12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

Q: For each of the questions below, indicate if the statement is true (T) or false (F). (a) Any…

A: Note:- according to the company policy we can do only 3 subparts of a question so please upload the…

Q: TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

A: We have to evaluate the given integral.

Q: Tutorial Exercise Calculate two iterations of Newton's Method to approximate a zero of the function…

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Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

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Q: Problem 2. Find an equation for the tangent line to the curve y = 2x² + x3 at x = 4. You must use…

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Q: B. Find the area bounded by the given curves Show the graph (you can use any graphing software,…

A: A detailed solution is given below.

Q: The function f(x) = √√x-2 + √√4-x is. increasing on its natural domain O increasing on (2, 3) and…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

Q: Find the arclength of r(t)= on the interval from t equals zero tot equals 2 times pi.

A: Given:  r(t)=<5cot(t), 3 sin(t), 4 sin(t)>To find:  Arc length form t=0 to t=2π

Q: Q3/ solve the differential equation below: 1. 2-3x+2y=0 (Complementary Function) k

A: The given differential equation,       d2ydx2-3dydx+2y=0

Q: (a) Find if x² + y² + xy =1 dy dx (b) Identify the nature of the stationary points of y=4x³ - 21x²…

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Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

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Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: Let z=f(x,y) = 20x² - 25xy + 16y². Find the following using the formal definition of the partial…

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Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of fat x…

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Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy²= 2 (C- cos x) O y…

A: This question is related to differential equations, we will solve it using given information.

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

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Q: Q3/ solve the differential equation below: 1. ²-3x+2y=0 (Complementary Function)

A: topic- differential equations

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: see below the answer with explanation

Q: 7. Evaluate the integral

A: answer is in next step.

Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: its not 1

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Q: anchor 1, anchor 2 One of the guy-wires forms an angle of a = 0.3 radians with the antenna and the…

A: Let's solve part d and e.

Q: Y = cos x, y = eª, x = = 0, and x = π 2

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Q: Q1/Without using L'Hopital rule, find the following limit. +². lim

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Let's find value of given function.

Q: Find fx (x,y) and fy(x,y). Then, find fx(1, -2) and fy (-3,3). 4 f(x,y) = -2xy +9y² + 10 fx(x,y)=

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Q: 1. [(5x (5x - 3)100 dx 2. (x - 3)¹/4 dx 5 3. 3. / ( x ² + ² ) ( ²2 2²³ + x) ² da 2) dx

A: 1) Given ∫5x-3100 dx Substitute   u=5x-3                  du=5 dx    ⇒ dx=du5 ∫5x-3100 dx = 15∫u100…

Q: (B): Find the integration by using substitution method √x√2x - 1 dx

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Q: The sum of two positive real numbers x and y is 12. Find an x and y among these such that the…

A: The sum of two positive real numbers x and y is 12.

Q: Find the derivative of the trigonometric function. Use the chain rule. f(t) = 5 sec9(pi(t) − 4)

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Q: 7. A 25 kg mass is suspended from a ceiling by two cords. The cords make angles of 45° and 70° with…

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Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.

Q: Problem 1: A force of 500 dynes stretches a spring from its natural length of 20 cm to a length of…

A: Concept: Work done by integration: W=∫x=abf(x)dx Where W represents work Force is represented as a…

Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

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Q: 4a) S 3x+7 (8+6x-9x²) 3/2 -dx 4b) S 2x²-11x-1 (x+3)(x² +1) -dx

A: ∫un du =un+1n+1+C ∫sec2(u) du = tan(u) +C Note : As per our guidelines ,we can solve first question.…

Q: The position function of a spaceship is r(t) = (5 + t)i + (2 + In(t))j + + (7 - 2 + ₁ ) k and the…

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Q: 4. If u = xy + y²z³, where x = rset, y = rs²e when r = 2, s = 1,t = 0.

A: We have to find solution

Q: - 3x Find the derivative of y with respect to x if y = e

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Q: (1+x)(1+ry Q14) 2x (1+x) dx - A) +C B 11 10 11 10 Q15) f f(x)=x+cosx, xe [0, ], then the function…

A: Note:- As per your demand we solve question 14 and 15 for you  Given problems:-

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

Q: items 12-15, consider the region bounded by the curve y = cosx and the x-axis, where 0 ≤ x ≤ What is…

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Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

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Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False…

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Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

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Q: Q1/ Without using L'Hopital rule, find the following limit. x²-x-2 lim 4x²+4x

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