Given f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the x-intercept (if any) • the equation , x= f(y)

Q: 3x + 8 x²+x+1 (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated…

A: The given function is

Q: A price p (in dollars) and demand x (in items) for a product are related by 2x2 - 4xp+70p² = 29,000.…

A: A price p (in dollars) and demand x (in items) for a product are related by       2x2 - 4xp + 70p2 =…

Q: Find a general solution to the given equation for t<0. t²y'' (t)-5ty' (t) +11y(t) = 0 The general…

A: To find a general solution to the given differential equation for .

Q: Consider the same system as given in the previous problem: 4xu²+5yv4 = 9 3xy(u² - v²) = 0 It is…

A: The correct answers are:(a)dxdu​=0 at(1,1).(b)dydv​=0 at(1,1).For further explanation check…

Q: 8. The magnitude of vector [a,b,c] is¸ 9. The magnitudes of vector [a,b,c] and vector [-a, - b,-c]…

A: Magnitude of a vector is given by  is given by

Q: c. 7.389056 In(t − 2) > e² 2. Provide a graphical (one combined) solution for the system of linear…

A: The final answer, represented graphically, is the shaded region that satisfies all four inequalities…

Q: 4. Find_r(t), if_r'(t)=4sin(2t)i +8t³j and r(0) = 8i-3j. A) r(t)=-2 cos (2t)i+2t¹ j B) C) r(t)=-2…

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Q: If a ball is thrown in the air with an initial height of 5 feet, and if the ball remains in the air…

A: If a ball is thrown in the air with an initial height of 5 feet, and if the ball remains in the air…

Q: Macmillan Learning Consider the given graph. 13 4.8 1.79 2.19 Let c = 2, L= 4, and e = 0.8. Select…

A: Consider the given graph.Let .To find the values of such that the following statement holds..

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Answer:-  2313 peoplesExplanation:Diseases tend to spread according to the exponential growth model.…

Q: 20. Given a = [3,-5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

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Q: Consider the graph of y = f(x). y 5 4 3 2 1 1 2 3 4 5 6 789 Identify the intervals from the graph…

A: 3&lt;x&lt;55&lt;x&lt;7Explanation:Given the figure, we are going to determine the intervals where…

Q: The area of a circle is decreasing at a rate of 547 square inches per second. At the time when the…

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Q: cos x - 1 f(x) = x

A: f(x)=A function y = f(x) is uniformly continuous at an open interval (a, b) if f(x) is continuous on…

Q: Consider the following. 16 (2x - y) dA, where R is the region in the first quadrant enclosed by the…

A: To evaluate the integral   use the following substitution.

Q: Let f(x) = 1. f'(x)= 2. f'(3)= tan(x) - 5 sec(x) Find the following:

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Q: →> Given a [2,-10] and 6 = [-8, 23], find: = →> a. 3a-26 b. a.b. C. a+b d. proj a e. The angle…

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Q: □ 28 -28 -8 8 | f(x) dx = 18. -2 8 3 5. Find [ f(2) ke 11 [ f(x) 6 f(x)dæ if dx = 10 and = -2

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Q: Suppose that f(x) = (x + 8)(x-8)². (a) Find all critical values of f(x). (Enter your answers as a…

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Q: Let ā= −i − 2j + 3k, b = i - 2j + 3k, c = −i +2j - 3k.

A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

Q: Find the limit

A: The objective of the question is to find the limit of the given expression as x approaches infinity.…

Q: Find the center of mass of a laminate bounded by y=−x,y=x,y=2 with variable density modeled by \rho…

A: The objective of this question is to find the center of mass of a laminate with variable density.…

Q: 7 sin x Let f(x) 6 sin x2 cos x Then f'(x) = The equation of the tangent line to y = f(x) at a = 0…

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Q: 5. Solve the differential equations below by using Laplace transformations.

A: Given:a differential equation with initial value-To find:solve the differential equation using…

Q: 22. Determine the area of AABC with vertices A(3, – 2, 4), B(1, 3, 2), and C(-1,2,4).

A:

Q: lim x→0 /2x²+5x4 X

A: To find the limit of the function x2x2+5x4​​ ​​ as x approaches 0, let's simplify it first.…

Q: 3. Find any vertical, horizontal, or slant asymptotes of the following functions. 7(x-3)(x+1) (a)…

A: To find any vertical, horizontal, or slant asymptotes of the following functions.

Q: Given that y = C₁ + c₂x² is a two-parameter family of solutions of xy" - y' = 0 on the interval…

A:

Q: In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 11 seconds…

A: The objective of this question is to determine whether the driver was speeding based on the given…

Q: Suppose that a density function is given by the formula 1 38 { 2 15 Find the probability that is…

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Q: = If the position function of a particle is given by the equation s(t) 3t²³ - 4t² + 2t - 1, where…

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Q: Please answer these three question using differential equation thank you

A: Please find the attached file for details....Thank you...Explanation:

Q: Find the volume generated by revolving the area bounded by y=1/(x^3+8x^2+12x), x=3, x=9, and y = 0…

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Q: Given the function f(x) = ― X 3 (a) Use the definition of derivative to calculate the derivative…

A: Answers are following in explanation step.Explanation:

Q: 10. Find (t) given that å(t) = −32j, v(0) = 600√√3ỉ + 6003, and 7(0) = 0.

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Q: Question 3 Find the derivative of f(x) = √√(x+1)(x+2) (2x + 3) at x = 0 using Log- arithmic…

A: To find the derivative of  at   by  using Logarithmic differentiation.

Q: A certain community consists of 3000 people, and one individual has a particularly contagious strain…

A:

Q: Explain why : exponential equations of the form y= a x 2 ^(b(x-h)) + k have no roots if: a) a0 and…

A: The given exponential equation is

Q: Please solve this old vector calculus problem by shpwing all the steps. Thanks!

A: The value of the double integral:∬D​∣∣∣∣​2​x+y​−x2−y2∣∣∣∣​dA=32−32​​ Explanation: Step 1: To compute…

Q: A vehicle purchased for $22,400 depreciates at a constant rate of 4%. Determine the approximate…

A: $12142.73Explanation:The given values are as follows-Vehicle purchased for $22,400Depreciates at a…

Q: Find the third derivative of f(x) = ebx (ebx + e³-bx), where b is a parameter, and calculate its…

A: f′′′(x)=8b3e2bxf′′′(0)=8b3   Explanation:

Q: The Integral Test: Suppose f is a continuous, positive, decreasing function on [1, 00) and let an =…

A: The objective of the question is to understand the importance of the function f(x) being decreasing…

Q: Consider the function h(x) x² 2x + 3,x € R. For what values of æ is the gradient of the curve of…

A: The given function is .The aim is to find the values of  is the gradient of the curve of  negative.

Q: find dy/dx for: y = sqrt(6+sec(pix^2))

A: The objective of the question is to find the derivative of the function y = sqrt(6 + sec(pi * x^2))…

Q: -1 1) [₁ x tan ‘xd.r Evaluate (a)

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Q: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg…

Q: Suppose that the marginal propensity to save is ds dy = 0.4 1 y + 1 (in billions of dollars) and…

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Q: CALCULATOR REQUIRED x g(x) 0 2 1 -3 2 5 3 4 Selected values of the twice-differentiable function g…

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Q: x e cos(x) dx Se

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Q: Determine the value(s) of 'k' so that the tanget to the function 3 y = (x² + k) ³ is parallel to y…

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