Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v make with the positive ||u || = 1, e = 45° |u + v|| = V2, 0 = 90° V =

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square r...

A: Given problem:- What is the surface area generated by revolving the parabola y = x2 from x = 0 to x ...

Q: f(x) = ex, a = 1 f and T, on the same screen. y y 3 -1 -1 1 -4 -3 1 y

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Q: s. Evalnate.the following.deuble.integrals.by.converting.bo polar.Coa.r.dinates. C.. Ans: 3.6.

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Q: 1. 8e* sin(4x)dx TC

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Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: Question 1 A puck of soap makes a perfect cylinder It is submerged in water and begins to dissolve, ...

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Q: Using Logarithmic Differentiation, find given that dx dy -3 sec-(VT) y = 4* (log, x)sech x

A: This question can be solved using properties of logarithm.

Q: 9. Use the following graph to find the coordinates of the point where the lines y =-2x+6 and y = 3x+...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: dx

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Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the ...

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: 5. Graph the linear inequality on the graph. x<-4

A: Given data÷

Q: Determine any planes that are parallel or identical. (Select all that apply.) O P1: -120x + 60y + 90...

A: We need to find planes that are parallel.

Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) F(t) = 4t3 %3D L{f(t)} %3...

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Q: If the Reference angle was e: What are the angle in the 4 quadrants.

A: I am attaching image so that you understand each and every step.

Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

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Q: 1 dx csc³(5x)

A: This question is based on indefinite integral.

Q: Please do 1 and 7

A: Topic:- geometry   

Q: xy = 4, y = x,y = 1; about the x-axis.

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Q: 14. What is height of the isosceles triangle with the greatest area that can be inscribed in a circl...

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Q: 6. |x²e-2*dx

A: Solved below

Q: In the process of solving the differential equation g" – 5x'y = cos(5x), x > 0, - which of the follo...

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Q: Suppose that f(0) = -5 and f'(x) < 4 for all values of x. Use the Mean Value Theorem to determine ho...

A: Question- Suppose that f(0) = - 5 and f'(x)&lt;=4 for all values of x. Use the Mean Value Theorem to...

Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 1² and above the x-axis on the...

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line

Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: Solve each system of equation using matrices (row operations). If the system has no solution, say th...

A: We have to solve system of equation using matrices (row operations).

Q: piane :x = 3 - t, 2:x = 8+ 2 s, y y = 5+ 3t, = -6- 4s, z = 5+s z = -1-4t %3D

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Q: 2. If f(x) is continuous in a closed interval I, then f(x) has at least one absolute maximum and one...

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Q: For the demand function Qd= a- bP and the supply function Qs=dP-c, using Cramer's rule, determine th...

A: To determine the equilibrium proce and equilibrium quantity.

Q: Let f(x, y) = xy – y + cos x. af Find (a) fe dy and (c) the mixed partial fæy. (b) O (a) xy - y (b) ...

A: Find your answer below 

Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: of the initial value problem gcナー Please fill in a question quickly within a quarter of

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Q: Determine whether each of the fo for convergence/divergence. (a) n +1

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

Q: Approximate the sum of the series correct to within 0.00001. (-1)" (3n)! n = 1

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Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify...

A: Use tangent plane formula

Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume t...

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Q: Evaluate the following series two ways: 4 4 3k k=1 3k+1 (a) Using a telescoping series argument. (b)...

A: Given that ∑k=1∞ 43k-43k+1a.431-432+432-433+433-434+434-435+......+43k-43k+1=431-43k+1=431-43∞+1=43

Q: Given the graph of a function f (x). Find f (c) and lim f(x) where c are as follow: 20 15 f(c) lim f...

A: Graph of the function is given, we have to find the required limit values

Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given...

Q: 9. 10 Find the rate at which average revenue is changing when An accessories company finds that the ...

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Q: Determine the equation of the plane that contains the lines L1 and L2. z = -1-4t y = 5+ 3t, L2: x = ...

A: The lines are on the plane therefore the lines will be parallel to the plane.

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radi...

A: The objectives to find the angle between the vectors in radians and degrees.

Q: 2. 2x Vx-2 dx

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

Q: 4. Use transformations of y= x* or y=x to graph cach function. (a) S(x)=(x+3)' (b) f (x) = (x-1)* - ...

A: a)y=x5Horizontal shift by 3 units towards leftf(x)=(x+3)5 The graph is shown below:

Q: 1 Which of the following functions, whose domain and b) codomain are the real numbers, are one-to-on...

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Q: 1. Let f (x) = x (cos(2a)+ sin(3x)). a. Find the average value of f (x) for 0 <x < T. Show your work...

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Q: Find the limit of the sequence an = In(9n +7) – In n. If the limit does not exist, type "Diverges" o...

A: Solution: