Let f be a continuous function on [a, b] such that f(r)a" dx = 0 for every n > 0. Prove that f = 0 on [a, b).

Q: Calculate the next term in the arithmetic sequence that increases by 65, if the current term is 41.

A: Given, the arithmetic sequence that increases by  65, if the current term is 41.

Q: E Compore and contrast fix) and g(x). f(x) = Ex +21+1 (x-3,whenIA-2 (x+1,when x -2 p(x) =

A: We need to see the difference between the given functions: f(x)=|x+2|+1g(x)=-x-3when x<-2x+1when…

Q: Given D = 6p sin ø a, +1.5p cos o as C/m², evaluate both a) S,D'dš p=2,o<¢<T,0<Z<5 6) p:…

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Q: Suppose a baseball team has 9 players. How many possible batting orders of those players can be…

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Q: a) Given a surjective function f : [-1, 1] → [-1, 1], prove or disprove: f-l (f{0}) = {0}. b) Find…

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Q: Msing z-transform methods, solve the difference oquation 6yk +2 + Yk+1 - Yk = 3 subject to yo - 31 -…

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Q: Verify Stoke's theorem for the vector fi

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Q: (b) Show that the line joining points A(rA, YA) and B(xB,YB) can be represented by the parametric…

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Q: The addition of matrices shown below gives: Гз 7 27 10 0 and [5 3 4] Г2 47 Li 3] А. Зх3 matrix B. 3…

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Q: 3. Use the Newton-Raphson method and the modified secant method (8= 0.05) to determine the root of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Prove each of the following by mathematical induction Ž:(2') = 2 + (n – 1)2t A) i=1 B) 2* 2 1+ k C)…

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Q: a + bx? dx 3ax + bx

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Q: 11 A ball was thrown uphill from the base of a hill inclined at 30° to the horizontal. The initial…

A: please give a thumbs if it helps, thank you for choosing bartleby

Q: Use integration by part to obtain a formula for S x"e®*dx and use it to find S x°e*dx. n Bx 3 5x

A: We have to find the formula for given integral.

Q: 9. Write an equation for a logarithmic function with a vertical compression, a horizontal stretch, a…

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Q: Find the coordinates of the image. Ry-axis (S) -- -3 Ry-axis (S) = (Type an ordered pair)

A: Given : The coordinates of a point S is (-3, 4) To find : We have to find the image of S under…

Q: 4. Find the moment of inertia about the x-axis of a thin plate bounded by the parabola x = y - y and…

A: We have to find moment of inertia about the x -axis.

Q: (1.4) :(::)-(::) 3 4 3 4 %3D 2 2 2 2 Therefore Axiom 10 holds. Is this true or false? Give reasons…

A: This is the problem of vector space.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Let us consider the given function f(x, y)  To determine the extrema of the function subjected to…

Q: Find a plane through P (2, 1, 1) and perpendicular to the line of intersec- tion of the planes:…

A: find a plane through P2,1,1 and perpendicular to the line of intersection of the planes  2x+y-z=3 ,…

Q: The solution of the differential equation x2y" - 2xy' + 6y = 0 (x > 0) is the function y(x) = C1…

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Q: L = {cos (–5t)} L = {e-3t sin (5t) } 5 s2+25 (s+5)+9 s2– 25 (s+3)+25 s2+25 (s+3)–25 s2+5 (s+5)+25

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Q: Two secants ABC and ADE are drawn intersecting the circle at B, C, D and E. The angle between the…

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Q: State whether each of the following series converges absolutely, conditionally, or not at all. n…

A: Given series is ∑n=1∞(-1)n+1nn+3

Q: A regular pentagon has sides of 20 cm. An inner pentagon with sides of 10 cm is inside and…

A: We have to find the area inside and concentric to the larger pentagon but outside the smaller…

Q: Solve every problems given and provide the corresponding answer/s needed. Calculate the real values…

A: Given, x+iy3 is real and x+iy=8Equation: z-12=i(9-2z¯)To find:1) Value of x and y…

Q: 2. f(t) = e-Stcosh(6t) – (9t)"/2 %3D

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Q: Determine whether each improper integral below converges or diverges. -3x 1. S xe dx хе 1

A: We use definition of convergence of improper integral.

Q: Let f : R? → R be defined by f((x, y)) = 8y – 5x + 8. Is f a linear transformation? a. f(x1, Y1) +…

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Q: Which of the following is the general solution to the differential equation dx + 2x = 2x²y²dy ? %3D…

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Q: IF F= 3yI - Xy I+ 9ZK and s is the Surface of the Pasabolied 2X =x2 fy Bounded By Evaluate %3D I=2…

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Q: If the cardinality of a set A is 4 and that of a set B is 3, then what is the cardinality of the set…

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Q: suppose Vi =( 6,I,0,-1), V2 =(0,りも,1) and b= (l,2,-1,-1). iet W be spanned by v, and Vz. Find…

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Q: Answer each question correctly. Show your complete solution The complex number 2 + 4i is one of the…

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Q: Construct a truth tabie in each of the given mathematicai statements. Use the space provided below.…

A: Given: (p→q)∧~r(r∨q)↔(~p∨q)

Q: She pours 6 OL ave a full servir

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Q: What is the general solution to the differential equation dy + ydx = 2xy²e*dx ? x³y + 4x?e* = C 1 =…

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Q: 3. A hydraulic rework shop in a factory turns out seven rebuilt pumps today. Suppose three pumps are…

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Q: CyBetrok Thcorporated, their weekly profit function for producing x smart home hubs can be modeled…

A: Since there is multiple questions we will solve the first one. Repost the question and mention the…

Q: {(-)} 3. k 1

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Q: A depot is located at the intersection of an east-west railroad and a north-south highway. Two…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: Find the linear approximation L(x of the function f(x) =V1– at a = 0. L(x)=mx+b where m is - and b…

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Q: (18) If a, be Z, then (a + b)3 = a3 + b3 (mod 3).

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 30 and the sum of whose squares…

A: We have find three numbers whose sum is 30 and whose squares is as small as possible, by lagrange…

Q: Find the Laplace transform of t< 5 f(t) = 2-10t +30, t 2 5 F(s) =

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Q: In standard normal distribution, what is the area between z = 0 and z = – 2.13 under the normal…

A: Given normal distribution

Q: Daily sales records for a computer manufacturing firm show that it will sell 0,1, 2, or 3 mainframe…

A: Option a is correct

Q: What is the general solution to the differential equation (бх — Зу + 2)dx + (у — 2х + 1)dу %3D0 ? |…

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Q: Donald's "Theorem" states that if x and y are even integers, then ry must be a perfect square. (Note…

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Q: dy What is the general solution to the differential equation -y = (2) sin x ? %3D dx y = x?(2x cos x…

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