f(x)= { A. True B. False 4x²-5, 32x-69, x≤4 x>4 is continuous and differentiable everywhere.

Q: Σ n=1 5n Vn3 +1

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A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

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Q: 29. xy dx + 2(x² + 2y2) dy = 0; when x = 0, y = 1.

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given :y=c1+c2x+c3e6x

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A: We can find the 17th derivative as below.

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A: Given that , Initial investment = $4000 Rate of increase = ?

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A: The tangent is a straight line so it will be of the form y = mx +c  We can get  m  by finding the…

Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: A force of 960 newtons stretches a spring 4 meters. A mass of 60 kilograms is attached to the end of…

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Q: Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A: This question can be solved using the area of triangle in three dimensional geometry.

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A: This question is based on application derivative.

Q: Find the exact value of the expression below sin (sin ¹(-)) O a) √3 2 b) √2 c) 0 ○ d) 1 e) undefined

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Q: Find the vector v with the given magnitude and the same direction as u. Direction u = (-6, 4, 0) V =…

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Q: Determine if the following statement is true or false. Justify the answer. If a finite set S of…

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Q: could re write the solution again please

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Q: 0. Let u and y be functions of x that are differentiable at x = 5. Given that u(5)--7, u'(5)-1, v(5)…

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Q: 18. The graphs of f'(x) and f"(x) are shown below. Which of the following statements best describes…

A: Generally wave functions are either sine functions or cosine function. Also sin(0°)=0 and cos(0°)=1.

Q: A volume is described as follows: 1 1. the base is the region bounded by y = 1 - -x² and y = 0 25 2.…

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Q: 5) Consider the vector function r = (9 — 2t, 4 + 2t, √√2t²) a. Find the length of the path on 0≤t≤1.…

A: Given,

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Q: )  Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −7 such…

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Q: Evaluate csc² √2x √x [³ dx.

A: Given data:- ∫csc22xxdx

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Q: W Let z = x₁ + iy₁ and w = x2 + iy2. Prove = e²-w ew

A: ex × ey  = ex+y  e-x = 1/ex

Q: 6. Verify that the function f(x, y) = ln (x² +2²) is a solution of the Laplace equation Zxx+Zzz = 0

A: Topic:- application of derivatives

Q: Let ³ 10n 4n + 1 Determine whether is convergent.

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Q: 3 :) Scos ³ (Zw) sins (zu) du 2

A: To find out the given integration.

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A: By using the general solution and the initial conditions we can find the particular solution of the…

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (e² - e-t)² L{f(t)}

A: f(t)=(et-e-t)2

Q: Calculate lim n4x Σ 11.4 n. 4n

A: Given   limn→∞∑i=1ni.4in.4n

Q: 5n i\n +1 Σ– n=1

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = —, (1, 8, 8) X 10…

A: Explanation of the answer is as follows

Q: Two functions are shown. y = f(z) is the function on the left and y=af[b(z-c)] +d where a=1, b,c,d…

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Q: H.w2: Compute √7, using Newton-Raphson method, Starting from (xo = 1.5) (take an accuracy 5D…

A: To find the value:

Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: Prove that .. ICOS 55 577 3 Cos БП [Cos 4 isin STT 3 57 + i sin S11114 = ~1 6 G +

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Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

A: A wrench 20 cm long lies along the positive y‐axis and grips a bolt at the origin. A force is…

Q: S2 g(x)dx A. 1 f₂f(x) dx A. 2 Si[2 f(x) - g(x)]dx A. 4 B. O B. 10 B.20 C. −1 C.-2 C. -4 D. cannot be…

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Q: Questions 6. W Use the following information to answer the next question Two functions are shown. y…

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Q: Evaluate the integral. sint dt (3 + cost) 6 OA. OB. C. O D. 1 7(3 + cost) 1 (3+ cost)5 + C + C 1 5(3…

A: I have stated the used formulas in the solution

Q: Find out how much a retirement account based on a principal of $100509 compounded 5% quarterly after…

A: Topic = Algebra

Q: 5)  Solve the initial-value problem by using integrating factors. xy' = y − 3x3, y(1) = 0 y(x) =

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Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

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Q: The equation of the tangent line to f(x) = In x at x = 1 is O y = x - 1 O y = x O x = 1

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Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…