If y = tan ¹(x³ + 14x), then 2 Əx

Q: Which of the following statements is false? AA function is not differentiable at x-a when it is…

A: NOTE: Refresh your page if you can't see any equations. . conditions for the differentiable…

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: lim x to infinity (square root 4x^2+x-2x)

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Q: -10 -8 Challenge #7: Sketch the derivative of the function, h(x). T √ -6 -4 S -2 -6- 4 --2- 0 -2 -4.…

A: when x<-2h(x) is constant

Q: following exercises, assume that f(r) and g(x) are both differentiable functions with values as…

A: Given query is to find the derivative of the function.

Q: A particle moves along a straight line with e velocity speed f(t) = 15 + 48 t + 1 m/s m/s

A: Oh

Q: If y = (Inx)² + 15, find dy dx

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Q: Write the equation of the line that passes through the given point and has the given slope. 5 4 (-1,…

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Q: B Let f(x) = xsec(x). Find f'(x) f'(x) = secx(xtanx + 1) f'(x) = −secx(xtanx+1) f'(x) = secx(xtanx −…

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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: According to Ohm's Law, current I (in amps), voltage V (in volts), and resistance R (in ohms) in a…

A: According to Ohm's lawI=VR

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: The population of deer in a forest can be modeled by 630 +2960 P(x) = 3x + 8 where x is the number…

A: According to our guideline we are supposed to answer only the first 3 sub-parts of the question. If…

Q: Use the figure below to estimate the indicated derivatives. If a derivative does not exist, enter…

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Q: 70-5 10 Problem 8: Find f'(x) - 9 f(x) = x 5+1 X ³-1

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Q: Find the slope of the second equation. 4x - 9y = -9y = y ])x+ So the slope of the second equation is…

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Q: For the given function find the average rate of change over each specified interval. f(x) = x2 + x −…

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Q: Question Determine the intervals over which the function shown below is continuous. Enter your…

A: To determine the intervals over which the function shown below is continuous.

Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows

Q: 8x² - 2x 1.58x²2x = X³ 3 dx

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Q: Given the graph of y = J(2), shown as a red dashed curve, drag the green movable points to draw the…

A: given graph of y=f(x)  as a red dashed curve

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: Question Find the points at which the following function is discontinuous. 6x²+1 f(x) = -5x -5 if x…

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Q: AREA Find a function that models the area A of a circle in terms of its Circumference C. Really…

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Q: (g) Use V (2) and V ′(2) to estimate the value of V (2.1). (h) Find the maximum number of people…

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Q: Modeling with Functions 1. VOLUME A rectangular box has a square base. Its height is half the width…

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Q: Minimizing a SUM Find two positive numbers whose sum is 100 and the sum of whose squares is a…

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Q: PERIMETER A rectangle has an area of 16m^2. Find a function that models its perimeter P in terms of…

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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: Let f(x)=√x+1 Find and simplify the difference quotient: ○ (x + 1)² 1 2√x+1 1 √x+1+√a+1 1 2√x+1…

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Q: XT f(x)=8+x+tan ( -). Find f-¹(f()). Round/truncate your answer to three decinal places.

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

Q: The logistic growin P(t) = is used to model population growth, where Po is the initial population at…

A: Given : P0=1500K = 1000r0=0.1P=90%P=0.9P=0.9*1500=1350

Q: a. J(a) Problem 9: Draw the derivative of the function -10 11 F3 -5 10 10 0 -5 -10 V F5 5 F6 10…

A: We have to draw the graph of f(x) derivative by see it's original graph f(x).

Q: d [f(x) dx g(x). Let f(x) = 6 and g(x) = ln(x). Find-

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Q: choose the correct answer If you toss a coin 3 times, what is the probability of getting 2 tails and…

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Q: The graph of y = f(z) is shown in blue. Draw the graph of y = f(2), shown in red, by determining how…

A: Given Graph:-

Q: how do we know when to use a trig subsitution?

A: how do we know when to use a trig subsitution?

Q: Evaluate the following limit Answer: 2e^e limx→e You must enter a valid number. Do not include a…

A: Use L Hospitale rule

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

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Q: Find for y = 6sin²(2x). Əy 3x

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Q: (b) -6 -4 -2 y 4 2 -2 2 4 6 x ①

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Q: Rewrite the quadratic function in transformation form. h(x) = 2x² + 8x - 5 h(x) = Give the vertex. (…

A: Here we have to write inthe standard form

Q: Given f''(x)=6x-6 and f'(-2) = 3 and f(-2) = - 3. f'(-2) = 3. Then solve for C, giving you the first…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8 lim (x, y) (0, 0) x 3 xy…

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Q: 17. = (t+1) ² to dt

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Q: a. f(x) = √x 2 b. g(x) = √x²

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

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Q: Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

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

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