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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
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A: We need to solve D.E.
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A: To determine the derivative of inverse function
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Q: EXAMPLE 9 Find the Maclaurin series for the function f(x) and its radius of convergence. 1 4- X…
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Q: The Cartesian coordinates of a point are given. (a) (6, -6) (b) (i) Find polar coordinates (r, 0) of…
A: Given cartesian coordinates are (a) (6,-6)(b) (-1,3)
Q: 10) Determine the integrating factor of the differential equation (y tan(z)-e)dz + dy=0 a) ecos(x)…
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Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)
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A: 16) The given equation is; Sinx - Cosy - 2= 0
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Q: Volume generated by x² = 4y, y = 0, x = 4 and rotated with respect to the y axis.
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Q: 6. f(x)=x+√1-x (1) Find the intervals on which f(x) is increasing or decreasing (2) Find the local…
A: first derivative
Q: The position of an object at time t is given by the parametric x=5t²+2t y=2t² +4 equations Find the…
A: Please see the below picture for detailed solution.
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A: Given query is to find the area bounded by the chrv
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Q: 8²ƒ f(x, y) = x¯¹ sin(x² * y), prove that equal: — x³ sin(x²y) дуг
A: We are prove the given
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A: The area between curves is the area between a curve f(x) and a curve g(x) on an interval [a, b]…
Q: Integrate tan x from x = 0 to x = 1.32, then round your answer to the nearest thousandth (3 decimal…
A: We have to integrate tan x from x=0 to x=1.32.
Q: 4. Find an equation of the tangent plane to the surface z = xy+8 xy-2x at the point (1,1,–10)
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Q: If y = ln(lnx) then x = ety O Y eey ?
A: Given query is to find the value of x.
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A:
Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…
A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy
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A: Given V = kr4where V = volume of fluid flow k = constant r = radius
Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C
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Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…
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Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =
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Q: Find the radius of convergence, R, of the series. R = 1 n=1 2n - 1 Find the interval, I, of…
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Q: Use implicit differentiation to find the slope of the tangent line to the curve 3x³y + 7xy² = = 198…
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Q: Find the radius of convergence R of the series. Σ 2n (x + 5)^ √n n=1 1/1/213 Find the interval of…
A: Given radius of convergent = 1/2
Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h
A: Given query is to perform indicated operation m
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A: use separtion of variable and integral
Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…
A: We will find the required
Q: Evaluate the integral: 36 x = 6 sin(0) Ox = 6 sec (0) - 15x2 T2 da (A) Which trig substitution is…
A: Given integral:- ∫36-x215x2dx
Q: 18) Suppose P'(x) = 5ex - 6x³+ 4x and P(0) = -9. Find P(x).
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Q: For the given cost function C(x) = 52900 + 800x + x² find: a) The cost at the production level 2000…
A: Given, Cost function C(x)=52900+800x+x2
Q: convergent serie 12) Find the sum of each 2 A) / + = + ( ² ) ² + ( ² ) ³ + ( ²1 ) 4 + ... ( - )^² +…
A: Let's find sum of given series.
Q: Solve the following rational equation for x: x 4 + x+3 x² + 2x-3 1 x-1
A: INTRODUCTION A rational equation is one that has at least one fraction with polynomials as the…
Q: Graphs of implicit equations between and True X do not necessarily represent functions. O False Y
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Q: The function f is a continuous function with the following characteristics: f'(x) 0 on the interval…
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Q: The second derivative OF a certain function is 4X, the equation of the curve if its slope is -3/4…
A: To find the equation of the curve with the given characteristics
Q: Given f(1) = 7, f'(1) = 5, if g(x) = ef(x) then g′(1) = (Give an exact answer)
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Q: The rational function 310t V(t)= t + 2 models the velocity, V(t), in miles per hour, of a dragster t…
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Q: Which of the following graphs show a removable discontinuity? (Select all that apply) U e
A: Please see the below answer.
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Q: Given f(x) = 13x³ + 18x² - 4x + 22
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Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…
A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…
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