500 e4 ·∞0 1+e²4 1+ezy dy -00

Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A: Follow the procedure given below.

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Q: Write the relations and convert polar to Cartesian coordinates of ( 1, 45° ), then draw the point…

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Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x = 0, x = 2, y = x and y = x + 2

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Q: Suppose you know that: • f(0) = - 18 f(1) = -17 • ( f (y) et dy = 10 Evaluate: [ = f'(t) et dt

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Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

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Q: Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

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Q: 4x Compute the values of dy and Ay for the function y = e + 2x given x = 0 and Ax = dx = 0.05. Round…

A: Follow the procedure given below.

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Q: 1. (2xy² + 2y) dx + (2x²y + 2x) dy = 0, 2. + 6x) dx + (In x - 2) dy = 0, x y(1) = 3 y(e) = 1

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Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: hand-tossed pizza base starts off as a ball of dough with a volume of 400π cm3 . First, the cook…

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Q: 207 Σ=15 (11). Find sum Σ 15

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Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: Solve the given equation for x. (2x + 1)² = (3x - 1)² X = (Simplify your answer. Use a comma to…

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Q: Which of the following gives the area of the region bounded ㅠ by the curves y = sin x, y = sin(2x),…

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Q: Let u = cos(4x) and du = e2x dx, then by using IBP, the integral 1 (a) — e²¹ ²² c cos(4x) +2 SC.²2.…

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Q: 9. The value of q will make the roots of quadratic equation 9x²-4qx+4=0 be equal are A.0 B. q-3,-3…

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Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

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Q: 1. The half-life, T, for a particular radioactive element is 3 min. Find the decay rate of the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Evaluate the iterated integral y² T² (4x+10y) dxdy. 0 O O 11 10 0 -1 O 1 O All of the above Y 11 10…

A: Given query is to find the value of the integral.

Q: R. H. side is 3 2 [ f z=1 y=1 -2(x+1)y dy dz

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Q: If integration using u-substitution technique is used to solve for O u = e4x Ou=1-e¹ O U= u = €²x…

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Q: Compute A B, where A = AB= -5 6 -5 0 and B = 6 7 2 9

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Q: kx 4+x² If k > 1, evaluate O ka -In|x² + 4 +C 2 Okx -arctan (2x) + C 2 Ok In(x² + 4) + C O arctan…

A: Given: I=∫kx4+x2dx   ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: Find the value of an investment of $10,000 for 12 years at an annual interest rate of 4.55%…

A: Use compounded continuously formula

Q: Find the value of an investment of $25,000 for 13 years at an annual interest rate of 3.15%…

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Q: e will examine two procedures in the use of partial integration (See image) a) Procedure 1: Derive…

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Q: Suppose 10 workers produce 500 units of commodity X and 20 workers produce 800 units of commodity X,…

A: The formulae of marginal product is        MP=change in firm's use of inputchnage in quantity of…

Q: 3 the following first order ordinary differential equatio d. dy = (x²e³x + 6y)dx

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Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: Let g(x) = 2 f(u) + 3 where . u = x² + 2x. What is the derivative of g with respect to x? ○ 2. f'…

A: Given that, the function is gx=2·fu+3 and u=x2+2x. By the chain rule formula ddtFut=F'ut·u't.

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

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Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

Q: The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the…

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Q: In the Figure 1, if Q= 40 N, R = 100 N, and B = 145°, then C is equal to: Figure 1: с A R B P

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Q: Determine whether the series converges. The series 8 k=1 13 15k

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Q: he "Garbage Project" at the University of Arizona reports that the amount of paper discarded by…

A: We use a standard normal table to find the value  Given mean=9.4 standard deviation=4.2

Q: Find an explicit solution of the given initial-value problem. dy_y²_ 1 = y(4) = 4 dx 1 ||

A: The objective of the question is determine solve the differential equation.

Q: Verify that the indicated function y = (x) is an explicit solution of the given first-order…

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Q: Find the value of k which makes the following piecewise function continuous for all values of x. k-x…

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Q: Find g(0), g(-4), g(6), and g 19 (27) √16-x² 2 Find g(0). Select the correct choice below and, if…

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Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

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Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

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Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

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Q: If we use IBP to evaluate Ixe xe²x dx, then the most suitable choice for u and dv are

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Q: Which of the following is the result of differentiating both sides of the equation xsin y = 2 ln x +…

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Q: 2. Line I has the equation y = 3x - 4. Line m has the equation y = 3x + 2. a. Graph each line on the…

A: Given line equation is in form of :               y=mx+c              where m= slope of line…

Q: 3. log (x²+x)-log.(x-1)-2 А. 2 Oi J. оо о で В. 16 C..X D. - 16 -

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