4 Integrate: x2 + 4x + 8 + C

Q: l+ cost = ip- cot²tdt 1- cost (A) True B) False

A: From formula Cos θ = 2 Cos2(θ/2) -1   Cos θ = 1 - 2 Sin2(θ/2) (1+ Cos t)/(1-Cos t) =(1+2Cos2(t/2)-1)...

Q: On which interval does the function f(x) = (x+ 5)/(x - 1) discontinuous? %3D O a. (1, 2) O b. (-2, 1...

A: topic - limits and continuity

Q: Find the antiderivative of the integrand 49* dx . 72x (A) + C 2 In 7 49* В + C In 2 49* + C In 7 + C...

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Q: Evaluate the given function ſ sec5xtanxdx a. sec*x + C b. sin*x + C c. cosx + C d. 금esc5x + C

A: topic - indefinite integral

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A: topic - area under the curve

Q: 3. 2. 13) tan -1 3. V3 15) sin- 17) tan-1 1. 19) sin--

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Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical coordina...

A: Given: x=3, y=9, z=3.  

Q: f(x.y) = xy' - 2x, P = (1, 1) 2.3 (a) In the direction of v (3.3) (b) In the direction toward the po...

A: Q(18).    Given f(x,y)=x2y3-2x, P=(1,1)

Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

A:

Q: Find the exact cause of each expression

A: To find the exact values of the given expressions.

Q: d?y dy + 5 14y dx2 dx Determine the Characteristic Equation for the given Differential Equation.

A: For solving such differential equation we put y=erx, where r is any constant.Since , d(eax)dx= a eax...

Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: topic - derivative

Q: x³ – 27 dx . x - 3 Find the antiderivative of A x3 – 3x2 + 9x + C x2 3x B) + 9 + C - - 3x2 9х + C 3x...

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Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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Q: S3cos³x - 1- sin?x To evaluate (x, the integrand can be transformed to A S(3cos?x + csc?x) dx B) 8 3...

A: The given integral,        ∫3cos3x-11-sin2xdx

Q: The cost function for production of a commodity is C(x) = 386 + 29x - 0.07x2 + 0.0005x. (a) Find C'(...

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Q: 29- 3D (2) H

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Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: Determine whether the integral is convergent or divergent. 1 dy 1 4y convergent divergent If it is c...

A:

Q: Given that lim f(x) = - 8 and lim g(x)= 2, find the following limit. X→3 x-3 lim [8f(x) + g(x)] lim ...

A: topic - limits

Q: 19. Why is it important to sample not more than 10% of the population when the sample is drawn witho...

A: Given questions : 19. Why is it implortant to sample not more than 10% of the population when the sa...

Q: Listen Rewrite the vector as a linear combination of unit vectors. v = Ov= -2b + 9c Ov = -2j+9k Ov ...

A: For equivalent vector magnitude and slope must be same

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Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

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Q: 2f(x) Evaluate the lim,→1 g(x) Refer to the graph below. 2. f(x) g(x) Answer:

A: topic - limits

Q: If f(r) 2x(sin z + cos ), find f'(z). f'(#)- Evaluate the derivative at a = 3. Enter an approximatio...

A: Given query is to find the derivative of the expression.

Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x + ...

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Q: Write the function g(x) in terms of the function f(x).

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Q: 3. Find the area bounded by the graph of the indicated equations over the given intervals (when stat...

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Q: +3 What is the antiderivative of A + C B x3 (2x%6 +9) + C B © 9x2 + 2x3 + C 5% + 6x/2 + c

A: Given problem:-

Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters

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Q: 5. What term number contains x* in x' + identifying the exponential pattern on the variable x, ident...

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Q: 1. A thermometer reading 180C is brought into a room where the temperature is 700C ; 1 minute la the...

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Q: 1. Each situation relates a quantity and a price. Calculate the two different unit rates associated ...

A: Use unitary method.

Q: 3 2t + 3 h(t) = 6 t2 Find h'(t) *

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Q: A plane flying horizontally at an altitude of 1 mi and a speed of 540 mi/h passes directly over a ra...

A: Solved below

Q: Question 14 (1 point) Find the limit of the infinite sequence. 2, 2, 2, 2, 2,. Enter dne if the limi...

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Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s2 ...

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Q: Given that lim f(x) = - 2 and lim g(x) = 3, find the following limit. X3 X-3 lim [7f(x) + g(x)] X-3 ...

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Q: lim Vx² – 36 X-6 1. 1 lim x² – 4 2. 3. lim v9 – x² X-3

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Q: V3 13) tan 3.

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Q: On which interval does the function f(x) = (x+ 5)/(x-1) discontinuous? О а. [0, 2] O b. [-1,0] Ос. (...

A: Note: As per our company guidelines we are supposed to answer first three questions only. Kindly ask...

Q: 1 (х- 4) (x? +9)?

A: Given: - The rational function is, 1(x-4)3(x2+9)2 To find: - The partial fraction decomposition of t...

Q: Question 1 Let f (x, y, z) = In (1+ x³ + y4 + 25) Find an equation for the tangent plane to the surf...

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Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...

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Q: 1 Describe how the graph of the function g(x) = Vx can be obtained from the basic graph. Then graph ...

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Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating combi...

A: The nth term of the binomial expansion of (a+b)n is given by: Tr+1=Crnan-rbr...(1) Here, to find the...

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A: We to put given value in the function

Q: x-4 The lim,4 Va-2 does not exist. Select one: O True O False

A: