b. Stan ³0 sec²0 do

Q: (B): If A = 2i + 3j-4k; B = 3i-4j+ 5k and C = i + j-k, find: (iv) (3A + 4B). C (1) A.B (U) B.C (iii)…

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Q: Find the sum of the series. 5(-1)^²n +1 Σ 62n + 1(2n + 1)! n = 0 62n +

A: The sum is evaluated below.

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

A:

Q: Suppose S. f(x) dx = 36, [₁² f(x)dx = 12, ²9(1 1. (2f(x) + +12g(x) — 4h(x)) dr g(x)dx = 24, and h(x)…

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Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Solve the initial value problem y" + 4y + 4y = 0, y(-1) = 5, y'(−1) = 6. y(t) = =

A: The given initial value problem is y''+4y'+4y=0,  y(-1)=5, y'(-1)=6

Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

A:

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the tabulated values off to evaluate the left and right Riemann sums for n = 10 over the…

A:

Q: A. B. Evaluate the following integrals using substitution method: (³-1) ²/3 √2 5.² 0 √r sin (1 + x²)…

A:

Q: 013 Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given…

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Q: What is 2x2

A: We can answer the question as below.

Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x 2…

A:

Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3

Q: Use the graph below to answer the following questions. f(c) -6 -4 5 14- 12 10- 8 6- 4 2- 2 -4- -6-…

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Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

A:

Q: Find the instantaneous rate of change for the function at the given value. g(t) = 2-1² at t= -6 The…

A:

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A:

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Sol:- To find the maximum concentration:-

Q: 2 √(√sinx + cosx)² dx

A:

Q: 1 3 (a) √ 2²³ + + + √²+2rdz [: x° 2x dx X (ln(x))² (b) / X dx

A:

Q: 4 (A): If A = 2 -2 Find AB and AC. 2 01 1 -1 0; 1 2 B = 2 -1 3 1 -2 -2 and 2 1 3 C = 0 1-31 6 1 2 -1…

A:

Q: find the area of the triangel with verticies A=(0,0,0) B=(2,1,1) C=(3,1,2) round to 2…

A: This question can be solved using the concept of area of triangle using vectors.

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

A:

Q: S 2 (2 x ² + 1 ) 1²/1 2 dx

A:

Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

A:

Q: Evaluate the indefinite integral. √2² √11 + x³dr

A:

Q: Q2: Solve the following in 7x²+14x+15 (1) f dx ; (x²+3)(x+7)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y"…

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Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

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Q: lim f(x) = 5 and_lim_f(x)=5, but f(3) does not exist. X-3 X-3* What can you say about lim f(x)? X-3…

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Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

A:

Q: Find the critical points of the given function. a) f(x) = 2/3+¹/3+x−2/3

A: Since multiple questions are asked, I am answering first question

Q: Given that ſ♫ sin xdx = 2, find the average value of the sine function on the interval [0, π]. Also,…

A: Please see the below picture for detailed solution .

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: Q4: Answer two only: 4 2 2 1 -2 -1 1 Find AB and AC. (A): If A = 0; 2 3 1 B= 2 -2 -2 and -1 2 1 3 C…

A:

Q: Problem 8. [10 pts] For each of the following answer True or False. If it is false, explain it. (a)…

A: