Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+ C 4 Dsin2y- ycos2y-sin2y+ c 2 2 4

Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = 4x -…

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Q: Classify each as an identity equation or conditional equation 1. tan 2x = 2 tan x 2. sec x =…

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Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: Find fo° f(x) dx if S2 for x 2. f(x) =

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Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

Q: Write the general solution to y = arccos (3) y = + ±2 k 3 y = + +2 7ck 4 Oy =++2 Ik

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: #12- Fnd the indefinite integral of the follaung funchon and check the result by differentionion.

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

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

Q: Use synthetic division to divide. -4x3+ 23x2- 31x+ 12 4х — 3 -16x2+ 12x+ 16 -4x2- 12x+ 16 -x²+ 5x- 4…

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Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the…

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Q: Direction: Evaluate f'(2) for the given functions. Show your solutions on a separate sheet of paper.…

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Q: Find the area of the parallelogram with vertices ?(−1,2,4), ?(0,4,8), C(1,1,5), and D(2,3,9).

A: Let us take  A = (−1,2,4), B = (0,4,8), and C(1,1,5).

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: 1(x) (х+1)* II

A: follow the procedure given below.

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j + tk; t = 2 (), T. %3D ||

A: r(t)=(2 cos(t), 2 sin(t), t)r'(t)=-2sin(t), 2cos(t), 1r'(t)=4+1 =5T(t)=r(t)r'(t)T(t)=15-2sin(t),…

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

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Q: Write the complex conjugate of the complex number. Then multiply the number by its complex…

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Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

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: " dt = - * kdt, where k is constant A) True B) False

A: The objective is to find the correct option.

Q: Match each set of triangle measurements with the specific case you would use to solve for the…

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Q: Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

A: We have to construct  the integral to find the region bounded by given curves.

Q: Find the vertex of the parabola, y=x²+4x+1 O a. (2,13) O b. (-2,-3) O c. None O d. (-4,0)

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: Find the sum of the infinite geometric series 1 1 1 4 1 +.. 64 16

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Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: We have to find the concentration at given time t.

Q: Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.3x –…

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Q: 9=3 Sin 2X 2.

A: answer is in next step

Q: dx Vx3 V2 + x

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

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 &amp; x=14 To find Area:

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: 3号x}

A: answer is in next step

Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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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: For the function f, use composition of functions to show that f 1 is as given. 7x -7 f(x) = 7x+1,…

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Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

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Q: Suppose z = x? sin y, x = –2s² + 2tť², y = 2st. A. Use the chain rule to find and dz as functions of…

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: .2 x In x dx ; with (h = 0.1)

A: follow the procedure given below.

Q: Find the general solution of 2 4 4 X' = -1 -2 0 X. -1 -2

A: To solve the following problem

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

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Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

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Q: Find the Inetgral by substitution. 3x^5/sqrt(7-12x^6)

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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