Match the equation with its graph. r(t) = cos(nt)i + sin(лt)j + t²k, Need Help? + 2 Z -2 Read It N₂ 2 -1 < t < 1 4 2 2- 0²7

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A: This question can be solved using the concept of lines and planes in three dimensional geometry.

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A: ∫4x+3x3+2x2+xdx=∫3x-3x+1+1x+12dx=∫3xdx-∫3x+1dx+∫1x+12dx=3lnx-3lnx+1-1x+1Add a constant to the…

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A: Topic = Trigonometry

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A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

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A: Since multiple questions are asked I am answering first 3 subparts

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A: We can find the derivative as below.

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Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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A: answer is in next step . please give a like !!

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A: Given L(x)=0.02x3-0.07x2+8x where x is the number of decades since 2000.

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Q: Problem 2. Find the area between these curves: (a) f(x) = 5x-2 and g(x) = 4x + 1 on the interval…

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Q: k Ĵ S x=0&y=0 x cos(xy) dydx =

A: Evaluating the double integral

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A: To determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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A: To switch the order of integration and then evaluate the value of integration.

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A: We need to find height.

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A: We want to find estimated area using left and right endpoints.

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A: We need to find f'(x).

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Q: Problem 7 Proof that if lim f(x) exists then it must be unique i.e., x→a if lim f(x) = L and lim…

A: limx→af(x) exitsif limx→af(x)=L and limx→af(x)=M then L=M

Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

Q: S cos 2x dx COSX

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Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: * Convert the polar equation to rectangular form r=7 (solve) x² + y² = 7 x=7 O Option 4 x² + y² = 49…

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Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 Option 4 O r=3 Option 2…

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Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: Find all solutions to 2 sin(0) 0= = - - 1 on the interval 0 ≤ 0 < 2π Give your answers as exact…

A: We can find the answer as below.

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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A: Given vectors:- a=-1,2,-4 b=2,-4,-8

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A: Rolle's theorem states that if a function f(x) is continuous on the closed interval [a, b] and…

Q: A Sliding Ladder A 25 ft ladder leaning against a wall begins to slide. How fast is the top of the…

A: This question is based on application of derivative.

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

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A: Given: f(x)=4x2-6415, -7,6

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. (Give your…

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Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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