Evaluate y ds, C: x = t², y=t, -5 < t < 4 C

Q: Question 1 72 y A -1 -2 m 1 2 اليا 3 4 5 6 A 8

A: We are given with the graph f(x)

Q: d√√₁ (47 (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (-2,1), and (3,-4).…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Find (4x + 2y)dA where R is the parallelogram with vertices (0,0), (5,-5), (2,1), and (3, 4). R Use…

A: Use the given transformation x=5u-2v and y=-5u+v to find the given prallallograme integration value.…

Q: Use a graphing calculator to graph f near xo and use Zoom and Trace to estimate the y-value on the…

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Q: Find the local maximum of f(x) Be sure to show your work for x + 2 x² +6

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Q: ted to follow the model C = 60+ 0.1t2, where t is the t

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Q: In polar coordinates, we have the unit vectors in the direction of and normal to as e, = cos 07 +…

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Q: Evaluate the limit. limx→-1 f(x), f(x) = O-8 0-9 O 4 Does not exist. x²2 - 6x 10,x ≤ −1 X {₁ -2,x>-1

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Q: 20 15 10 2 3 7 8 Use the Fundamental Theorem of Calculus to find the area under f(x) = -x² +9x…

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Q: Let f(x) = f'(x) = x+4) x+3 5 CT

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Q: 13. Let C be the curve with parametric equations 2=²+2 v=P²-1, 15152 Find the length of the curve C.…

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Q: Find the directional derivative of the function f(x, y, z) = cos(xy - z) in the direction of the…

A: f(x, y, z) = cos(xy - z)  v = -2i + 2k=&lt;-2,0,2&gt; point P(1, π/2, π/4)   Gradient

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference. 4cos…

A: let   A=4cos(105°)cos(105°)

Q: 7) Find the critical numbers of the following functions: (a) f(0) = 2 sin(0) + cos² 0, 0≤0 ≤ 2π (b)…

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Q: on If lim[f(x) + g(x)] = 5 and lim[f(x) - g(x)] = 2, find lim [f(x)g(x)]. 290 O a. 10- O b. 13. Oc…

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Q: 2) Consider the equation f(x) = 2x³ + 3x² - 12x Use the First Derivative and Second Derivative tests…

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Q: The graph of y = f(x) has f(5) = -1, f'(5) = -3, and f"(5) = 2. Which of the following might be a…

A: f(5) &lt; 0 , therefore only 3 graph can be correct

Q: Find the volume of the region under the surface z = ry² and above the area bounded by x = y² and x +…

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Q: Find the unit tangent vector T(t) for r(t) = 2ti + 3tj + 6tk at t = −2. ○-4i-6j-12k ○_1 O 3 :- i- 49…

A: To find the unit tangent vector T(t), we first need to find the derivative of r(t): r(t) = 2ti + 3tj…

Q: 6) Find the absolute maximum and absolute minimum values of fon the given interval. (Round all…

A: fx=x16-x2 ; x∈-1,4

Q: The area of the surface generated by rotating the curve y = 2 - cos(4x), where 0 ≤ x ≤ π/3, about…

A: y=2-cos4x where 0≤x≤π3

Q: Work Problem 1 a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given equations are

Q: rmine the x-coordinates of any vertical asymptotes or removable discontinuities for the following…

A: fx=x-12x-32x-42x+53x-42x+14x-23

Q: Evaluate the double integral over R= [0, 2] x [0, 3] of the function z = f(x, y) = 5x² - y.

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Q: Given that f(x) = x³h(x) h(-1) = 4 h'(-1) = 7 Calculate f'(-1).

A: Given : f(x)=x8h(x)             h(-1)=4       h'(-1)=7   To Find : f'(-1)

Q: = y. Find the area of the region between the curves 4x + y² = 12 and x = Area between curves =

A: The equation of the curves are as givena) 4x+y2=12 and x=yb) y=4sinx ,y=4cosx form x=0 to x=0.4π

Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 15 cos t 5+ sin t…

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Q: Po s: On Accessibility: Investigate 5.4 Paragraph % Q Search F5 Approximate the area under the…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an =…

A: Explanation of the answer is as follows

Q: 8) (a) State the Mean Value Theorem. (b) Iff is a continuous and differentiable function on the…

A: Given data:-

Q: Given that the graph of f(x) passes through the point (5, 5) and that the slope of its tangent line…

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Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

Q: What is the 100th term of the sequence -3, 2, 7, 12,...?

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Q: Evaluate In e³. In e³

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Q: Write an equivalent double integral with the order of integration reversed. 10 ((-- dy dx 10 10 dx…

A: NOTE: Refresh your page if you can't see any equations. . the limit of x is 0≤x≤10 the limit of y…

Q: Approximate the area under the graph of ƒ (z) = − 32² + 32 over the interval [1,9] using 4…

A: Solving the following problem

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) 63 =…

A: arctan(x) = csc-11+x2x

Q: Find the derivative of the function. g(x) = tan(x) 1 4+t dt

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √2x³…

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Q: Evaluate the limit. lim [1 + x →∞ 3 3x

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Q: f(x) = √2ecos2x 1 determine f'(x). Fully simplify.

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Q: Find the area lying above the x-axis under the parabola y=4x-x^2. Graph it

A: First we find point of intersection of given graph y=4x-x2 with y=0, Then using limit of points we…

Q: The function f(x) = 2x³-42x² +270x-3 has two critical numbers. The smaller one is x = and the larger…

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Q: Use Green's Theorem to evaluate Jo F-nds, where F =√x+4y, 2x + 4y) C is the boundary of the region…

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Q: The volume of the solid of revolution obtained by rotating the area enclosed by the curves: y = −2x²…

A: The region bounded by the curves, y = -2x2 and  y =x2-3 around the x-axis.

Q: 3. Find the area inside one petal of r = sin(30)

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Q: 4 x²-3x³ + 2x² +2x²+x+1 +x+1 3 x² + 2x dx

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Q: Prove \int…

A: Using trigonometric identity we find integration, ∫sinx+cosxsin2xdx=-lncosecx+cotx-cosecx+C We take…

Q: 3. Calculate lim 8118 (a) 13/8 13- 21e 9e +8

A: Given data: limx→-∞13-21ex9ex+8

Q: If the region under the graph of y = x² + from 1 to x = 5 is rotated about the x-axis, - then the…

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