12. -s-7 (s+1)(S-2)

Q: Given: (1 + 2x) e-* dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the…

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Q: 7 4x + 10 Let f(x) This function has: 1) A horizontal asymptote at y = 2) A vertical asymptote at x…

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Q: x²+x+1 Sa 2x²+2+x³+x² (A (B (D) -b dx dx = [Aƒ (x) – B ln(g(x)]å + D ſb da , and if A = ‚B < 0, then…

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Q: Sπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: 3. Using trigonometric substitution, what is 1 sec-²¹ ( 137 ) + √x²-9 2x² + C A. 1 300² (2) √²-90…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We need to find domain and value of r(t).

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: C. y = 5x² + 2, x=0, x=2, y = 0

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Q: a) Find Maclaurin series generated by the following function f(x) = e-3x by Test the following…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Given the price-supply function p = S(x) = 10(e0.02x - 1), find the average price (in dollars) over…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 8 Given: (В © √³x³sin(2x)dx= F4 5T 6 21 Зд TL 277²-24 64 T Find bif sb st

A: Solution is given below:

Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).

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Q: Question 7 10 -8 -6 -4 -2 8 10 -2- -4 -6 -8 -10 Write an equation for the graph, where y depends on…

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Q: Compute the quadratic form x Ax for A= Xx₁ 12 - a. x = b. x= 1 X2 a. x¹Ax= 3 2 [1] 10 C. X = and…

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Q: Given: (1 + 2x) e-x dx. Using integration by parts and letting u = -1-2x, dv = f(x)dx, then the…

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. (x - 1+1/2/3 1. lim x-1 2x²…

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Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

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Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: Determine whether the sequence a₁ = find the limit. Show All Your Work! 1+9n² 1+n² converges or…

A: To determine whether the given sequence converges or diverges.

Q: Describe the graph of the equation. r = (4 - 3t)i - 7tj O It is a plane in 2-space that goes through…

A: Given equationr=(4-3t)i-7tj

Q: Y 4- y = f'(x) 3 -3 -1 (1,0) 2 3 -4 (-3,0) W (0,-0.5) (2,-0.5) (3,-2) -1,-2) -3- (-1,-3) (4, -3) 2 I

A: Observe the graph and answer the question.  Concept:  h'(x) = 0  : h(x) has local maxima Or minima…

Q: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

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Q: (A) = and B = . Find the vector projection of A D onto 2A - BO O O none of the above

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Q: Find F'(x). 1. F(x) = √x+² (4t + 1)dt 2. F(x) = f*t³dt SOLUTION IN HANDWRITTEN

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Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: y"+6y' +8y=10e-³x ;

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: 6x5-25x+8x3+43x²-8x-12 4. Find (3x+-11x² +9x²-11x+6) (9x²+12x+16) -dx if this can be reduced to 63…

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Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

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Q: Solve 4t² +8t+4= 0 by using the square root method. Hint: complete the square first! Enter each…

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Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given that : x= etcost and y=etsint and z= et for t=0.     Here i attached the solution of this…

Q: value(s) of x where the tangent line is horizontal for the function f(x) = x²(x – 5)³. tiple answers…

A: Topic:- application of derivatives

Q: el3-6-2, if x ≤2 if 2 3 Find f'(2), if it exists.

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Q: 61. det t sectdt d 62. du Jo Ix/dx 0 px [Hint: Use Definition 5.5.3(b).]

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. f(x) =…

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Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

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Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

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Q: The annual revenue and cost functions for a manufacturer of cat toys are approximately R(x) = 540x…

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Q: Please solve the problem with complete solution. Thank you

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Q: 1. Evaluate the following limits. Using L'Hôpital's Rule is not allowed 3. lim (x-3) tan(9-x²)…

A: We will calculate the limits by Limits rule

Q: (A) = and (B) = . Find 2A - BO* none of the above

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

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Q: trigonometric substitution, what is f √x²-9 x3 sec ¹(-₁)-² + C √x²_9 2x² sec 6 ¹(-)- √x²_9 2.x² + C…

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Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.