Function g:

Q: If g'(0) = 7 and f(x) = 2g(x) - 4ex - x² + 3x, what is f'(0) [A] 13 [B] 11 [C] 14 [E] 17-4e [D] 17-e

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Q: 1 An initial deposit of $1200 earns 10% interest, compounded monthly. How much will be in the…

A: If initial deposit= $p, rate of interest=r%, time of deposit=t, interest is compounded n times a…

Q: Compute the integral (a) sin(x) dx by letting u = x. (b) e/2dx by letting u = x/2. Show that you got…

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Q: Consider the function Compute fx(1, 2) and fy(1, 2) f(x, y) = 3x²y + 5x²y²

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Q: x y -[X]. if t Find A = x 6 [*][*][*] -1 2t 3 4 x+y z+t 3

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Q: lim h0 x + h - Vx h

A: The answer is given below:

Q: (A) If y = 5x x² - 4 dy dx dy dx dy dx dy then = dx −5x2 — 20 (x² - 4)² 5x2 – 20 (x²-4)² −5x2 +20…

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Q: 4. 5. cy² = x² + y x = A sin(wt + ß); w a parameter, not to be eliminated

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Q: The curve y = ax²+bx+c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: See this solution in below.

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) d dx (-9x³ + 4x² - 7x)…

A: Topic - derivative of a function. we are given function:-9x3+4x2-7xand we know thatddxxn=nxn-1

Q: Graph the following system of linear inequalities.     3x − 2y   ≤   4 −4x + y   >   −6

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Q: QUESTION 3 State the domain of: f(x)=√3-1-√2+t O [-2,3] O (-∞, -2) U (-2,3) U (3, ∞ ) O [-3, 0⁰0) 0…

A: Domain:- All those input values of a function such that function at those values exists.

Q: Challenge #6: Sketch the DERIVATIVE of the graph shown here. T √ -10 ✓ -5 S 10 0 -5- 5 10

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Q: Using the information provided, which of the following is a conjecture could be proposed from the…

A: Using the information provided, which of the following is a conjecture could be proposed from the…

Q: Find a function f such that f'(x) = -5x³ and the line x + y = 0 is tangent to the graph of f. f(x) =

A: Topic- function and its derivative we are given, f'(x)=-5x3 tangent line to the f is x+y=0

Q: 2. Find each limit if possible. If the limit does not exist, from +∞-∞ or DNE. You give the best…

A: Since you have asked the subpart question and part a is already answered, I am answering the…

Q: Find the derivative of the function using the definition of dervivative. State the domain of the…

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Q: Consider the function g(x) = a sin²(x)+1 kx+1 2x+1 if x T 2

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Q: 2. Solve each problem : (a) Find an equation of the line that passes through the point (-3, 4, 2)…

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

Q: Find the area of the shaded region. 72 e-1 على E -1.0 -0.5 14 12 10 y= 5e/ 8 0.5 (1, 5e) y=5xex² 1.0…

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Q: 5. Give a rough sketch of the quadric surface y = −x² − z² + 5.

A: since the given surface is 3d so it need to be plot on 2d on paper by assuming z=1

Q: Identify the parent function of f(x)=-4 |z-2.

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Q: As a car ages, its value decreases. The value of a particular car with an original purchase price of…

A: we need to answer the questions from the given function

Q: Evaluate the limit. 2³ +1 lim 1+1 (x + 1)³

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Q: Find the domain, range, intercepts, symmetries and asymptotes of the following function 1. y = x³

A: 1. y=x3 Since you have posted multiple question in this question which are not interlinked so i have…

Q: Given the graph f(x) = || shift the two movable dots to display the following function:…

A: The graph of f(x) = |x| is given as

Q: Given the curve r(t) = (cos 3t, sin 3t, 2t) Find the following unit vectors and simplify your final…

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Q: Evaluate the following limit limx→e HI -e x-e

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Q: Solve the differential equation below cos √y 1 dy 2√y tan x √4 + sin² x TU for 0 0, 2 and identify…

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Q: imat ******* w Orleans, Louisiana, and Memphis, Tennessee, lie approximately on the same meridian.…

A: New Orleans has a latitude of 30∘N  and Memphis has a latitude of 35∘N  Find the distance between…

Q: Consider the function. f(x) = x R(x) + Q(x) Identify the derivative f'(x). f'(x) = xR'(x) + R(x) +…

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Q: du 3x at (x, y, z) = (²) Hint: Q2/ Find for u = eab sin-¹ q where q = sinx, a = q=sinx, a = z²lny, b…

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Q: Write the equation of the line that passes through the given point and has the given slope. (-3, 3)…

A: Given the slope is undefined.

Q: 9 321 -7-5-5-4-3-2-11 4567234 -4 -5 1 2 3 4 5 6 7

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Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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Q: Let f (x)=√√3-x and g(x)=√x²− 1 Find f+g and state its domain O√3-x + √√x²-1 Domain: (-∞0,3) U (3, ∞…

A: f(x)=3-x, g(x)=x2-1f+gx=? Remember : f+gx=fx+gx

Q: Let G(x) = = - 7x + 12 |3 - x| + |x-1| for x = 3.

A: The given function, Gx=x2-7x+123-x+x-1 for x≠3 We have to simplify the function Gx on the interval…

Q: Projectile Motion The range R of a projectile is vz R= (sin 20) 32 where vo is the initial velocity…

A: Need to find out the change in the range.

Q: Expression for the inverse of f(x) = e^(3x+1) f^-1(x) =?

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Q: Find the limit: (-3 Note: You 0 this problem lim t-0 -3t t -1 4.6 t7t6 7 8+ t

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Q: r2 Find y" if y=3(1-5x²) 4- 2 - 5r – 8

A: second derivative of function is given below

Q: Determine that each equation is a solution of the given differential equation. d²y y = A sin 5x + B…

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Q: An object moves along the curve with equation y -122²³-1/72²+1/2/20 + 5 42

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Q: Find an equation of the tangent line to the curve at the given point  *please use handwriting not…

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Q: Given f(x) = 4x + 1 and g(x) = 3x – 4, find- [] d [f(x)] dx g(x) (A) 2 d [g(x)] dx f(x). d [g(x) dx…

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Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁= 3 and x₂ = 5.…

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Q: A ball is thrown into the air. Its height in feet seconds later is given by s(t)=40t - 16t² Find the…

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Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: when to use a trig subsitution?

A: Please see the below solution.

Q: Tutorial Exercise Write the equation of the line that passes through the given point and has the…

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