Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least two points on each side. 2² h(x) = - 6x +8 x-3 ^h(x) X F S

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: Verify Green's Theorem for: f4y³dx-2x²dy where C, oriented anti-clockwise, is composed of the…

A: To find the integral ∮C4y3dx-2x2dy where C is the positively oriented closed curve x2+y2=9, y≥0 and…

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Here, x changes from 35 to 38. So, change in x = 38 - 35                              =  3.

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Find the directional derivative of the function at point P in the direction of v: f(x,y)=x^3 y,…

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Q: Solve and check the linear equation. 6x+1=31

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides divide both…

Q: Evaluate e 2 e D dx 2 X (LAX) ²

A: In this question, we want to evaluate the given definite integral.

Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: TO 1 1 3 2 -a 2 123 b 1 3 1 0 1 0 0 3. C Ld- 3 UAN со 2 4 5

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Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: e dr -da xux

A:

Q: Suppose f is a differentiable function with f(1) = 1 and f'() = -1. Let y = f(x). tanx + ex. cosx.…

A: According to question,Given Function,y = fx.tan x + ex.cos xfπ = 1andf'π =- 1

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A:

Q: Find the area of the region between the curve y = 1/1 + x^2 , 0 ≤x ≤√3, and the x-axis.

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Q: Assume that in the absence of immigration and emigration, the growth of a country's population P(t)…

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Q: -2 - 1 How did he get the value inside the circle 1-t x (t) = ૧ 1-t 2

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Q: If f(x) = etan-¹(x²-3) then f'(x) at x = 2 is equal to

A: SOLUTION-

Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: 3 S4e³ lnx dx

A: This question is related to Indefinite integration, we will solve it using given information.

Q: 11 7 Find Y 12 2r₁²³² + y² = 4 2

A: here is the solution

Q: Evaluate the following integral. 7x²2 dx S- (225+x²)²

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Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)…

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Q: If k 0 then the trigonometric integral [ 3 sin³ (kx) dx is equal to ¹(3 cos(kr) cos³ (kr)] + C

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Q: 1.6 Suppose that For each function h given below, find a formula for h(x) and the domain of h Note:…

A: The solution is given below

Q: 3 4 L2 3 2 2 2 4 D-1 b 3 2 51ra- 2 3. 3c ||

A: Understanding of Cramer's Rule is required to solve this problem.

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: Note:- Range of the function f = Domain of inverse of the function f From the given graph :- Vertex…

Q: N Given the series an, let SN=an be its Nth partial sum. Suppose that n=1 n=1 SN=8- A) Find a3. 5 N²…

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Q: Differentiate O y = arctan √3x

A: In this question we have to find the differentiation of y.

Q: Find the area of the parallelogram that has u = 2i - 3j + 2k and = 2j+ k as adjacent sides. NOTE:…

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Q: If 3x² + 5x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation.

A: We can find the answer as below.

Q: Evaluate the iterated integral. 1 4y x+y Jy 0 12xy dz dx dy

A: Given ∫01∫y4y∫0x+y12xydzdxdy

Q: A linear function is given. A(r) = − 2/3 r − 6 (a) Sketch the graph.   (b) Find the slope of the…

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Q: dx 2+2 sin x + cos x

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Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x² - 37) = -1…

A: This is a problem related to limit calculation. Based on epsilon-delta limit we will answer.

Q: Let f(x) = sin x and g(x) = ex. If y = f(g(x)), what is y'(0)?

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Q: ۱۰۱۱ A function is said to have a horizontal asymptote if either the limit at infinity exists or the…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given points are,

Q: 1. For f(t) given below sketch 1. f(t-4) 2. f(t/3) 3. f(3t) 4. f(2t-4) (a)

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Q: Consider the vector field F and the curve C below. F(x, y) = x4y5i + x5y4j, C: r(t) = (t²- 2t, t² +…

A: Consider the vector field F→ and the curve C F→(x,y)=x4y5i+x5y4jC:r→(t)=t2-2t,t2+2t , 0≤t≤1

Q: Given y(4) — 6y"″ – 36y″ + 216y' = t² − 5 + tsint, determine a suitable form for Y(t) if the method…

A: To find the suitable form of yt by method of undetermined coefficients of the differential equation…

Q: Assume that S = Σ(-1)"-¹. 999 9 99 8 O 1000 10 1 (n + 1)5 n=1 n=1 Find the smallest integer N such…

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Q: The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

A: We need to find out the general solution.

Q: 6. Write down the partial differential equations for; (a) Diffusion equation (b) Wave equation,…

A: Diffusion equation identical to heat equation  Wave and Diffusion equation contains partial…

Q: If f(x) = 3x²-3x + 2, find f'(1). Use this to find the equation of the tangent line to the parabola…

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Q: Find the radius of convergence, R, of the series. (x - 10)" n n = 1 R = 10 Find the interval, I, of…

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Q: 80 mm 40 mm 40 mm 10 mm 30 mm of the beam's cross-sectional area. X 20 mm

A: The solution is given below