Evaluate 15 C3.

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A: Given that a=log75 and b=log74, using logarithm properties to represent each of the given function…

Q: Find the roots of (D4 +D²+1) 0 a 1± √3 1± √√√3 2 2 =1=Fܪܝ ܘO b. -1± √√3 -1± √3 2 2 0²1+√√√3 -1±i√3…

A: According to question,Given Equation,D4 + D2 + 1 = 0;

Q: Use the FTC to evaluate the following definite integrals. f (6x - 2)dx ³₁ t³ dt

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A: We have to find the number of ways that four commissioners are selected from a group of 12…

Q: 35. (- sint, cos t) dt

A: Given problem:- ∫0π-sint,costdt

Q: Question 10 (D2 + 5D + 4)y=3-2x, Find Yp O a. 11 X 3 O b. I 11 8 OC. 11 + O d. 11 X + 8 3 e. none…

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Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

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A: volume of an isosceles triangle volume=0.5(b)(h)(w), where b is the length of the base of the…

Q: Find the total area of the shaded region. 10- 8 6 4 Ay 15 2 p y=9 π/2 2 y=9 cos x it 3m/2 N X 2x J

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Q: Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 se This will be…

A: Given: dt=61.490-t

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A: The given sequence is: an=7-14n To determine whether the sequence with the given nth term is…

Q: Find the critical numbers and absolute extrema for 2x³ у . Type DNE if an answer does not exist. The…

A: The given function is y=2x3-39x2+216x on the interval 3, 10. We have to find its critical points and…

Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: 26 D 23 29 25 E 15 A Find the shortest path from vertex A to vertex B. Give your answer as a…

A: We want to find out the shortest path from vertex A to vertex B

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Q: (a) sin (2x), c = 0.

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Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

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Q: (D³-4D²y = 5, Find Yp a. 5x² O b. 5.x² 4 Oc 5x² 12 O d. 5x² 12 e. none

A: Given differential equation ( D3 - 4D2 )y = 5

Q: Calculate ff f(x, y, z) dS For Js f(x, y, z) ds = y=7-2², 0≤x, z≤7; f(x, y, z) = = 2

A: we need to solve the given double integral

Q: 2. Evaluate the indefinite integral using the substitution method. [((x+5)(z-5)) d

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Q: Inventory Control Jesaki Publishing sells 50,000 copies of a certain book each year. It costs the…

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Q: Use Newton's method to approximate a solution of the equation ï³ + x + 6 = 0. 1 be the initial…

A: formual for newton's formula is  xn+1=xn-f(xn)f'(xn)dxndx=nxn-1f(x)=x3+x+6f'(x)=3x2+1

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Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

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Q: Calculate the arc length of y = 4x + 1 as a varies from 0 to 2. 8 =

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Q: (1) Evaluate or determine the definite integral: •5п a) | sint|dt, b) ₁dt, c) fe-tdt.

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Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given y = X 3 + 7x²-3x, find all points of inflection and interval(s) of concavity. 3 Concave up:…

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Q: Consider the following integral. Br -2 f(x) dx 0 = where f(x) = Rewrite the given integral. 2 [²1(x)…

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Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: Given A ABC~ A ADE, find the length of line segment AC. B D 33 3 110 Picture is not drawn to scale…

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Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2. The area (rounded to two…

A: Given query is to find the area enclosed.

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A: Given Table:-   x 2 5 8 9 15 f(x) 11 40 35 27 15

Q: length

A: Please refer to the image below

Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: 4. Theorem 11.2.4 contains three product rules. What are the three different types of products used…

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Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the…

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Q: Consider the indefinite integral: A The integrand has the following partial fraction decomposition:…

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Q: During a 12-hour period, the temperature in a city dropped from a high of 60°F to a low of -30°F.…

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Q: 2 0 √√2x-x² X √3 dydx 2 [x² + y²

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Q: 12 5cm C = 9.8 cm and LA = 59° LC is? The messure of Sime Sims Mice Sim (98 x sim 59°) 12.5 =…

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Q: What is the local maximum values of f(x)=x-6/x^2

A: To find point of local maximum/minimum value, Put f'(x) = 0 and solve for x. The obtained value of x…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √² dx 2 + 8x 1 + x²

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Q: Let F(x, y, z) = 4xy²i + 2x²uzi - 3uz²k. Find div(F) and curl(F)

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Q: f(x) = ((2x + 1)(x-2) x-2 k for x # 2 for x = 2 9. Let f be the function defined above. For what…

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Q: Find the indefinite integral x² S ²-16 =dx = +c

A: INTRODUCTION:   An integral is considered to be indefinite if it has no upper or lower bounds.  In…