To begin evaluating | sin*xcos°xdx conveniently, express: cos x as (cos?x) 2cosx and use the Half - Angle Formula cos?x=. (1+ cos2r) A sin*x as (sin?x)2and use the identity sin?x =1- cos?x

Q: Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+…

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Q: Determine if the following series is convergent or divergent: 3n 7n – 2 - n=1 O Convergent O…

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Q: x +1 8. J x(x+ 4)3 dx

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Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

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Q: I. Write 2 – 7i in polar coordinates on the complex plane. - II. Find (1+ i)° using DeMoivre's…

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Q: Find the critical numbers of the function. y- 2 g(y) = %3D y2 - 2y + 4

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

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Q: Use the method of Substitution to integrate the following 5s * e^(s^2+4)

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards Let A = [ the card is a black…

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Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

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Q: e4x dx ? (4e2x + 9)/2 Which of the following trigonometric substitutions is the most appropriate to…

A: integration if it is helpful please like it

Q: 9. xInx dx

A: Here , we have given a indefinite integral in which two functions are given now we will solve this…

Q: x[cosh?(2x2) – sinh²(2x²) ]dx is equal to A) x?dx B None xdx D dx (E) 4 xdx

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Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

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Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 х — 1 is x =

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Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

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Q: Use long division to divide. (x³+ 4x²+x+ 4)÷ (x+ 4) x²+ 8x+ 33 x2+ 1 120 x²+ 8x+ 33+ x+ 4 x²– 4 129…

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Q: Vy²– 25 The result of the integral in 0 given dy is 5 tane – 50 +C, y

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Q: Given: tan z = - and z is in Quadrant IV. Find the exact values of sin (), cos (). and tan (5)…

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Q: Find the vector PQ × PR if Р%3 (2, 1,0), Q = (-3,21, 10), R = (5, -2,9) (Give your answer using…

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Q: The form of decomposing a single irreducible quadratic factor in agiven inteeral is / (2ax+b)A+B dx.…

A: To write that it is true or false.

Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: Consider the following. u = 6i + 2j, v = 5i + 3j (a) Find the projection of u onto v. (b) Find the…

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Given the area of the region enclosed by y = 4 – x and y = -x+2, identify the integral that…

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Q: Exercises Use the trapezoidal rule of integration to determine the value of the following integrals…

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Q: To begin evaluating sin*xcos xdx conveniently, express: 1 A cos x as (cos?x) ²cosx and use the Half…

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Q: is 2/x – Sin|/x+s| +C. Vi+s The antiderivativeof A) True B) False

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Q: d the area. de one leaf of the three-leaved rose r= cos30 red by the circle r=2 and the cardioid…

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Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: Consider the function  f(y)=-24y25

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: 25 - x2 In dx , if we let u=V 25 – x2 , then udu = - xdx. A True B False

A: On solving this we will get

Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

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Q: 4-z² 2-y а zdxdydz = b Find a + b

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: Given the polar coordinates (1, - 4), which of the following would represent the p ㅇ(1, 쫄) O (1, 7)…

A: Given query is to find the equivalent positive angle coordinates.

Q: a. f (x) sin x

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

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: ∫sin7xcos5x1-sinx21+sinx2dx=∫sin7xcos5xcos2x1+sinx21+sinx2dx=∫sin7xcosxdxLet u=sinx.=∫…

Q: Determine whether the series converges, and if so find its sum. 1 %3D (k + 5)(k + 6) k=1 (Enter DNE…

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Q: Find the area, if it is finite, of the region under the graph of y = 14x° over [0,00). Select the…

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Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: A spherical snowball melts at a rate of 36π^2in³/sec. At what rate is the radius of the snowball…

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

A: Evaluate the given laplace transform.

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: Find the equation of the plane that passes through the point (2, 1, 1) and is tangent to the surface…

A: We have to find the equation of the tangent plane.

Q: Convert the polar coordinates (- 3, -4) to Cartesian coordinates. O (3/2/2, -3V2/2) (-3v2/2, 3V2/2)…

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Q: dx By algebraic substitution, the integral |- -dx is converted to: 4+x dy A y+4 2ydy B у+4 2 dy y+4…

A: We can solve as follows