Added Cloud SQL MySQL connectivity samples for mysql library.

.kokoro/cloudsql-mysql.cfg

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+# Format: //devtools/kokoro/config/proto/build.proto
+
+# Set the folder in which the tests are run
+env_vars: {
+    key: "PROJECT"
+    value: "cloudsql/mysql/mysql"
+}
+
+# Tell the trampoline which build file to use.
+env_vars: {
+    key: "TRAMPOLINE_BUILD_FILE"
+    value: "github/nodejs-docs-samples/.kokoro/build.sh"
+}

cloud-sql/mysql/mysql/README.md

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+# Connecting to Cloud SQL - MySQL
+
+## Before you begin
+
+1. If you haven't already, set up a Node.js Development Environment by following the [Node.js setup guide](https://cloud.google.com/nodejs/docs/setup)  and 
+[create a project](https://cloud.google.com/resource-manager/docs/creating-managing-projects#creating_a_project).
+
+1. Create a 2nd Gen Cloud SQL Instance by following these 
+[instructions](https://cloud.google.com/sql/docs/mysql/create-instance). Note the connection string,
+database user, and database password that you create.
+
+1. Create a database for your application by following these 
+[instructions](https://cloud.google.com/sql/docs/mysql/create-manage-databases). Note the database
+name. 
+
+1. Create a service account with the 'Cloud SQL Client' permissions by following these 
+[instructions](https://cloud.google.com/sql/docs/mysql/connect-external-app#4_if_required_by_your_authentication_method_create_a_service_account).
+Download a JSON key to use to authenticate your connection. 
+
+
+1. Use the information noted in the previous steps:
+```bash
+export GOOGLE_APPLICATION_CREDENTIALS=/path/to/service/account/key.json
+export CLOUD_SQL_CONNECTION_NAME='<MY-PROJECT>:<INSTANCE-REGION>:<MY-DATABASE>'
+export DB_USER='my-db-user'
+export DB_PASS='my-db-pass'
+export DB_NAME='my_db'
+```
+Note: Saving credentials in environment variables is convenient, but not secure - consider a more
+secure solution such as [Cloud KMS](https://cloud.google.com/kms/) to help keep secrets safe.
+
+## Running locally
+
+To run this application locally, download and install the `cloud_sql_proxy` by
+following the instructions [here](https://cloud.google.com/sql/docs/mysql/sql-proxy#install).
+
+Once the proxy is ready, use the following command to start the proxy in the
+background:
+```bash
+./cloud_sql_proxy -dir=/cloudsql --instances=$CLOUD_SQL_CONNECTION_NAME --credential_file=$GOOGLE_APPLICATION_CREDENTIALS
+```
+Note: Make sure to run the command under a user with write access in the 
+`/cloudsql` directory. This proxy will use this folder to create a unix socket
+the application will use to connect to Cloud SQL. 
+
+Next, setup install the requirements with `npm`:
+```bash
+npm install
+```
+
+Finally, start the application:
+```bash
+npm start
+```
+
+Navigate towards `http://127.0.0.1:8080` to verify your application is running correctly.
+
+## Google App Engine Standard
+
+To run on GAE-Standard, create an App Engine project by following the setup for these 
+[instructions](https://cloud.google.com/appengine/docs/standard/nodejs/quickstart#before-you-begin).
+
+First, update `app.standard.yaml` with the correct values to pass the environment 
+variables into the runtime.
+
+Next, the following command will deploy the application to your Google Cloud project:
+```bash
+gcloud app deploy app.standard.yaml
+```
+
+To launch your browser and view the app at https://[YOUR_PROJECT_ID].appspot.com, run the following
+command:
+```bash
+gcloud app browse
+```
+
+## Deploy to Google App Engine Flexible
+
+First, update `app.flexible.yaml` with the correct values to pass the environment 
+variables into the runtime.
+
+Next, the following command will deploy the application to your Google Cloud project:
+```bash
+gcloud app deploy app.flexible.yaml
+```
+
+To launch your browser and view the app at https://[YOUR_PROJECT_ID].appspot.com, run the following
+command:
+```bash
+gcloud app browse
+```
+

cloud-sql/mysql/mysql/app.flexible.yaml

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+# Copyright 2019, Google, Inc.
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+runtime: nodejs
+env: flex
+
+# The following env variables may contain sensitive information that grants
+# anyone access to your database. Do not add this file to your source control.
+env_variables:
+  DB_USER: MY_DB_USER
+  DB_PASS: MY_DB_PASSWORD
+  DB_NAME: MY_DATABASE
+  # e.g. my-awesome-project:us-central1:my-cloud-sql-instance
+  CLOUD_SQL_CONNECTION_NAME: <MY-PROJECT>:<INSTANCE-REGION>:<MY-DATABASE>
+
+beta_settings:
+  # The connection name of your instance, available by using
+  # 'gcloud beta sql instances describe [INSTANCE_NAME]' or from
+  # the Instance details page in the Google Cloud Platform Console.
+  cloud_sql_instances: <MY-PROJECT>:<INSTANCE-REGION>:<MY-DATABASE>

cloud-sql/mysql/mysql/app.standard.yaml

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+# Copyright 2019, Google, Inc.
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#    http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+runtime: nodejs8
+
+# The following env variables may contain sensitive information that grants
+# anyone access to your database. Do not add this file to your source control.
+env_variables:
+  DB_USER: MY_DB_USER
+  DB_PASS: MY_DB_PASSWORD
+  DB_NAME: MY_DATABASE
+  # e.g. my-awesome-project:us-central1:my-cloud-sql-instance
+  CLOUD_SQL_CONNECTION_NAME: <MY-PROJECT>:<INSTANCE-REGION>:<MY-DATABASE>

cloud-sql/mysql/mysql/package.json

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+{
+  "name": "cloudsql-mysql-mysql",
+  "description": "Node.js Cloud SQL MySQL Connectivity Sample",
+  "version": "0.0.1",
+  "private": true,
+  "license": "Apache-2.0",
+  "author": "Google Inc.",
+  "repository": {
+    "type": "git",
+    "url": "https://github.com/GoogleCloudPlatform/nodejs-docs-samples.git"
+  },
+  "engines": {
+    "node": ">=8"
+  },
+  "scripts": {
+    "unit-test": "ava --verbose test/*.test.js",
+    "start-proxy": "! pgrep cloud_sql_proxy > /dev/null && cloud_sql_proxy -dir=/cloudsql -instances=$CLOUD_SQL_INSTANCE_NAME &",
+    "system-test": "repo-tools test app -- server.js",
+    "system-test-proxy": "npm run start-proxy; npm run system-test",
+    "all-test": "npm run unit-test && npm run system-test",
+    "test": "repo-tools test run --cmd npm -- run all-test"
+  },
+  "dependencies": {
+    "@google-cloud/logging-winston": "^0.10.2",
+    "body-parser": "1.18.3",
+    "express": "4.16.2",
+    "promise-mysql": "^3.3.1",
+    "prompt": "1.0.0",
+    "pug": "2.0.3",
+    "winston": "^3.1.0"
+  },
+  "devDependencies": {
+    "@google-cloud/nodejs-repo-tools": "3.1.0",
+    "ava": "0.25.0",
+    "proxyquire": "^2.1.0",
+    "supertest": "^3.3.0",
+    "sinon": "^7.1.1"
+  },
+  "cloud-repo-tools": {
+    "requiresKeyFile": true,
+    "requiresProjectId": true,
+    "test": {
+      "app": {
+        "requiredEnvVars": [
+          "DB_USER",
+          "DB_PASS",
+          "DB_NAME",
+          "CLOUD_SQL_INSTANCE_NAME"
+        ],
+        "args": [
+          "server.js"
+        ]
+      },
+      "build": {
+        "requiredEnvVars": [
+          "DB_USER",
+          "DB_PASS",
+          "DB_NAME",
+          "CLOUD_SQL_INSTANCE_NAME"
+        ]
+      }
+    }
+  }
+}