Using the result of Exercise 50, prove that for all b (negative, zero, and positive), 64 x³ dx = 4

Q: find dy dx 3 1- %3= Xナメ+1

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Q: In order to develop a more appealing​ cheeseburger, a franchise uses taste tests with different​ 9 b...

A: number of different type of buns=9 number of different type of cheeses=7 number of different  type o...

Q: Identify a function f that has the given characteristics. f(–5) = f(4) = 0;  f '(-0.5) = 0,  f '(x) ...

A: f-5=f4=0, f/-0.5=0, f/x<0 for x<-0.5 & f/x>0 for x>-0.5. Since -5 & 4 are the ze...

Q: Examine the differentiability of the function f(x)=|cosx| at z 2 %3D

A: Given: f(x)=|cosx|

Q: 2х + 1 6. х — 5 VI

A: given that 2x+1x-5≤3 we need to solve this inequalities and find the interval in which x lies  2x+1x...

Q: In Exercises 5760, calculate the integral, assuming that f (x)dx = 1, f(x) dx = 4, f(x)dx = 7

A: It is given that, ∫01fxdx=1,  ∫02fxdx=4  and  ∫14fxdx=7

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.021² +...

A: S(t)=0.02t3+0.4t2+4t+5  

Q: Verify if it’s true (only change one side)

A: Given that: sin2θ2=secθ-12secθ

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round...

A: Consider the given equation: tanθ-516sin2θ-1=0 This gives us two solutions: tanθ-5=0 And, 16sin2θ-1=...

Q: The demand for monorail service in Las Vegas in 2005 can be approximated by q=−4500p+41500 rides per...

A: The demand for monorail service in Las Vegas in 2005 can be approximated by q=−4500p+41500 rides per...

Q: Find numbers a and b such that the given function g is differentiable at 1 g(x) = ax*3-3x, if x<=...

A: Consider the given function  gx=ax3-3x   if x≤1gx=bx2+2     if    x>1  

Q: Find the exact value of the remaining trigonometric functions of θ.

A: Consider the given graph tanθ=-34

Q: Suppose Ris the shaded region in the figure. As an iterated integral in polar coordinates, B cD /| f...

A: From the given Figure, it is observed that, Radius of bigger semicircle is 5 and radius of smaller s...

Q: Evaluate the expression without using a calculator. 1 log 4 16

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Q: Find the surface area of revolution about the x-axis of y=4x+1 over the interval 1≤x≤2

A: y=4x+1, 1≤x≤2 Differentiating with respect to x, we get dydx=41+0=4   

Q: hi i need help answering this question please

A: Given that  Height of ladder=10 ft Let θ be the angle between the ladder and ground. Then cosθ=x10  ...

Q: Question Use the Inverse Function Theorem to find (p¯1)'(2) given that p(x) = v-x – 7. Note that p(-...

A: Given: px=-x-7 and p-11=2, To find: p-1'2.

Q: Use linear approximation (or differentials) to estimate the given number. (Do not round your answer)...

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Q: Alvin had 4 dozen egg and his wife used 1 2/3 dozen of egg for cakes.how many dozen egg were left

A: It is give that Alvin has 4 dozen eggs.  First change mixed fraction into improper fraction 123=1+23...

Q: Find the area of the surface. The part of the paraboloid z = 1 – x² – y2 that lies above the plane z...

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Q: Find the measure of the side of the right triangle whose length is designated by a lowercase letter....

A: Given:            

Q: The figure is cut into 15 equal pieces. 3 of the figure. Shade

A: The figure is cut into 15 equal pieces. To shade 35 of the figure.

Q: how do you find the deriviative of:

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Q: True or False. If true, give an example. If false, explain why it is false and then provide the corr...

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Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is: y=...

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Q: Find the local maximum and local minimum values of f using both the First and Second Derivative Test...

A: Find the critical points for f(x) by equating the first derivative equal to 0 and calculating x for ...

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight p...

A: According to the question, we have to find the height of plane if it is taking off at an angle of 6°...

Q: I attached the question and the figure. thanks!

A: To Determine: If P(a,a2)is any point on the parabola y=x2,except for the origin,let Q be the point w...

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

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Q: 14.5.05

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Q: f the Mean Value Theorem can be applied, find all values of c in the open interval  (a, b)  (Enter y...

A: Consider the provided function, fx=9-x And the open interval is, -16,9 Using the mean value theorem,...

Q: Determine the point at which the graph of the function has a horizontal tangent line. f(x) =  x^2/x...

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Q: 13.7  4

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Q: Find the measure of the side of the right triangle whose length is designated by a lowercase letter....

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two ...

Q: A cylindrical tank with radius 8 m is being filled with water at a rate of 3 m3/min. How fast is the...

A: It is known that the volume of the cylinder is V=πr2h where r is radius and h is height. Given that ...

Q: Consider the set M = {m,a,{t,h},e,m,{a,t,î},c,s}. 1. What is the cardinality of M?

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and...

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Q: Solve the following initial value problems i) sinxdx+ydy = 0, y(0) = 1

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by;   f(t) =...

A: Given, The height (feet) of a ball launched in the air t seconds after it is launched is given by : ...

Q: Use the properties of exponents to simplify the expressions. -2 (a) -1 (b) (d)

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Q: please answer 13 and 14

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given that: The curve y = 7x6 and the line y = 7x  , x ≥ 0 ; about the x-axis.

Q: 14.6.07

A: the given function is f(x,y)=xy (a) ∇f(x,y)=∂f∂x,∂f∂y therefore, ∂f∂x=1y ∂f∂y=-xy2 ∇f(x,y)=1y,-xy2

Q: The radius of a sphere is measured as 4 centimeters, with a possible error of 0.025 centimeter. a. ...

A: Volume of the sphere formula is 43πr3 V=43πr3dVdr=43π·3r2drdV=4πr2·dr dr is the estimated error dr=0...

Q: This is a calculus 3 problem. Please explain each step clearly, no cursive writing.

A: Given: The quadratic surface z=x2+y2 and the plane x+z=2.5 intersect in a curve. To Find: Parametriz...

Q: -2 Find all real numbers a such that a = a Explain why this does not violate the exponential functio...

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Q: Part A & B?? please help and thanks in advance!

A: Consider the graph: y=fx So, the y- coordinate will be positive for every value of x. Hence, the gr...