-πl-π" ㅠㅠ Using the technique of substitution with u = • ITT -T, the terms of u as 1 -1 -1- du (a) f=" du S (b) S₁ (c) ㅠ :[₁ π ln π 7 ㅠ dt can be written explicitly in -1 (d) ²7/0 du пи π" du πληπ

Q: Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x) e2x cos(4x) dx is equal…

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Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

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Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: 6 5 4 1 -7-6-5-4-3-2-1, 1 2 3 4 5 6 7 -3. -6 147

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Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

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Q: ³√x²e²²\ Which of the following is the most appropriate technique to use in evaluating O Integration…

A: The given integral is x2e-x.

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

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Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: 10. J xe5x dx A. (5x-1) O A O B B. (5x-1)+c C. 5x + 1 D. 5x-c

A: To find out the integration.

Q: 16 You know that f(x) = g(x) + 6 and that * S™ ƒ f(t) dt = 27. You also know that f(4) = 4 and f(16)…

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Q: Determine the values where the following function is discontinuous x² + x-3 2x +3 f(x) = if x+6…

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Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

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Q: What is the total change of f(x), if ƒ'(x) = 2x − 3x², over the interval [0, 3 -18 -12 -6

A: Given query is to find the total change for the given intererval.

Q: Q1: Sketch the signals A. x(t) x(-1/2) A CL x(2(1+2)) x(−1+1) Ates Ades 0 2 B. 2 x(t) 0 1 x (3t),…

A: Given data:- Part A=   Part B

Q: A can is dripping out water at a rate of r(t) = 12/17 If the can held 50 cm³ of water at time t = 1,…

A: If rt is the rate of dripping out water from a can then volue of water dripping out after t time is…

Q: Find an equation for the graph shown to the right. Type the equation in the form y = A sin (@x) or…

A: Given

Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: Let g(x) = 2 f(u) + 3 where . u= u = with respect to x? ○ 2. f' (u) +3 O (2. f' (u) + 3) (2x + 2)…

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 8+21x² + 10x4 Remember to include a "+ C" if…

A: This question is based on indefinite integral.

Q: df What is the total change of f(x) between x = 0 and x = 2, when dx 2.132 2.101 1.709 1.609 = 2…

A: Given query is to find the total chnage .

Q: Which of the following functions has a horizontal asymptote at y = 2?

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Q: 1. (2xy² + 2y) dx + (2x²y + 2x) dy = 0, 2. + 6x) dx + (In x - 2) dy = 0, x y(1) = 3 y(e) = 1

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Q: A population of 470 bacteria is introduced into a culture and grows in number according to the…

A: Given problem:- A population of 470 bacteria is introduced into a culture and grows in number…

Q: Find the area enclosed by the curves y= ex = and y = x2 -1, between x = 1 and x = - 1

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Q: For y=f(x)=x²-2x+7, find dy and Ay, given x=4 and Ax= -0.2. dy=(Type (Type an integer or a decimal.)

A: Use formula and put value

Q: d dx [x² tan x]

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Q: x²-100 4. lim x-10 x+10

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Q: Q4/ 1- Evaluate: ffy sinx dy dx

A: According to company rule we can answer only first question and rest can be reposted.

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

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Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: Q2/ Examine the following surface for maximum, minimum, and saddle points 2 = x² + y² + xy + 4x - 4y…

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Q: For the next two exercises, determi Hiverges. 3 Ž. Σ (-1)" √n + √√√n+1 n=1

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Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

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Q: Solve the given differential equation. All solutions should be found. dy x8 - 6y dx X NOTE: Use c…

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Q: Compute A B, where A AB= 0 -2 2 -2 0 2 -4 7 8 -5 -1 2 and B = 8 -2 1 -5 -1 3

A: This question can be solved using the concept of multiplication of matrices.

Q: 2x²+x 2. lim x-0 5x

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: Which point is not a solution to the equation 3x - 4y + z-12=0? a) (-8,-9,0) b) (4,1,4) c) (16,10,4)…

A: The point which donot satisfies the equation will not be a solution .

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

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Q: An open box is to be made from a square piece of cardboard of side 12 inches by cutting out squares…

A: To find the size of squares cut out of the box for maximum volume.

Q: d dx -[x² tan x] d sin x dx 11+ cos x] 1 1 + cos x

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Q: Which of the following gives the area of the region bounded below by y = sin(x), above by y =…

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Q: If w = cos(xyz), compute for 82 w дудz

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Q: If f(x) = 6 sin¯¹(x²), find ƒ'(x). Find ƒ'(0.5).

A: This question is related to differentiation, We will solve it using given using given information.

Q: e. Angle between a and c

A: Here we have to find the angle between two vectors.

Q: 3. Which vector is not normal to the plane x+2y-3z-4=0? a) [2,-3,4] b) [-1,-2,3] c) [2,4,-6] d)…

A: which vector is not normal to the plane

Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).

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Q: Given the graph of a radical function, which statement is correct? 4 3 2 1 4 -3 -2 -10 6 7 -2 -4 OR:…

A: Use graph

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. (Round your answer to six…

A: