3. ƒ (1−2x)² dx S x

Q: Consider the parabola given by the equation: f(x) = 2x² - 12x Find the following for this parabola…

A: Concept: vertex of the parabola: A parabola's vertex is the location where the curve turns steepest.…

Q: Je ež cos (2t)dt

A: Please see the below picture for detailed solution.

Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: Determine whether the series converges or diverges. 00 3″ 3 + 50 n = 1 The series converges by the…

A: Solve the following

Q: Find the divergence of the field. 2xyzk F = 5ye 2xyzi + 5z e 2xyzj+5x e² div F =

A: Solve the following

Q: Find the general solution of the differential equation ㅠ y" + 25y = 13 sec²(5t), 0 < t < 10 NOTE:…

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Q: A manufacturer knows that when he charges p dollars per unit for his product, he will be able to…

A: Given :Ax=5+x50x=380-20p

Q: Find the areas of the regions enclosed by the following curves. = 2sin 20

A: To find the area of the region enclosed by the following curve.r=2 sin2θ

Q: Tative maxi f(x,y)= 18y² + x²-x²y values and the saddle poin Find the relative maximum. Select the…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 7" 57n3 Σ(-1)-1_ n =…

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Q: Write the equation of the circle centered at (2, 9) that passes through (18,7).

A: To find out the equation of the circle.

Q: Determine the domain for the function of two variables h(x,y) = 5x e √√²+y Choose the correct answer…

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Q: Let f(x) = 4x6 In x f'(x) = Rounding to 3 decimal places, ƒ' (e²) =

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Q: [(8-3sin2x)+ cos2xdx

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Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

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Q: 1o₂ = 2 · (² x (t) ·cos (nwot) at + = + [² 2 a 2¹ (1-4) Cos (2nit) dt =21 (1-t) 2 [- (t-1) Sin…

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: For f(x,y) = Inx+y³, find f( e 5,6). f( e 5,6) = [

A: We have to find f( e5 , 6)

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 m² + ym + 2m +8=0 m (m+4) +2 (m+4) = 0 2…

A: We can solve your query in the following steps.

Q: If a differentiable function f is decreasing on (a,b), then f'(x) < 0 for each x in (a,b). A) True B…

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Q: 5. S dx xlnx

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' where a =…

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Q: 2a It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x…

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Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

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Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

Q: Using only the theorems on determinants and the row/column operations, show that: 1 1 a b a² b² 1 C…

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Q: c) (n+1)2

A: We will apply Ratio-Test for converge

Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

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Q: A good interval to use for the Intermediate Value Theorem to find a root of the function f(x) =…

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Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: im (x sin(2)) (a) Describe the type of indeterminate form (if any) that is obtained by direct…

A: NOTE: Refresh your page if you can't see any equations. . use direct substitution   .............…

Q: 7. Let f(x, y) = a) xsin y-y sin x + y find Simplify and give exact value b) 0. Simplify and give…

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Q: Let k(x) = 2x (h(x) + 2x²g(x)). Given the following table of values, find k' (0). 0 3 3 -1 3 Provide…

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→explq = cq and limx→ck = k. (Use…

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Q: A pilot is flying from Daytona Beach to Prescott. The two cities are 1874 miles away from one…

A: Let speed of light  = Va         wind speed  = Vw = 12mph  let flight flying direction WαN       ⇒…

Q: Find the solution of the initial value problem y" + 6y + 18y = 0, v (-) = 0, v (²) y(t) = = = 6. How…

A: The given initial value problem is y''+6y'+18y=0  with yπ2=0,  y'π2=6. At first we solve the…

Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

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Q: A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O…

A: Given graph of f'(x)

Q: dx 2+2 sinx + cos x

A:

Q: 2 Find the F.T. of the following Signals (functions) b. f(t) = u(t) Coswet. -at a. f(t) = te. S Sul…

A: [2] (a)  Given f(t) = te-at We have F[e-at] = 1/(a+jw) From the formula F[tne-at] = n!/(a+jw)n+1…

Q: F.T. 3) If X(t) 4² _y(t) = x (2+-1) -it Ans: Yow) = + X(W) and X (W) = --J(W+1) W+1 [4+j(W+1)]² 2 (2…

A: Given that, Forior transform of x(t) is x(w). And x(ω)=w(2+jω)2 If y(t) = x(2t-1)e-jt  Then We have…

Q: 7. Find function q(z) = x³ − 3xy² + iv(x, y) is analytic, find v(x,y).

A: if a function is analytic then C-R equations satisfy.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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Q: Speeding up

A: the answer is 173 yard/sec , since speed is positive the humming bird is speeding up

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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Q: Test the series for convergence or divergence. 8 Σ· n = 1 2 n

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Q: 1. vdv S 602-1

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Q: You are planning to make an open rectangular box from a 31-in.-by-61-in piece of cardboard by…

A: First take a square of length x then make a box and find the volume in terms of box . And…

Q: lim X→ x A B C D √√x³+3x²+7 4x²+3x+4 0 ∞ 1 4 11 = Some other answer

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