True or False: To evaluate the integral [sin we save one sine factor and use sin’ x cos xdx, 6 sin²x = 1 - cos²x to express the remaining in terms of cosine. Select one: True O False

Q: Considering the integral below. Rewrite this same integral, reversing the order of integration. What…

A: Follow the procedure given below.

Q: An integrating factor of the linear differential equation is μ(x) = ex Select one: O True O False y'…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find the particular solution of the differential equation that satisfies the initial condition(s…

A: Given that f''x=sinx , f'0=9 , f0=15Solution :f''x=sinxintegrate both…

Q: I dx x√x² - 64

A: we will solve integration by substitution.

Q: What is the average rate of change of the function f(t) = t² - 7t between t = -5 and t = -4? -16 -14…

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Q: If u = (0, 2, 3) and v = (1, 3, -1), find the projection of u onto v. 이름다 a) Obl 이유ㅎ ○ c) (1, 1, -1)…

A: This question can be solved using the concept of vector projection of a vector on other vector.

Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If f" (x) = x(x + 1)(x - 2)2, then the graph of f has inflection points when a =? -1 and 2 only -1…

A: Given that f''(x)=xx+1x-22

Q: The vector a in 3-space of length 3 lying in the yz-plane pointing upward at an angle of 5π/6…

A: let w= aiÌ‚ + bjÌ‚ + ckÌ‚   |w|= a2 + b2 + c2 = 1   W is lying in YZ plane and at an angle of 5π/6…

Q: If f is a differentiable function and such that and g (x) =x^2 f(x) such that f(3) = -7 f'(3) = 2,…

A: This question can be solved using the concept of product rule of differentiation.

Q: If 2 cos 2t = 1/5 then sin² t = Select one: O True O False 13 30

A: We can find the answer as below.

Q: Given a continuous function of which is twice differentiable, if f" (c) > 0, which of the following…

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Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

Q: r(t) = ti + (2tt2) intersect the paraboloid (2) At what points does the curve r(t) z = x² + y²?

A: We are asked to find the intersection point.

Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: Question 18 Which of the following functions is not continuous on the interval [0, 3 f(x) = ²³16 Oh…

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Q: ate ſ- dx 4x²+1

A:

Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: 1 0.101 1 X Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we want to…

Q: f(x)=(1+ 4x)1/5; (0.94)1/5

A: We have to find the value of function at point x =.94

Q: π S xsin xdx

A:

Q: Given that lim f(x) = -7 and lim g(x) = 6, find the following limit. X-3 X-3 lim X-3 2-f(x) x+ g(x)…

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Q: A.)Find the first five partial sums of the given two series and determine whether they appear to be…

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Q: A farmer buys a new tractor for $145,000 and assumes that it will have a trade-in value of $86,000…

A: We need to solve linear equation model question.

Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

A:

Q: The linear system whose augmented matrix is is Select one: O consistent with the trivial (zero)…

A: Solution is given below:

Q: 3. Evaluate tan¹x² 1+x dx.

A:

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: This question is based on vertical and horizontal asymptote.

Q: Complete detailed solution. What is the equation of the tangent line at x=1 of f(x)=1-2x

A:

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: c) I following 1. Determine whether the integral is convergent or not. 10 [." : 6 dx x-6 Vx

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Q: Evaluate the following integral: sin²(a) da

A:

Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A: Given: Volume of right circular cone is V= πr2h3 and dVdt=30 cubic feet per minute To find: dhdt

Q: π/2 √1-cos2xdx

A:

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

A:

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 90,000+800x. (A) Find the…

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Q: A spherical rubber balloon is inflated with air. The volume of the spherical balloon of radius r…

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Q: 29. y = 6 sec 3z a. 18 sec 3z tan 3z b. 12 sec 3z tan 3z C. 6 sec 3z tan 3r d. sec 3z tan 3z

A: The answer is given below:

Q: Find the total area of the shaded region. Ay 24- 22 20 18 16 14 12 10 8 Q C The total area of the…

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Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is: x=-3-t,…

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Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: f(x)=1/(1-4x); 1.07-1

A:

Q: Find the outward flux of the field F = 2xyi + 8yzj + 6xzk across the surface of the cube cut from…

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Q: Given the graph below, what is the lim f(x)? x-1+ +8 02 1 -10 -5 does not exist 10 -5- -5- -10 10

A: Using the concept of right hand limit

Q: In the graph to the right, the equation of the parabola is x = the area of the shaded region in the…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Let y= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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Q: T S. 12 sin² (u)du

A: