V53 Given csc A and that angle A is in 7 Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator.

Q: In 3x?+8x = 12)dx x3+7x2+ 12x , the complete factored form of the denominator is x(x+4)(x+3) A True…

A: In this question we have to determine whether the statement is true or false.

Q: Find the solution of the following initial value problem. 1 1 3 v'(x) = 8x° - 4x 3 ; v(8) = 51, x>0…

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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: 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: V52 -9 dx 3x

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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…

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

A: Solution:∫sin4xcos5xdx∫sin4xcos4xcosxdx∫sin4xcos2x2cosxdx∫sin4x1-sin2x2cosxdxlet, sinx=tcosxdx=dt

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: Find the slope of the line 3x-4y-10=0 О а. 4/3 O b. 3/4 О с. 3 O d. 4

A: Solve the following

Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct…

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Q: x+ y dydx = Inß ху %3D Find B.

A: The objective is to find the value of beta.

Q: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

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

A: answer is in step 2

Q: 2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d.…

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Q: The decay of an isotope is given by A) Aea00047 where A is the amount of the isotope at time t (in…

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Q: V -4 dt 3t

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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: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: Evaluate: Jevdx. A = 2ev/x+1)+C © - 2evã(/x+1) B + C © =2ev^(/x-1)+c

A: To solve the following integral

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

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: x*dx , the simplified integral after substitution is: |x² – 4 Using trigonometric substitution…

A: To simplify the above integral we have to use trigonometric technique .

Q: To evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare A sin²2x =1– cos2x…

A: We need to choose correct option.

Q: Graph f(x) = e +2. Choose the correct graph. OA. Ay 4- OB. Ay OD. Ay Oc. Ay o 包

A: We need to choose correct graph.

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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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: 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: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: B C a A Note: Triangle may not be drawn to scale. Suppose a = 10 and b = 7. Find an exact value or…

A: Follow next step

Q: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the…

A: We will find how many minutes of the ride are spent higher than 18 meters above the ground as…

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

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Q: Evaluate: cos32xdx cos³2x - +C 6. cos2x (A) cos32x +C cos2x B sin2x sin32x +C 6. = 2 sin32x + C 6.…

A: Given query is to find the integral.

Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

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Q: 7-4 dt 1.

A: We need to evaluate integral.

Q: o begin evaluating | sin“x cos x dx , express A sin*x to (sin?x)* and use the identity sin?x = 1-c…

A: Given query is to find the identity used to integrate.

Q: - A ladder of length 17 feet is leaning against a wall. The base of the ladder is moving away from…

A: Given query is to find the rate of change of angle.

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

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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: ,Insec 2 (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y (A In…

A: topic - integration

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

A: Given, u= √(25-x2)

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Evaluate: Je*cos(7e*)cos(4e*)dx. 1 A 1 ④ 능Sin(3e")- Sin(11e") +C sin(11e*) + C 22 1 (в 1 sin(3e*) +…

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: sing reciprocal substitution *= the integral - dx reduces t I dz -1) 13 -dz (z?– 1) 1/3 zp- D dz

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Q: sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A…

A: To solve the following integral

Q: x4dx Using trigonometric substitution technique, the simplified integral after substitution 4 @…

A: ∫x4x2-4dx=∫x3xx2-4dxLet θ=arcsec12x.=∫ 16sec5θdθ

Q: 2cos'z = COS T Select all correct solutions.

A: Follow the procedure given below.