Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the definite integral | f(a* – 20*) · (x³ – æ)dx.

Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

A:

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: Find the derivative of the function. f(x) = (x³ + s ]Inx O a. x*(1+Inx)+5 O b. x'(1+31nx)+ 5 O c…

A: We have to check

Q: Find dy dx . y = || 1 (3x¹ +3)6*

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Q: Use logarithmic differentiation to find the derivative of y y = X X+7 OA. OB. O C. (3)√ 2 7 O D. X…

A: topic- differentiation properties of log used:log(ab)=blog(a)logab=log(a)-log(b)derivative formula…

Q: Find the derivative of the function.

A: y=1212lnx+1x-1+arctanx⇒y=1212lnx+1-lnx-1+arctanx    ∵lnxy=lnx-lny⇒y=1212lnx+1-12lnx-1+arctanx

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: If f(x) is a pdf, then f(x) can take any value in R (i.e., f(x) can be any real number). O True…

A: We have given that the statement about to the probability density function (pdf) f(x).

Q: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³+ 6x d. h(x)…

A: Given data

Q: Consider the following function. H(x, y) = In(8x² + 3y²) (a) Find fxx(2,3). (b) Find fyy(2,3). (c)…

A:

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Use the definition of the derivative to determine whether x 2 x, f(x) = is differentiable at x = 2.…

A:

Q: (d) Let h(x) g(f(x)). Use the figure below to find h'(1) or state why the derivative does not exist.…

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Q: Determine whether f is continuous at a = -1.

A: Given- fx=x2-1x+1   if x≠-16           if  x=1 To find- whether f is continuous at x=-1 or not.…

Q: I. Find the derivative of the given function by definition f (s) = (5s" + 2)(2s" – 1) Where r is the…

A: Function:                          f(s)=(5sr+2)(2sr-1)   Here :                           r=4;

Q: Where is Log(z2 + 2) holomorphic (Analytic ) function ?

A:

Q: h(x) = In (a- 7) (r +3)

A: