Use a sum-to-product identity to rewrite the expression. sin 5x + sin 2x sin 5x + sin 2x = (Use integers or fractions for any numbers in the expression.)

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A: topic- Riemann sum using left and right endpoints

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

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Q: • Find the exponential F.S of the signal shown below, then find the trigonometric form. of(t) A 1/2…

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Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: Determine whether the improper integral diverges or converges. 16 1 √√√x dx converges diverges…

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Q: The graph of the *derivative* of F is given below. 0 -1 1 2 F'(x) Given that F(0) = -4, find F(6). 3…

A: Find function f by integrating given function and then eliminate value of constants

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Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

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Q: What transformation is required to obtain the graph of the function f(x) = 7cosx from the graph of…

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Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

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Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…

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Q: 7 [[11x + √]dx = [ 8x3 +C

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Q: 10. Let w = f(x, y, z) = xe. If x = t², y = 1-t₁ z = 1 + 2t, use the partial dw dt derivatives and…

A: Using the chain rule and rule of partial derivative and get the required derivative.Final solution…

Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: Find the average value of f over the region D. f(x, y) = 6x sin(y), D is enclosed by the curves y =…

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Q: (c) State the Fundamental Theorem of Calculus Part II.

A: In this question we have to state the Fundamental Theorem of Calculus Part II.

Q: ∞ 20. ) (-1) n=1 (n + 1)! (n + 1)”

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Q: Let g(u) be a function such that f g(u) du = ln (1 + 8u²) + C. Evaluate fxg(x²) dx.

A: This question can be solved using the concept of integration by substitution and definite integrals.

Q: Find the general solution to: dy X xẩy = xảy x²y d y = o y = Cet² ° y = Cezx² ○ y = ex² ez x² + C…

A: We need to find out the general solution of the differential equation.

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: In this question we have to find the value of b and c.

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

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Q: • You will not receive credit if you submit your assignment late. P 1. ( Find the center, foci, and…

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Q: (d²4)(d - 2)y=0

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

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Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) (sin(0) +…

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Q: 3

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Q: Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the…

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Q: Q3/ Solve the following Second order differential equations. 2- d²y dx² +3+ 2y = e-x + e-2x -

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Q: Find the average value of the function f(x, y) = 5/√x² + y² on the annular region a² ≤ x² + y² ≤ b²,…

A: Here we have to find the average value of the function f(x,y) = 5/√(x2+y2) on the annular region…

Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: F(x)= -sqrt(4x+1)-2 This is the value of the function

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