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Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…
A: Explanation of the answer is as follows
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A: Given function is: h (z) = (ez - 1)1/2
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Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…
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Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…
A: Given problem:-
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A: Given function, y3+2x2y5=1
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A: This question can be solved using the concept of triple integrals.
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A: LetI=∫(3x+1)15dx put u=3x+1differentiate du=3dxdu3=dxThereforeI=∫u15du3Take constant…
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A: Follow the procedure given below.
Q: Express the function n, lim n→+∞ 4k² in closed for and then find the limit. n³
A: We will first write this function in closed form then we will calculate the limit of the function.
Q: The following integral will be evaluated using integration by parts with the indicated choices of u…
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Q: II. Solve the following Linear differential equations of order one. 2.) хdy + (у — ху + 2)dx
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Q: Evaluate the following integrals I 1. x² - x 1+3x²2x³ dx J₁ 2. /1+2 I dx 1 + 2 sin r ²+2 3. da x + 1…
A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…
Q: 2. Determine the angle, to the nearest degree, between the vectors * = (4,6,-2) and y = (1,8,2)
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Q: [ 2² cos z dr = f(z) sin r + g(z) cosz+c The value of ƒ (1) + g (1) is Blank 1
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Q: (b) Prove that the improper integral ]] converges. dr dy (1 + x² + y²)³/2
A: Given problem:-
Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…
A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…
Q: QUESTION: 2. Sketch the graph and solve for the volume of the solid generated by revolving along the…
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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…
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Q: Q) find differential equation of the following equation (1 + x²) dy + (y - tan-¹(x))dx = 0
A: On solving this we will get
Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…
A: We have to find directional derivative
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Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²
A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.
Q: The Taylor series for f(x) = e at a = 1 isen(x − 1)". - n=0 Find the first few coefficients. CO C1 =…
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Q: 8) Determine p'(x) where P(x) = 0.08e*
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Q: Example 99 Consider the set M = {(x, y) = R²: x,y #0}. Find M. Solution:
A: The orthogonal complement are subspace
Q: Find and sketch the domain for f(x, y) = ² 2x-14y²
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Q: Find the angle of intersection between the equations f(x) = 3x and g(x) = 4 - x 2 in the first…
A: Given f(x)=3x, g(x)=4-x2.
Q: Evaluate the integral In 23 In y s s ex+y dx dy.
A: Given: ∫1ln23∫0lnyex+ydxdy
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Q: Question 13 Which of the following satisfies the differential equation d²y dx² A. y = e³r B.y = e-3r…
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Q: The integral gives the area of the region in the xy-plane. Sketch the region, label each bounding…
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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 20…
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Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost…
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Q: d. State the equation of the vertical asymptote of f(x)=log, (x+1). e. Sketch a graph of f(x) = log,…
A: We have to find the asymptote of function and graph
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A: Given; standard deviation=0.9, mean=15.2
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Q: 12 Given that f(x) = 2x 3 + x - 3, evaluate the function f(-2). 11 -69 -21
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Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…
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Q: What is the average rate of change of f(x) from x₁ = -8.2 to x₂ = 2.8? Please write your answer…
A: Follow the procedure given below.
Q: A. By power series, prove that: d 4 sinhx dx sinhx = coshx
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Q: Which of the following accurately described the parametrized surface below? O paraboloid O cone O…
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Q: Given triangle ABC, A = 40, a = 15, and b = 19, find B to the nearest degree. Do not round answers…
A: Given triangle ABC, A = 40, a = 15, and b = 19 To find B to the nearest degree.
Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, y ( ) = 0 O y =…
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Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6
A: Ans - In this question, we will find the limit of the given expression.
Q: Calculate the area contained between the curve y = cos x, π<x< , and the line y =
A: Given:-y=cosx, -π<x<πy=1/2
Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…
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