S sin®xdx

Q: Find if yvx – 8 = xy + 2.

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Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydx (8r+7)dudy O none of the oices

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Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: Question 3 2 dr sech 2r = A True B) False

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Q: [a, b, ci] [a2 b2 c2] A, = [d2 e2 2] a3 bz C3 Az = \ds es fal If A, = and are any 2 x 3 matrices,…

A: Here we have to prove the given operations.

Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

A:

Q: Find all values of x that satisfy the equation f'(x) = g'(x) if f(x)=sin x and g(x)=cos x. a. * +kT,…

A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: integral is true or false: 3 dxdydz = 72. 0. 1 -3 Select one: Truo

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Q: dx = x +C 3. 45x dx = -5x +C 4. 12V dx =-x+2x' +C 4x + 35x 4. 4 +8x dx = -5xi +C 4 28x 15x dx = 4x+-…

A: The integration of the integral  35x3/4/4 +8x-3.

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

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Q: %3D /Q5) Find volume of body bounded by z2 +y2 + x2 = 4.

A: To find the volume of the body bounded by z2+y2+x2=4.

Q: Differentiate the following functions. Show your complete solutions and emphasize your final answer.…

A: 1) f(x)=25x    Differentiate with respect to x   f'(x)=252) f(x)=-4x5+2    Differentiate with…

Q: Evaluate: (cosh²2r+ sinh²2r) dr A r +C -sinh 4r +C 4 B (c) None - sinh 2r + C 2r +C

A:

Q: ey -2Vy-5inlVy+5| +C Vy+5 A) True False

A: I = ∫dyy+5 Let, y = t2   ...(1) Differentiating both sides, gives dy = 2tdt  ...(2)

Q: If f(x) = 2x + Ax?+ + Bx – 5, find the value of A when f(2) = -3 and f(-2) = -37 -5 -3

A: A=-15/4

Q: Determine the area of the circle whose center is at the origin and tangent to the parabola y = x2 -…

A: y=x2-100from the grapph attached, Parabola cuts X-axis at (10,0) and (-10,0)

Q: dz In Vz+4 - 2 2ydy , if we let y=Vz+4, then the new integral becomes у-2 A True B False

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Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: k=1 2K (c) Use the ratio test for absolute convergence to determine whether the series converges or…

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Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydr (8r+7)dudy O none of the oices

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Q: Q1) Evaluate the following integral using Partial Fractions Method: y = : x³ +x? dx х2 +x — 2

A: Given: y=∫x3+x2x2+x-2dx   We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

Q: + C2e¬4x The auxiliary equation of a second-order homogeneous linear differential equation is m2 –…

A:

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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Q: x² – 25 S The antiderivative of dx is V x2 – 25 – sec-lx+ C. A True В False

A: follow next step

Q: Q4) Evaluate the following integral using Trigonometric Substitutions Method: 1 - x dx 2. y =

A: To evaluate the given integral.

Q: 4 4-y Q3) Evaluate triple integral , S S dz dy dx

A: I have stated the used formulas in the solution

Q: Descibe he moton of a partice with position y= 5 sin t; y=2 cos t as t varies in the interval - T, 5…

A: To find the motion of particle.

Q: Find the values of a and b for the curve x*y+ay =b if the point (1,1) is on its graph and the…

A: Given,            The curve is x2y+ay2=b if the point 1,1 is on its graph and the tangent line…

Q: + c2e4x The auxiliary equation of a second-order homogeneous linear differential equation is m - 7m…

A:

Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

A: Follow the procedure given below.

Q: Consider a function () whose dertvative ') continuous as shawn below Graph of f'(x), NOT f(x) 1 5 -1…

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Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: Consider Evaluate (ar +6r)e' (6r*+9x)e

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Q: 9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

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Q: Su Find D. andR X -1 %3D Xマ→!

A: Explanation of the answer is as follows

Q: 5. S csc* dx *csc4 x²

A: Given problem:-

Q: (1 f(x) ={ 5 if x = 4 at x = 4 if x + 4 x - 4

A: limit continuity differentiability at x=4

Q: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

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Q: Qel Find the limis hth G8h alie んう0 2lim 土 2x2_8

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Q: In this question you must show detailed reasoning. Use the substitution u = 6x2 + x to solve the…

A: The given equation,      36x4+12x3+7x2+x-2=0

Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

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Q: dx 1.4 Ven(3)+2x dx 1.5 Show steps. Your reasoning is more important than the numerical answer.

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Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

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Q: Apply the chain rule to differentiate the following functions. Show your complete solutions and…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: Question 11 |In |25- x² -dx , if we let u=V25- x² , then udu= - xdx. T True F False

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Q: sec'x tan?x dx, can be evaluated by using trigonometric transformation. A) True B) False

A: Let's find.

Q: tanzVx sec*/x dx

A:

Q: Solve the following Initial Value Problem: y"+ 16y 0, 2 and y'()= 5. %3D

A: y''+16y=0Auxillary equation ism2+16=0m2=-16m=±4iGeneral solution isy=C1cos4x+C2sin4x