If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)? Do not include "g′(−6)=" in your answer. For example, if you found g′(−6)=7, you would enter 7.

Q: Given the following vector field and oriented curve C, evaluate F = (x,y) on the parabola r(t) =…

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Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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

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Q: Question 5 Find the general solution of the differential equation y" - 10y' + 61y = 0. NOTE: Use c₁…

A: Solution : Given that differential equation                  y"-10y'+61=0

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: If R is the region bounded by the graphs of the functions f(x) = 2 + 5 and g(x) = x + ½ interval [1,…

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Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) limal; (2) Itm X(tan-¹x-x)

A: I have solved step by step in detail...go through the solution

Q: Find the radius of convergence for: 6nxn n! n=1

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Q: • Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: The objective of the question is determine the orthogonal curve for the given curve.

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1…

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Q: Find a differential equation of the following family of curves whose solution is: 1. A family of…

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Q: Q2: Solve the following integrals: (3) dx

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Q: The region is bounded by the graphs of the equations y = sin x, y = 0, x = 0, and x = π. dA = ( A =…

A: Here is your solution

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7.

A: I have stated the used formulas in the solution

Q: Given F(x) below, find F'(x). Provide your answer below: F(x) = I 4 (414 + sin* (t)) dt

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Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: Q3/ A. For the following function f(x). Find: f(x) = x² + 1 i. ii. iii. The slope of the f(x) by…

A: Given function, f(x)=x2+1 Aim: To find slope of f(x) Therefore differentiate w.r.t.x Therefore…

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A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: Save Complete the following steps for the given function, interval, and value of n. a. Sketch the…

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Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: , 4x²+x+17 (x+1)(x²+4) dx I

A: Hee, to evaluate the given integral we have to rewrite the rational function.

Q: [² 11. [(2 sinx+cos.x) dx 9. 13. 15. x¹/3 19. 21. 3 x2/3 - dx 17. [(3 cos x - 2) dx [(5x- 2²/1) dx…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z=1 2x-y-z = 0 = 4 x +2y-z

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Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: Concept: Here we have the height of the mound is 24 inches (h) And the base of the mound is 36…

Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

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Q: 4 (A): If A 2 2 1 Find AB and AC. 01 0; 1-2 -1 1. 2 B = 2 ܚ ܨܢ ܝ 1 ܚܕ ܨܐ ܝܕ -2 -2 and -1 2 1 C: 11…

A: Here, the given matrices are: A=420210-2-11, B=2312-2-2-121, C=31-3026-121

Q: Apply Descartes' Rule of Signs. Determine the number of possible positive and negative real zeros…

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Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. A $124,000 trust is to…

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Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: Use Green's Theorem to evaluate the following line integral. Assume the curve is oriented…

A: Please see the below picture for detailed solution.

Q: Find the general solution of the following differential equation. y" − 14y' + 40y = 0 NOTE: Use c₁…

A: Find the general solution of the following differential equation. y" — 14y' + 40y = 0

Q: Rewrite the expression In 3 + 5 ln x + 6 ln(x² + 4) as a single logarithm In A. Then the function A…

A: We know the property of logarithm that  ln(a)+ln(b)= ln(ab)  ...(1)  And,  pln(x)= lnxp .....(2)…

Q: S 7dx x(lnx + 1)

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Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…

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Q: For f(x) = 7x and g(x)=x+4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d.…

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Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

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Q: Use the tabulated values of f to evaluate the left and right Riemann sums for n = 10 over the…

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: Compute u v if u and v are unit vectors and the angle between them is R|4

A: we know that u.v =uvcosθfor unit vector u=v=1given θ=π4

Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: 10. dy dx = X y²√1 + x

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

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Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A: Find determinant of coefficient Matrix  Then find delta x ,delta y, delta z