f(x) Consider the function h(x): x+1' Give the formula for the derivative h'(x).

Q: If f(4) = 13 and f '(x) ≥ 1 for 4 ≤ x ≤ 7, how small can f(7) possibly be? Need Help? Read It Watch…

A: See this solution in below.

Q: Determine the value of (gof)(-1) when x+3 f(x) g(x) = x² - 1. T

A: Topic = Functions

Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…

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A: The given curve is  r(t)→=4cos(2t), 4sin(2t), 2t

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A: Topic - Inflection points and concavity  of a function We are given, f(x) = (x^2−3)e^x we know that…

Q: O Add and simplify. Ei (-8p'+4p5-8p+9)+(-6p² + 8p³ + p²) Check Answer X Ⓒ2022 Mc

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Q: Oct 23, 9:35:15 PM A particle moves along the x-axis so that at time t 0 its position is given by…

A: Given query is to find interval where speed is decreasing.

Q: Evaluate the function for the given values of x. h(x) = Part 1 of 5 3 for -3 <x<-2 2 for -2<x<-1 1…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y=x√√√5-x² dy= -2x² + 5 5-r

A: Given function:- y=x5-x2

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Q: Differentiate f(x)= In(sin^2 x). f'(x)=? Please answer ASAP and write neatly thank you.

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Q: 2. Find the general solution to the following DE, showing working dy dz = 3√ry.

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Q: Find the solution to the boundary value problem: The solution is e¹ cos 2t + ܘܢܢ e sin 2t d'y dt² dy…

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Q: Find the exact length of the curve. y = (1 + x²)3/2, O 18 3 22 3 20 3 10 3 0≤x≤2

A: The given curve is  y=23(1+x2)3/2,       0≤x≤2

Q: J 1 (4-x²)3/2 dx

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface y =…

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Q: ******** ********* *********** Verify that the function satisfies the three hypotheses of Rolle's…

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Q: Please solve ASAP. Show your complete solution. 1. The length of latus rectum of a hyperbola is 18…

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Q: Consider the region bounded by the curve y = 27x − x4 and the x-axis.  Find the exact area of the…

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Q: Find x. Round your answer to the nearest tenth of a degree. 44 X 24 -0° x =

A: We have given a right angle triangle  From given triangle  Perpendicular (p) = 44 Base(b) = 24 Using…

Q: Find the area of the shaded region: 6 y=x²-15 x 64 -128 128 2 20 10 -10 -20- 2 4 y=x 6 X 0

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Q: Olim f(x) = 3 x-2+ lim f(x)=0 -I--2 Olim f(x) = -2 →-3+ lim f(x)= does not exist →2 lim f(x)= does…

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Q: The instantaneous rate of change of the value of a certain investment (P) is proportional to its…

A: We have given  dPdt=r P If r= 8 and P(0)= 5000, then Find P(t).

Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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Q: How did you get the rewrite from sin^2(x)/sqrt(1+cos(x))

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Q: (A) Eliminate the arbitrary constants. 1. xsiny + x²y = c 2. ax² + x + y² = 0 3. y = cx + c² + 1

A: Derivate the given equations to remove the constants.

Q: y'-(3+anx)y = 1

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Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis.  Use Simpson’s Rule with six…

A: Here,             We have given a function now we have to find out the area bounded by the given…

Q: -1 tan¹ n n

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: ************** The length of a rectangle is increasing at a rate of 9 cm/s and its width is…

A: Given the following values of a rectangle, length, l=7cm and width, w=4cm rate of change of length,…

Q: Use regression to find an exponential equation that best fits the data above. The equation has form…

A: use the calculator to find the exponential regression in your calculator press STAT select edit by…

Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: A woman attached to a bungee cord jumps from a bridge that is 26 m above a river. Her height in…

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Q: x3 Find the absolute maximum and absolute minimum of the function f(x) = 3 Provide your answer…

A: The given function is  f(x)=x33-7x22+10x-6,       0, 4

Q: Find the derivative of the function g(x)=(x^2+4x+5)e^x g'(x)= Please answer ASAP and write neatly…

A: To find the derivative.

Q: If a company spends r million dollars on research, it sales will be s million dollars, where r and s…

A: If a company spends r million dollars on research, it sales will be s million dollars, where r and s…

Q: 1. A block of wood 10 ft from the bottom of a long, very smooth inclined board slides downward (from…

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Q: Find the first order Differential equation of (x-2)y'=y+2(x-2)^3

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Q: Sketch the plane curve. (t)-4-. (0,4) y V 10 15 V 10 15

A: Sketch the plane curve

Q: 2. A catapult launches an object vertically upwards and after t seconds its height meters above its…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=0, lim f(x) = ∞o,…

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Q: 2. A cellphone company charges Php 25 for at most 2gb of data used in a month, and an additional Php…

A: The answer is in step 2.

Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: The answer above is NOT correct. Find the solution to the boundary value problem: (e^t) [cos (2)…

A: The given equation is; d2y/dx2-2dy/dt+5y=0, y(0)=1, y(pi/4)=5.

Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0