Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

Q: .2 3 Sx² sec² x³ dx

A: ∫x2sec2(x3) dx

Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

Q: Find the equation for the plane through Po(4,9,-7) perpendicular to the following line. x-4+t,…

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Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)]° and solve f '(2). Solution: Reason:

A: Solve the following

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Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: Sx² sec2 x³ dx

A:

Q: Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles,…

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Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False

A: Root Test : Suppose we have series ∑ an .Define,                          L = limn→∞ an1n .Then ,(…

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A: Given query is to find the value of the integral.

Q: 6 Find the sum of the arithmetic series, 3n+2. 50 75 100 25 O O O

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Q: Express à = (3, 1, –1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular…

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Q: S ey (x – 4) daæ dy - O a. O b. (a-b)(a²b?/6) O c. (b-a)(a²b?/6) (b+a)(a²b?/36) а. С. O d.…

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Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

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A: We need to choose correct option.

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A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: 2.s? (s – 1)(s² + 1) 2s – 13 2 s(s – 4s + 13)

A: Let's find.

Q: Given f(x) =x2- 1, find the value f(p).

A: Given: f(x)=x2-1

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Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: Suppose that the marginal cost function of a handbag manufac C"(x) = 3 -x² – x + 200 32 Quotlent %3D…

A: I have stated the used formula in the solution.

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Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0sts2M. 3.1. Find an equation…

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Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: (2xy + 3y²) dx – (2xy + x²) dy = 0 .. [VARIABLE SEPARABLE/HOMOGENEOUS |

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Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: LOSA ५.

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Q: The integral (2

A: Given: ∫124xx2-43dx

Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: 1. (a.) Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its…

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Q: 21 (e) If(x)| dx (f) f(x) dx 16

A:

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

Q: Sx In x dx

A:

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A: Given, f(x)= 2x²+1 [1,6] n= 5

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: Moving to another question will save this response. uèstion 4 Consider this function: y=-5 sin(3x +…

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Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

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A: We have to find out limit

Q: 0.005t2 + 0.9 Suppose that in a memory experiment the rate of memorizing is given by M'(t) | where…

A: Topic:- application of integration

Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

A: Here, the given curves are: r=cos θ &amp; r=2cos θ

Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

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Q: 2. Evaluate the integral csc2 (5x) d> -2csc(5x)cot(5x) + C O -10csc(5x)cot(5x) + C -cot(5x) + C O 1…

A: To solve the following problem