4.x 2x 7e lim 1- e4x

Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

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Q: Convert the Cartesian coordinates (1, 0) to polar coordinates. (1, 0°) (1, 90°) (0, 0°)

A: The cartesian coordinate is  x, y = 1, 0 To evaluate: The polar coordinate corresponding to the…

Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

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Q: Consider the following piecewise function: 3x + 6A ЗАх — 7В if — 3 < x < 3 х — 12B if x < -3 9(x):…

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Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

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Q: Find the exponential function y = Cekt that passes through the two given points. y (0, 7) 5 4 3 2-…

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Q: Compute the derivative of each function. (4x + 1)²] cot (5x) f(x) = ln

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Find the Volumes for the fallowing sollids whose theishts are de fined by ZCXyy) and bases are the…

A: Double integral

Q: S Integrate the falloing funclinne the given kesinms aver R: y=4x-x and y =X

A: Area

Q: 开3 Estimate the area under the graph of f(x)= 3x 3. between x= 0 and x =1 using each finite…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: b) - 1 Use polar coordinates to evaluate the double integral || (4x2 +4y²) dA R where R is the…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: Find the area (in square units) of the region under the graph of the fu f(x) = 2x + 8 %3D square…

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: lim -1 x→0+

A: Separate the limit.

Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: dx Vx²+2x+5

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

A: Given region R=( x,y) : 0≤x, 0≤y , x2+y2≤4

Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: y3 x³ – 4x – 1 = 0 3 Consider the implicit curve dy/dx and use this to explain why dy/dx is always…

A: SOLUTION GIVEN BELOW

Q: - CoS I 2. Find the indefinite integral / sin 2x e A 2e-sinz (sinI+1) + const B 2e-sin (sin I – 1) +…

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Q: 2. sin° (x) cos° (x) dx

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Q: Determine the points at which the limacon defined by the polar equation r= 3 +2 sin e Has horizontal…

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Q: A clothing manufacturer has the marginal profit function MP(x) = 40 - 0.02x, Os xs 100 (in dollars…

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Q: e* dx ex 11

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

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Q: A.) In each of the following, find the area bounded by the given curves; Solve for the points of…

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Q: x'+8 if x + 2 The function f given by f(x) = is continuos at x = -2 x+2 -12 if x = 2

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Q: Find the centroid of the region R bounded by the graphs of y x and y 1. 1) Which of the following…

A: To find the area of the region R.

Q: (y-3)/(x+1) dy =y*dx is a separable differential equation. %3D Select one: O True O False

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) dy = 5 - y…

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Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

Q: 5 Evaluate the integral 2x cos(xy)dydx 4 0.

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: Convert the polar coordinates (2, 60) to Cartesian coordinates. (1, √3) (√2, √2) (√3, 1)

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Q: (x² -2x9 dy Solve The firest orler oDe

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Q: Question 4 of 10 Find the volume of the solid that results when the shaded region is revolved about…

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Q: Let C be a curve that is defined by x = 4 sin t and y = cos t, t e [0, 27). Determine (a) the time…

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Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: onsider the polar curves C1 :r = 1+ cos 0 and C2 : r = 2 cos 0, and let R b

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