Find the derivative of the function. y' = an−¹(x - √√₁+x²) 2 1 y = 5 tan

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A: Let's find all given function value.

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A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  substitute n+1…

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A: Let fx and gx be two functions that we know very little about. In fact, all we know is that ∫12fx…

Q: 35. Verify the following: sec sin 0.tan 0 sin e cos² e

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Q: Find the sum of the first 30 terms of the sequence. 3, 12, 21, 30, ... S30

A: given  3,12,21,30,.....the difference between numbers is 9we know that sum of nth term of a.p. is…

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: 14. √9-x² x2 S dx

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Q: a. Graph f(x) = . 2₁ b. Find lim f(x) and O A. ----X c. Does lim f(x) exist? If so, what is it? If…

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Q: 17. f(t) is the graph shown below and g(x) = f f(t)dt. Find g(0), g(1) and g(4). D 2 3

A: Let's find value of g(0),g(1) and g(4).

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Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

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Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: a) which of the following is the graph. of y = X² ex # B) 2 of 44 c)

A: Shown below...

Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

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Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

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Q: -X xy' + (1 + x)y = e¯* sin(2x)

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Q: 3. R is the region between f(x)=xln(x) and the x-axis on the interval [1, e]. (a) Write an integral…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

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Q: Solve the integral by substitution S- dx. -2x √25-x² Use the math type button tool ( √ ) under the…

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Q: Evaluate the integral. fact 6x + 3 x² 3 x5 5 x5 •3 2 x³ 3 - 6 x² co|800 x3 6 ln x + 3x 6x² 2 x3 3…

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Q: The figure below open cylindrical can, S, standing on the xy-plane. (S has a bottom and sides, but…

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Q: → R be a function defined by 3x² + x+5 f(x) = not continuous at x = = 0.

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Jse basic geometry to find §₂² (5 − x) dx. For this problem, do not use Riemann sums or the

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Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Compute the flux of the vector field F = xỉ + y) + zk through the surface S, which is a closed…

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