Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant. Coordinates        Quadrant P− 3/4,                      II

Q: Use areas to evaluate the integral f(x) = 3x + 9-x on the following intervals. (a) (-3,0] (b) [-3,3]...

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Q: If xy² – y3 = 5, find y'. y' =

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Q: Let f(x, y) = xe*-y and P = (11, 121). Calculate || V fp||. (Express numbers in exact form. Use symb...

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Q: 4. (4x2 - y?)dx - xydy = 0

A: Let's find. 

Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

Q: Sketch a graph of a function f that is continuous on (-0,0) and has the following properties. f'(x) ...

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Q: 3) = + sin (4) r = y(In y- In r+1)

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Q: E. Complete the table Method A Method B Multiply the expressions Apply then find the derivative of m...

A: a) f(x)=(6x-1)(4x+3)Method Af(x)=24x2+18x-4x-3f(x)=24x2+14x-3Differentiate w.r.t xf'(x)=48x+14Method...

Q: Get Part CUlor solu ti om ay 2メy dt 2y?); *=0, y=4

A: The given differential equation is dydx=2xy(3x2-2y2); x=0, y=-1

Q: Let f(x, y, z) = 4xy – z² , x = 2r cos(0), y = cos²(0), z = 5r. Use the Chain Rule to calculate the ...

A: Given : f(x,y,z)=4xy-z2, x=2rcos(theta) y=cos2(theta) ,z=5r.

Q: Considering the following alternating series. E(-1)*+1 V7k + 6 k=1 a) An alternating series can be w...

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Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

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Q: A solid E lies within the cylinder x2 + y2 = 1 below the plane z = 10, and above the paraboloid z = ...

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Q: Find the derivative of each function using implicit differentiation. 10. 3y4 + 7x = x² +y¯3 11. 2x³y...

A: The student has specifically asked for the solution to question(10) only. Hence that question is sol...

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

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Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and pas...

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Q: ERCISE # 3 Ferentiation. 11. 2xy - 3y3x + x²y² – 2 = 0 SIA ITY ON

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Q: Given the function f (x) =V=² +1, z € [0,1] (a) Enter f' (x) x*(x^2+1)^(-1/2) (b) Enter the inverse ...

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Q: Find the interval(s) over which the function 3x^4+16x^3+24x^2-16 is concave up and concave down.

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer round...

A: Use derivative for finding the value .

Q: Evaluate the integral. 3* dx 3* +4 Solution:

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Q: Calculate the partial derivative using implicit differentiation of + = 10 at (x, y, w) = (1,2, 1). %...

A: Given query is to find the derivative of the expression.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.

A: Given

Q: Find the directional derivatives of f(x,y,z) = x² y³ – y³z³ + x* in the direction of r = 2i– k, and ...

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Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

Q: . A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the f...

A: Explanation of the answer is as follows

Q: Using a calculator or computer, sketch the graph of f for k = 1/9, 1/6, 1/3, 1/2, 1, 2, 4. Describe ...

A: Given:     f(x) = e5x - kx    k = 1/9 , 1/6 , 1/3 , 1/2 , 1 , 2 , 4

Q: Solve the initial value problem. dr 2 dr dt? 13 dt = 4, r(3)= 1 It%3D3 r(t) =D

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Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: QuestionCi):- Find Domain Hhe next funchions:- i) Pa): v2-x +** っ2」 2) fex) = log 2x -4) x-4 3) fix)...

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Q: - f(x) = - f(x) = x-2 g(x) = 5 In x - 2* g(x) = 4x' log, x %3D f(x) = 10* · e*

A: Solution of question is written in below steps.

Q: If yex – 6y = 5, find dy/dx. dy dx

A: We have to find the derivative of the given equation.

Q: INATU 12. + 4y2x = -xy?

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Q: The resulting integral of -sin0 de has the form sin 2 2 cos +C. What should be the value of 0 to mak...

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Q: For a Taylor series to exist and give the exact value of f (x), which of the following must be true?...

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Q: Find an equation of the tangent plane to the surface at the given point. 4x2 + 2y? + 4z? = 22, P = (...

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Q: f(1) = 7+2 on (-1,4] a. %3D 1² + 2

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Q: An irigation system uses a straight sprinkler piper 300 t long that pivots around a central point as...

A: We can find the area as below.

Q: A hypothetical square grows at a rate of 8 m^2/min. How fast are the diagonals of the square increas...

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Q: Let h(x, y) = , x = 8t t2, y = 7tt2. %3D Use the Chain Rule to calculate the partial derivative. (Us...

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Q: QuestionC):- Find Domain the next funclions:- 2) fex) = log 2x-4) x-4 3) fix)= ln Cxa) + u) frn)- 1-...

A: We have to find the domain of the given functions.  

Q: The winner of a "million dollar" lottery is to receive $50,000 plus $50,000 at the end of each year ...

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Q: Use the root test to determine whether the series converges. If the test is inconclusive, then say s...

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Q: SOLVE: 100е0.001t p(t) 9 + e0.001t Where t=50 PLEASE SHOW ALL WORKINGS

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Q: A man is disabled in an accident and wants to receive an insurance payment that will provide him wit...

A: Given query is to find the amount accumulated.

Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v) ...

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

Q: 8. k! k k=1

A: given series ∑k=1∞ k!k3

Q: Find the limits. f(x) = 2x2 - 3x + 16, g(x) = x+ 2 %3D (a) lim f(x) = X-3 (b) lim g(x) = X-25 (c) li...

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Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: B. Solve the following problems: 1. Find the equation of the tangent line to the the curve y = 3x² –...

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