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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.)

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3.8.47
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.)
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3.8.47 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.)

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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:

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Step 2

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

Formulas are given below:

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Step 3

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

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