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Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,   ...

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: Question 3 The exponential distribution is a probability distribution that describes the time needed...

A: Given: p(x)=Ce-x11x≥00x<0To find the value of constant  C:

Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Correct Suppose that y varies directly as the square root fx, and that y = 42 when x = 400. What is ...

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Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 12,500 – 325p...

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Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. 1(x,y) = - 2x? + 7xy ...

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Q: Evaluate the following integral. 1/4 | tan?x dx 1/4 tan x dx = (Type an exact answer in terms of T.)

A: Explained below 

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

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Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

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Q: Determine the limit of the sequence or state that the sequence diverges. 2 +n - 4n2 9n2 + 9 an = (Us...

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Simplify: 1 2 3 3 2 + 2 1 1 2 2 2 3 4 5 6.

A: We will simplify the given operation of matrix in the following step.

Q: Identify

A: We will solve the integration. 

Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that t...

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Q: Find the critical points of the following. 1. g(w)=2w3−7w2−3w−2

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: h(x)=fgx and px=gfx

Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: Find the inverse of the function f (x) = x-1 2x+3

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Q: Find the numerical value of a) sinh Cen 4) b) sinh (1

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Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

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Q: Find all points (x.y), where f(x.y) has a possible relative maximum or minimum. Then use the second-...

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Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: Find the derivative of the following function. у -6 h(y) = 4Vy - 7 The derivative of h(y)= y-6 is 4 ...

A: Find the derivative of h(y).  Differentiate h with respect to y. 

Q: Find all points (x.y) where f(x,y) has a possible relative maximum or minimum. 10x.y) = x² - 5xy + 6...

A: f(x,y)=x2-5xy+6y2+3x-9y+8consider fx=0⇒2x-5y+3=0⇒2x-5y=-3consider fy=0⇒12y-5x-9=0⇒5x-12y=-9 Solve th...

Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name th...

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of ...

Q: 1. y" + 4y = 4 cos x + 3 sin x – 8 %3D -

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

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: dy dr of the function given implicitly: Find 3ry + 6e" = 6e. Evaluate the second derivative at the p...

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Q: Find the derivative of fcx) = en (sinh Cx)) 5

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Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

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Q: 5. y = Je' dt %3D

A: Solution: 5. y=∫0x2et3dt

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: By direct differentiation, find f(x] where f(x)= lalact!)

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Q: If z = x sin y + y sin x a2z then дхду

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Q: 14. Eväluate the following imits. 3x2+2x+1 lim x3+3x+2 c)

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

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the o...

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Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

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