evaluate each of the following (or write DNE if it doesn’t exist): a) h′(1) b) h′(−1) c) h′(0)

Q: Evaluate lo' et cos dx

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Q: dx Using Trigonometric Substitution - f(e) - find (x² + x + 1) 2 4 3 sec e O 3 sec? e 4 4 3 sec? e O…

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Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: Find y′′, if y=xx.

A:

Q: O Given 2= 3 - 2i, w= 1+ 4i Find the @ 4w- 2z 13

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Which of the following will yield an inverse trigonometric function? dx A 9- 16х2 wdw B 25 – w 2 e…

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Q: Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of…

A: This question is related to application of derivatives.

Q: r(z) r(1-z) = = π cos ec (πz).

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Q: If "|xsin x|dr = kT, then the value of k is equal to

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Q: Find fr es sin(t − s) ds -

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the following first-order ODE: (2xy – sec? x)dx + (x² + 2y)dy = 0 || Solve it using the…

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Q: lim f(x) = I 2 lim z→2+ f(x) = lim f(x): 2-2 Find f(2) == =

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Q: If 2y - 3x = 5, then at (-1,2) is O a. -3 O b. 3 Oc. O c. -3 O d. 6 614

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Q: Sincx)-2y dxdy

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Q: .00 #fishow that e-x² dx = √n by considering e-(x²+y²) dxdy and a conversion to polar coordinates.

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Q: Find the following cofactors:(a) A13 (b) A21 (c) A32 (d) A33

A: Since you have posted multiple subparts we solve the first three subparts for youTo get the solution…

Q: 3) Find é=? Φ =?

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Q: a² cos(2a + 3) dæ .

A: In the question, the function x2cos(2x+3) is to be integrated to find the required answer.…

Q: b. C. L{t² cos(71)} L s-9

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Q: x cos(x) dx?

A: ∫xcosxdx

Q: 67. Sketch the graphs of Y₁2 cos cos/2 and y₂ = 2 cos x on the same set of axes for -27 ≤x≤ 47.

A: First , we will find value or y1 and y2  at different values of x .After that , we will put these…

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…