Which of the following is the limit of f(x)= 1-5x as x appro qchers 1 a. - 2 d. does not exist

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

Q: Draw the graph of g(z) Make sure to start at one of the endpoints, not the middle point. After finis...

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Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: Solve the first order differential equation. (x3 + y4) dx + 8y3xdy = 0, when x = 4, y = 1/2

A: Explanation of the answer is as follows

Q: 1.Find f'(x) using the limit definition of f'(x)= lim (x+h)- f(x) for the following function: f(x) =...

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e + 3, y = 0, x = 0, z = ...

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Q: Exercise 3.1. Find the derivative of the following functions: y = tan 2x 2. g(x) = xsin x – 5 cos x ...

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Q: 52. 0 = 6. 54. 0 = 12.9

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Q: Evaluate the definite integral. 4. 2x/x3 + 1 dx

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Q: Which of the following are rational functions? Select all that apply. Of(2) = = Of(t) : %3D x +7 Of(...

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: 1. Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtain...

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Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t2, y = 4t, 0sts1 N...

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Q: *The limit of a function Evaluate the given limits numerically (using table of values) and graphical...

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Q: 1 If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperatu...

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... than...

Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each t...

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Q: Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to ...

A: The given function f(x)=arc sin(2x) at the point 24,π4

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: Differential Operator General Solution DN AxN-1 + BxN-2 +..+C (D - a)N AxN-leax + BxN-2eax + ... (D?...

A: differential equations

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: Given function,f(x)=9x3+10x+6 between -1 and 0Therefore ,f(-1)=9(-1)3+10(-1)+6f(-1)=9(-1)-10+6f(-1)=...

Q: 2. Find the volume of a cylinder with a radius of r and height h by integration.

A: Radius : r Hight : h

Q: Evaluate the expression using the order of operations. (22 - 9+ 3) - (42+3•5) (22 -9 + 3) - (42 +3•5...

A: We know that BODMASThat is Bracket-Division-Multiplication-Addition-Subtraction.Given (22-9÷3)-(42÷3...

Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: The equation f(x) = e^x – 3x^2 has roots in [3, 5]. Using 5 iterations, find this root using the Bis...

A: fx=ex-3x2a1, b1=3,5------------------------------Percentage true error : True value-Estimated valueT...

Q: For items 25 - 30, consider the frequency distribution of the Age of Employees of MTF Inc. Complete ...

A: We need to solve questions from 25 to 27.

Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: S In Vxdx

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. 1 arccos x y =...

A: The given function y=12arccos x at the point -22,3π8

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: Let a be a positive constant. (a) Find a formula for the nth derivative of f(x) = eax. (b) Find a fo...

A: We have to find nth derivative.

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=18x5+5x3; a=-9

Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: How many ounces are in 4 pints?

A: Use the basic of ounces 

Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

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Q: derivative

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 4x ...

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Q: (x)

A: We will find the correct answer. 

Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: Determine the convergence of the following series

A: let ∑an n=1∞ be an seriesconvergence of the series can be detremined the ratio test.iflimn→∞an+1an &...

Q: On the domain of [-27,0), for which of the following values of x will sin(-x) = csc(-x)? Choose all ...

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Q: For items 25 - 30, consider the frequency distribution of the Age of Employees of MTF Inc. Complete ...

A: Given:   Data with table is given

Q: Some integrals might seem complicated. But they will simplify significantly if them in the right way...

A: Given that Fθ=∫cos3θ+sin2θ-3cosθsin3θ+3cos2θ+2sinθ-3dθ Evaluate the given integral

Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x...

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Q: 1/ |x - 1 x2 + 4x - 5 2/ -3|x - 1|-6= 3 3/31x+ 리+6<15

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Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: g(z) = 3z' – sin(z +6)

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Q: Solve the differential equation y' = e³9 sin(4x) and choose the correct answer from the following op...

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