x² – 4 Evaluate:

Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

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: Find the absolute extrema of the function on the interval [2, 10]. (Round your answers to the…

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Q: Problem 3. The softplus function is given by A2) = log(1 + e) A) Plot ſ(2) as a function of z. If…

A: (1) solution

Q: 4. Show that if x, y, z are integers such that x2 + y2 + z? = 2xyz, then x = y = z = 0. (H)

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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: 3. .

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Q: 4V (7x – 5)5

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Q: ,In sin –1x ) dx / sin(e n sin -x -cos(sin-!x) +C V 1– x² | A True B False

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Q: Suppose that f and h are integrable and that: frx) = -1 , , f(x) dx = 5 , ,h (x) dx = 4 ,Find: a. -2…

A: We have to find the given integrals.

Q: raluate each of the following indefinite integrals: Show complete and detailed solutions. Expr swers…

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Q: If the terminal arm of an angle, x, in standard position passes through the point (-a, -2a) where a…

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: - Let R and S in the figure above be defined as follows: R is the region in the first and second…

A: Given y=3-x2 y=2x

Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t – 1)?, the position…

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Q: Question 10 [i[cosh:(2x²) – sinh ( 2x³) ]dt is equal to A © Sude xdx E None

A: Integration

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

A: Given query is to find the graph is the function.

Q: 12 + 11uzy + 2uyy = 0

A: answer is in next step

Q: x1/2 dx reduces to Using an appropriate algebraic substitution, the integral 1+x32 2y2 dy 1+y3 ys dy…

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Q: () If h(x) = | cosxdx and h =4, then h (0) is equal to 4 A None B -4 C) - 3 D 4 E

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Q: Solve the following equation for x (find all solutions between 0° and 360° Round answer to 2…

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Q: For each part, type your answer in If sin(x) then csc(x) = %3D If cos(z) = then sec(x) = 3. %3D If…

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Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True B) False

A: Solution: ∫sechlnsinxcotxdx =2tan-1(sinx)+C

Q: Find the equation of a plane that is perpendicular to the vector 4i+4j−3k and passing through the…

A: On solving this we will get

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

A: We have to find the antiderivative of the given function.

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: ep along the shore at a point 1400m from the nearest point?

A: Please refer to the image below

Q: 2x+3, x<1 f(x) dr if f (x) = 5, Evaluate -3 A 21 B 19 28 16

A: fx=2x+3,x&lt;15,x≥1

Q: Graph the function and its inverse using a graphing calculator. Use an inverse graphing feature, if…

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Q: The x2- 4 dx can only be evaluated using trigonometric substitution technique . A True B) False

A: To find if the given integral can be solved only by algebraic substitution technique.

Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: please

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Q: What would be the shape of the graph r = 2 cos 0, given that 0 = 0, 7 , 5, 5? O semi-circle in the…

A: We know cosθ takes positive values in first quadrant that is for 0&lt;=θ&lt;=π/2 The equation…

Q: In a triangle, assume angle A is opposite side a, angle B is opposite side b, and angle C is…

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Q: f (#) = 2x-3 and g () = ; then (f – g) (z) = %3D %3D Das- 9) (z) = 2 5 | b(f- 9) (x) = 2x2-3x-2 2x…

A: Given query is to find the value of indicated function.

Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

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Q: The New River Gorge Bridge is 880 feet above the water below. A bottle rocket is launched upward off…

A: To find out the velocity and acceleration.

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: Evaluate: Jy?cos2ydy 글an2y-글ycos2y+ 금snzy+ A 1 1 1 żsin2y-ycos2y-sin2y+C В 4 1 © sin2y+ycos2y+sin2y+…

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Q: Evaluate: | evxdx.

A: Evaluate : ∫exdx

Q: se transformations to graph f(x) = - 5* - 1. O A. ... hoose the correct graph. 110 10 OC. 10 10

A: Given query is to find the graph of the function.

Q: Using the limit definition of a derivative find the derivative of f(x)= the square root of 4x-3.…

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Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent…

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Q: Question 14 If we let 4=V5+x, the integral -1 is equivalent to V5+x

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Q: f(r) = x – 8r2 Find • The critical points. • The interval where f increases and decreases. The…

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Q: x/4 The definite integral sin24x cos2x dx is equivalent to x/2 1 -sin20 cos20 de A x12 2sin20 cos40…

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Q: То evaluate y?csc?(y³) cor2(y³)dy, we let u =csc(y³) A True B False

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