  3.8.47Question Helpa. Verify that the given point lies on the curve.b. Determine an equation of the line tangent to the curve at the given point.122x2+5xy+5y -68; (3.2)12a. How do you know that the point is on the given curve?A. The value of 2x2 +5xy +5y2 is less than 68 when x is 3 and y is 2.The value of 2x+5xy + 5y is 68 when x is 3 and y is 2C. The point (3,2) is in the domain of the implicit function.D.The point (3,2) is in the first quadrant.b. Write the equation for the tangent line in slope-intercept form(Use integers or fractions for any numbers in the equation.)

Question help_outlineImage Transcriptionclose3.8.47 Question Help a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. 12 2x2+5xy+5y -68; (3.2) 12 a. How do you know that the point is on the given curve? A. The value of 2x2 +5xy +5y2 is less than 68 when x is 3 and y is 2. The value of 2x+5xy + 5y is 68 when x is 3 and y is 2 C. The point (3,2) is in the domain of the implicit function. D. The point (3,2) is in the first quadrant. b. Write the equation for the tangent line in slope-intercept form (Use integers or fractions for any numbers in the equation.) fullscreen
Step 1

We have to verify the point (3,2)  lies on the curve .

We have to find equation of tangent line to the curve  at point (3,2).

Curve  equation is given below:

Step 2

We will use following formulas to find  derivative and tangent line.

Formulas are given below:

Step 3

Part (a) for verification we have put point on the curve equation and we are g...

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