A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is required to pull the cable to the top of the building?

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: The edge of a cube is changing at the rate of 0.2 cm/sec. How fast is the volume of a cube changing…

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Q: За. й —; й —

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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Q: 1 a. f(x)3D 4 b. g(x) = - X c. h(x) = 3 -

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Q: Determine whether (-±) is part of the unit circle or not.

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = , (1, 7, 7) 10 z…

A: We have to find equation of tangent plane

Q: V3 - 2s ds 02 40

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. Given f(x)=x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

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Q: J6x²e?x^3+1 dx = 3e?x^3+1 + C Select one: O True O False

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Q: B and C

A: Topic:- application of derivatives

Q: Find the slope of the graph of f(x) at the point where the graph crosses the r-axis. pe = Find the…

A: Topic:- application of derivatives

Q: Write an equivalent exponential equation. 2 log 8 4= 2 /3

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Q: Find the x values of all the horizontal tangents to the function f(x) = cos.x + /3 sinx on the…

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Q: Sie cos e sin 20 de t/3 T/6

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Q: Suppose that fis continuous and that / f(x)dr=4 and / s(x) dr=7, Find / 45 (x) dx A 20 B 28 16 12

A: using property∫acf(x) dx=∫abf(x) dx + ∫bcf(x) dx∫-33f(x)dx +∫36f(x)dx=∫-36f(x) dx4 + ∫36f(x)dx…

Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40)…

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Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

Q: %3D What is the slope of the function y = 3x² + 5x – 7 at (-1,-

A: Given query is to find the slope of the function.

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

Q: What is the reference angle of O if 0= -137°? A 43° B 47° C 137° D 223°

A: Given query is to find references angle.

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: Consider the function y = 5cos(x). What are the exact values of C in the interval [0, 2pi] such that…

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Q: 4. V40-4v-v dv

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Q: Answer

A: As per policy, only first question is answered.  Please refer to the image below

Q: Give the augmented matrix for the following system of linear equations. -3x1+10x2-6x3-4x4+8x5 = -4…

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Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: Find the most general antiderivative or indefinite integral. csc 30 de csc 30 - sin 30

A: The objective is to evaluate the integral.

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

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Q: Activity Test your understanding. Write TRUE on the space provided if the statement is correct and…

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Q: Find all the complex fourth roots in rectangular form of w = 100 cos 57 - + i sin Zo (Type your…

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Q: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: lim f(x) = c lim f(x) = 00 lim f(x) = 0+ lim f(x) = 0- x-1+ X-1- f(0) = 0,f(-1) = -f(-2) = -

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Q: The integral of the given function f x2 dx is (9-x2)2

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Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

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Q: Evaluate ſV7– x²dx

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Q: Answer the following True or False. dt sec 't |', \_ 1 = 27. |t|VE2 - 1 O True O False

A: sec-11=0 and sec-1(-1)=π

Q: Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by…

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Q: 11m Convert to its degree measure. 6.

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Q: funchoN f whose second derivative is f ")= 5x+2sin(x If fo 3 and fro)= 3. what is fe?

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Q: 4. Given f(x) = x +-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: Find your answer below

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Let f(5) = 6 and f' (x) <8 for all z between 5 and 16. Use the Mean Value Theorem to find the…

A: Mean Value theorem: If f(x) is a function that satisfies the followings.      (i) f(x)  is…

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

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