nd dy/dx and d2y/dx². x = et, y = te-t dy dx dx² = = -2t) ∙e (t-1) -3t (2t-3) or which values of t is the curve concave upward? (Enter your answer using interval notation.) #> 1.5

Q: If f(x) = 2x + 2x – 7, find the equation of the line tangent at z = - 2. -6 Preview

A: Explanation is given below..

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the length of the following curve. y = 2x + 4 on 3-2, 24 (Use calculus.)

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Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: Put the function in the form y = ab' and state the values a and b. Enter the exact answers. a = b =…

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Q: The ordered pairs below give the intensities y in microwatts per square centimeter of the light…

A: Consider the given model: y=171.33x2 The ordered pairs below give the intensities y in microwatts…

Q: Integrate the function. dx XV 49x -4

A: Given: Let I=∫dxx49x2-4 To Find: To integrate the given function

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: y = 2x / 1-x2  Find the intervals where the curve is up and down

A: To Find the intervals where the curve is up and down. y = 2x / 1-x2

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…