Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

Q: 4. Evaluate the integral 1 tanz+ tana+ x 2(x² + 1) + C 2(x²+1) x da 24 +22² +1 (d) tan-¹+ +C (e)…

A: To evaluate: I=∫dx(x4+2x2+1)=∫1(x2+1)2dx

Q: (17) Evaluate the following definite integrals: ³₂(x³ + x³)²dx ● ● sec(0) (sec (0) + 3 tan(0)) do •…

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Q: Evaluate the following iterated integral. ["""_p²sin(e) dp de de O 1872 3 O 872 3 T O 1090 7 I T

A: Evaluate the given integral which is in the form of spherical coordinate.

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A: Let's find double derivative of function.

Q: The notation {an} represents a sequence of an infinite number of terms. O True False

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Q: Find the Jacobian for the indicated change of variables. x = uy -2u, y = uv О д(x,y) H(u, v) О…

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Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: A particle starts from rest at time t= 0 and moves in a straight line, accelerating as follows: a =…

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Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

Q: A if statement I is false and statement II is true; B if both statements I and II are false; C if…

A: A graph of the function f is given below. To determine the correct choice for items 4, 5 and 6.A if…

Q: Find the curvature of the curve r(t) =

A: This question can be solved by applying the formula for curvature.

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Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

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Q: A region bounded by f(y) = √√√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: Evaluate the line integral Levis where C is the half circle x² + y² = 1, y ≥ 0. x² + y² ds

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Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: Find the definite integral of 16- -π/6 Option 1: Option 2: Option 3: Option 4: Option 1 Option 2…

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

Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: Solve the given equation for x. -5= −6+ 3e** O-4e³ O e³ --4 In 3 --4 O ln 3 4

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Q: 2)  Solve the differential equation by using integrating factors. (x + 3)y' = 8x + y y(x) =

A: (x+3)y'=8x+y y'=8x/(x+3)+y/(x+3) y'-y/(x+3)=8x/(x+3) linear differential equation dy/dx+Py=Q…

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Q: Evaluate x ln(x² + 1)dx. (Hint: Use Integration by parts) (x² + 1)ln (x² + 1) − x² + C - Option 1:…

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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…

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Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A: Topic = Algebra

Q: Solve x' = 3xt²-3t², x (0) = 2.

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 1. a) Compute each of the following limits. i ii ²-25 lim X-5 x+5 lim 5x²-3x+1 x-00 4x²+2x-7

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Q: aight Highway. He determines the angles of depression to two mileposts, 6.5 mi apart, to be 37° and…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use integration by parts to evaluate. Approximate using 3-decimal places. √1²25 7x² In (4x) 3 dx u=…

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Q: [xp(x)ƒ ƒ + xp((x)ƒ−),ƒ] – xp(x)ƒ‚ƒ (ª

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Q: Determine the value of each of the constants, A, B & C 4x²23x + 21 S x² - 4x + 3 Option 1: Option 2:…

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Q: a) Find the derivative of each of the following functions. Write the derivative in proper form,…

A: The given functions, i) fx=5x2e3x+5ii) fx=ln x7x+23iii) gx=2x3-9x-2+7x5

Q: 3√3 Find an equation of the tangent to the curve at the point (2 curve and the tangent. Select the…

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Q: 6. ormation to answer the next question Two functions are shown. y = f(z) is the function on the…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

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Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: 12. Which equation represents the image of y Oy= 1 x-4 Oy+4=1 1 Oy=274 x+4 Oy-4-1- 1 after a…

A: The objective of the question is determine the new function (equation) after translation upward.

Q: 1. (1-x) = y². ANS. y ln c(1

A: Given.

Q: #2. Find a power series representation (centered at a = 0) for the function below ƒ(x) = = 1 1+x5

A: We know that the power series representation (centered at a=0) for the function ft=11+t is given by…

Q: Problem 4.5 Let f(x)=x² - 2x² +3. (a) Find the intervals on which f is increasing or decreasing. (b)…

A: For the given function we need find out the intervals on which the function is increasing or…

Q: (e²y + te³y)dt + (te²+2) dy=o Initial condition: y(o)=-1

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Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the average rate of change of the function over the given interval. f(t) = 6t² - 5, [1, 1.1]…

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Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

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Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Differenciate function at given point and use equation of tangent plane

Q: Consider the following function and point. x +4 X-4' (a) Find the derivative of the function. f'(x)…

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