1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

Q: 25.In solving r In(In x) dx , which substitution should be used? O A. u = In(In æ) In a O B. U = Oc.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: In solving for the antiderivative of f(x) = (9 - x2)3/2 using trigonometric substitution, f(x)dx is…

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Q: Let A=[0 1 0 0 0 1 4 -17 8 ] Show that x = 4 is a root of det(A - xI) = 0. Hence find the other…

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Q: Given G = {a | a EN and 368 < a < 400} %3D G has subsets. G has proper subsets. Add Work

A: This is a problem related to set theory. Based on the general formula we will answer the question.…

Q: dx is 2/x – Sin|/x +s|+c. Vx +5 The antiderivativeof | - A True B) False

A: To find the antiderivative of the function

Q: ?dx V4 -x² 2.

A: Given ∫x24-x2dx

Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 88 and y=…

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Q: dæ Evaluate: a/9x2 + 4

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Q: Let f(x,y) = C be the antiderivative of F(x) = x-cos(2x), Determine the value of C if x = 22 and y=…

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Q: dæ Evaluate: æ/9a² + 4 Af(x) V9x2 + 4 + 2 In + C 3x B None of the given choices © f (x) = -2 ln V9x2…

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Q: What is the solution to the initial value problem below? y′=−2ex−6x3+4x+3 y(0)=7 Do not include…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) =- What is the value of C if x=12 and y=9 ?…

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Q: Which of the following is NOT an improper integral? x²dx A -2 Vx2-1 z/2 B sec x dx z13 tanxdr dx D…

A: Option C

Q: Given that lim f(x) = 0 lim g(x) = 0 Xa lim h(x) = 1 xa lim p(x) = 0 lim g(x) = 0, evaluate if the…

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A: Given; y=4x2, y=0, x=4   Now find the point of intersection between the curve y=4x2 and the line…

Q: 9-4x2 In solving for the antiderivative of f(x) = using trigonometric substitution, is transformed…

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Q: Would it be absolutely convergent or conditionally convergent?

A: Let, for the given series the nth term is an=-1nn15+1n23+3.   Using the ratio test of the absolute…

Q: Match the answer please

A: According to new guidelines we have to solve only 3 subparts if questions contains more than 3…

Q: x² dx Using trigonometric substitution, the integral is equivalent to A 4 sec²0 tan0 dô B | 4 tan 0…

A: Trigonometric substitution for x2 - a2  is x= a sec(theta)

Q: Determine the interval of convergence of the following power series: (x – 6)" V4n n=1 Answer: Click…

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Q: 12zdz=-In|csch2z– coth2z| +C 2 A) True B False

A: Solution:

Q: B) Use separation of variable or homogenous equation to get the general solution for each…

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Q: A function and its graph are given. Use the second derivative to determine each of the following.…

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Q: /x[cosh?(2x²) – sinh²(2x²) ]dx is equal to

A: solution :let…

Q: cos a 26.If S (cosº x · B)dæ +C, what is the B? %3D OA. - cos a 1 O B. csc z 1 O c. sec a O D. - sin…

A: This is a problem related to integral. Based on the general formula we will answer the question. As…

Q: ′−6x=1 Determine the general solution to the differential equation above. (Do not include the "+C"…

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Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

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Q: Let x = 1.56 and y = 3.66. Determine the value of C when you evaluate J cot (2x)dx. (use radian form…

A: This is a problem of integral of the trigonometric inverse function. Based on the general formula we…

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Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2x), Determine the value of C if x = 18 and y=…

A: We know that antiderivative of a function is same as indefinite Integral of that function.

Q: 30 25 20 15 10 -6 -5 -3 -2 1 0 -5 1. 3 4. -10 -15 -20 Find x when f' (a) g' (x) (Note: there is only…

A: Function

Q: Find a general term (as a function of the variable n) for the sequence…

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Q: Find the volume of the solid that results when the region enclosed by 1 -x² and x = 64 the curves Y…

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Q: Which of the following is true? cos(x) + cos(7x) ® s Ssin(4x)cos(3x)dx = [s A 2 B) All of the above…

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Q: dx Evaluate: x/9x² + 4

A: LetI=∫dxx9x2+4I=∫dxx(3x)2+22Put 3x=2tany  ⇒y=tan-1(3x2)differentiate…

Q: dx J x3 – 2x² + 9 – 18

A: Given problem:-

Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form Judv =…

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Q: dx The antiderivativeof |- x +5 is 2- Sin|Vx +s| +C. A) True B False

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Q: (x+1) dx If A B C + + dx ,the values of A & C respectively are (x+2) (x- 1)2 (x – 1)2 x+2 X- 1 3

A: We will evaluate the integral using partial fraction as following.

Q: The result of the integral in 0 given V Vr²- 25 -dy is 5 tan0 -50 +C, True B False

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Q: xcos-1(x) If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = is (use radian…

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Q: x dx is equivalent to 5+x If we let =V |5+x, the integral A u (5 = u²) du В u (u² – 5) du | 2(u²– 5)…

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Q: Find the intervals on which g is increasing and decreasing. g(x) = - 7x3 (x2 - 4) Select the correct…

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Q: Find the center of mass of a plate with constant density d formed over the region bounded by y 16 –…

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Q: Which of the following is true? 10 @ Jsin*(x)cos°(x)dx = - cos (x) , cosº(x) cos(x) + C 4 10 (B) All…

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Q: dæ Evaluate: A f (x) = -3 ln (|1 – V¤) + C B) None of the given choices f (x) = 3 ln (| V – 1|) +C f…

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Q: +e-2m) dm=2| cosh2m dm A True B False

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Q: de Evaluate: x/9x² +4 V9x2 + 4 + 2 In 4 1 @f(x) = +C 3x B) None of the given choices V9x2 + 4 + 2 In…

A: In this question we have to find the Integration.