Find the derivative of the function. f(x) = (x3 − 10x)(3x2 + 2x)

Q: Let f(x)=4x^3−2.5x+1 In this problem you will estimate f′(−3) by computing the average rate of…

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Q: 4 Jxdx = 1

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Q: 1)Find where continuous at constants a) Let f(t) = 2t √t+c for t < 2 for t≥ 2 Find c such that f is…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the derivative of the function. f(x) = 4x2 (x − 8)

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Q: Find the acute angle (in degrees) between the planes -−3x – 2y + 2z = 9 and 2x − y + z = 2.

A: Given planes:- P1: -3x-2y+2z=9P2:2x-y+z=2

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: To find equation of tangent line.

Q: = FB 2. How are adding vectors and subtracting vectors similar and/or different? Use diagrams to…

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Q: 1) Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank stands vertex…

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Q: Find lim f(x) x-2+ OA. 1 OB. 2 O C. -2 Find OD. 4 OE. The limit does not exist. lim f(x) x-3 -st OA.…

A: Topic -Limit of a function We are given graph of a function.

Q: 2. Find all Horizontal and Vertical Asymptotes of the function f if it exists. answer. f(x): 2x²5x-3…

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Q: If f(x) = 3 + Find f'(4). Find f'(x). Find f"(4). 08 + x2 > find f'(x).

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Q: Using partial derivatives, which one is equivalent to dz/dt, given z = x² + 3xy + 5y²; x = sin t, y…

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Q: 5 dx √-x²+10x-24 4. S; dx

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Q: A person starts walking from home and walks: 5 miles East 6 miles Southeast 5 miles South 2 miles…

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Q: 2) Air is being pumped into a spherical balloon at a rate of 4.5 cubic feet per minute. Find the…

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Q: Match each of the first order differential equations below with the corresponding lope field. No…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve y = 5 sec x and…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Given query is to find the interval where function is concave up and down.

Q: Evaluate Jx sec²(ax²)dx.

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Q: It takes 1400 J of work to stretch a spring from its natural length of 1 m to a length of 3 m. Find…

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Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order…

A: Given :fx,y=x3-3xy-y3

Q: classify and sketch the following surfaces

A: Sketch of the surface:

Q: 3. Determine la + b | based on the diagram shown if |a| = 6 and bl = 8.

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Q: 000 00 The revenue and cost functions for a particular product are given below. What is the profit…

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Q: 1. Evaluate the following limits if they exist. If the limits do not exist, write DNE. Show your…

A: Introduction: AS per the guidelines i have to solve only first three sub-parts. For more solutions…

Q: Evaluate [f'(3-2x) - 4] dx

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Q: 5. Sketch the solid in the first octant that is bounded by the graphs of 22 +22= 9, y = 2x, y = 0…

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Q: e the graph to find the following limits d function value. lim f(x) →3 lim f(x) lim f(x) (3) Find…

A: Given query is to find indicated limits.

Q: Evaluate lim √x+1. x-1+

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Q: Use properties of integrals to prove that 10/09 kim x tan x dx ≥ 0

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Q: 6x + 7 -dx. S₁ (x + 2) 2dx 6 In |x + 2) + 5(x + 2)−1 + C O 6 In |x + 21-5(x + 2)−1 + C Evaluate O 5…

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Q: Find an equation of the line that (a) has the same y-intercept as the line y - 3x - 11 = 0 and (b)…

A: Let the slope of required line be m1

Q: Find the average rate of change of the function f(x) = 9x from x₁ = 0 to x₂ = 3. The average rate of…

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Q: Find x³-4x² + 40x+127 (x²+25)(x − 4)² - I da

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Q: Find y' implicitly if 5y² + In(x + y) = x²

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Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: how to find the bounds of y=sin(x) y=cos(x) x=0

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Q: person is pulling a boat into dock with a rope. If the person is pulling from a height of m above…

A: Given query is to find rate of Change.

Q: Give the average rate of change for ƒ(x) = and x = 0. x² 8x13 between x = The average rate of change…

A: The average rate of change of function over the interval x=-2 and x=0 would be calculated by…

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. lim F(x) X→-4 What…

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Q: c) Find f'(x) by determining limi h-0 d) Find f'(-4), f'(0), and f'(1). These slopes should match…

A: Graph of (a)

Q: TT 35πt 128 ,1 - π is the correct value of the integral f sin³x dx. Use the to find the correct…

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Q: Show that 2x = 1 (Mod 10) has NO solutions. Show work

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Q: The area bounded by the curve r=@cos@ and the lines 0=0 and 8

A: The given curve is: r=θcosθ The lines are θ=0, θ=π2

Q: FIGURE 3.6 The graph of the solution found in Example 4, y(t) = 2 cos[t - (4/3)]. The identity…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: A moving particle starts ✓ (0) = (0,0,07 It's Find 2 Given acceleration its velocity f(tu) is with…

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Q: Population Growth A major corporation is building a 4,325 acre complex of homes, offices, stores,…

A: p(t)=45t2+125t+100t2+6t+50given p(t) is in thousands

Q: 10. x² + 8x - 3 x³ + 3x² - dx

A: We need to find out the integration.

Q: Question 4 Let f(x, y) = 2x4+ y4. Find the slope of the surface z = f(x, y) in the x-direction at…

A: The given function is: fx, y=2x4+y4 To find the slope of the surface z=f(x,y) in the x-direction at…