Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx (x,y) = F(x)= BEF

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Q: The Laplace Transform of is Select one: O None of these. O F(s) = O F(s): O = F(s) = f(t) =…

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Q: Write the sum without sigma notation. Then evaluate. 6 Σ sin kn k=2 Write out the sum. 6 Σ sin kn =…

A: Given series ∑k=26sinkπ

Q: (6417 #3 p. 357) Find the average value of f(x) = 6r-r² f(x= on the interval 2<z≤8

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A: Let's prove that 4 evenly divides 3^(2n) - 1.

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Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

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A: I have appended the formula used in the solution part

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A: We will find the required.

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Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

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Q: enclosed

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Q: 14) у = так? (*); а = ? А) Ч 47X2 х2+4 B) - L 2\4-x³² c) 2 D) L 2+X

A: according to guide line we do only first part .please re post other parts in next question (14)…

Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

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A: we need to find out the values of the composite functions.

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Q: 28-30) Given f(x) = 2x + 3 and g(x) = 3x + 5 28. If P(x) = f g then P' (2) = 29. If D(x) = then…

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Q: (a) Find the velocity v (t) - |a| (b) Find the acceleration function. 71 sin (a) e7 [7 sin(81) + 8…

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Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: If ["F(x) 1.2 f(x) dx = 7.2 and nd ["fix) dx = 5.6, find [° F(x) dx. X

A: we know that ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where c is betwwen a and  bgiven  ∫17f(x)dx=7.2 and…

Q: The volume of a sphere is increasing at a constant rate of 198 cubic feet per second. At the instant…

A: let Volume = V V = 43πr3S = 4πr2dVdt= 198 ft3secfor an intance V = 18 ft3

Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4 + 12…

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Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: Find a general solution to the given equation for t<0. 3 y"(t)- y'(t) + y(t) = 0 ² 29 The general…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

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Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima