Calculus Question

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 8x + 14x + 10x 2x +3 ...

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Q: 14.5.07

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Q: Without drawing a graph, describe the behavior of the basic sine curve.

A: The maximum value of sine curve is 1 and minimum value is -1. The period of sine function is 2π. The...

Q: logb bx =________

A: We have to find the value of expression: logbbx From the property of logarithmic, loga+logb=logablog...

Q: 14.5.31

A: Consider the given information, The given functions are x=6+t, y=1+13t. The chain rule is defined as...

Q: A commodity has a demand function modeled by p = 112 - 0.5x and a total cost function modeled by C =...

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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: Evaluate the expression without using a calculator. 1 log 5 25

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your answer...

A: Consider the function: hx=7x+125                                                                    ...

Q: A particle moves along the curve below. y = 3+x3 As it reaches the point (1, 2), the y-coordinate ...

A: According to the question, we have to find the rate of x- co ordinate changing if a particle moves a...

Q: Hi need a step by step break down please.

A: Given,            y = f(x) = 5x - 1

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: diffelentiate y= In(登) 2X 3.

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Q: Given the function f: R-->R  Show that f(t) i derivable

A: The given function is ft=tan-1tt, t≠01,           t=0. We say that a function f is differentiable at...

Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation x...

A: Consider the following: A) Let Price be p and demand be x. Given:x=3000-10px+10p=3000-10p+10px+10p=3...

Q: Use the graph of the function f shown to estimate the indicated limits and the function value. a. li...

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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: From a club of 25 people, in how many ways can a group of six members be selected to attend a​ confe...

A: In how many ways a group of six members can be selected from a club of 25 people.  

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

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Q: What makes this solvable?

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Compute f'(a) in two ways, using Eq.(1) and Eq.(2). f(x) — 6х3, а %— 2 lim h→0 f(a + h) – f(a) h f'(...

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Q: It is easiest to graph y = 3 csc 2x by first graphing y =_______ .

A: for drawing graph of y=3cosec2x, we first draw graph of y=coesc2x after that graph of y=3coesc2x wil...

Q: Graph the given function by making a table of coordinates. f(x) = 2" Complete the table of coordinat...

A: Answer and explanation is given below

Q: Determine the amplitude and period of the function y = cos 2x. Then graph one period of the function...

A: Given: y=cos2x -------------------------------------------------------------------------------------...

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

A: here the given function  fθ=8 sin θ-θ Differentiate the given function with respect to θ as f'θ=ddθ8...

Q: A stone is tossed in the air from ground level with an initial velocity of 15 m/s. Its height at tim...

A: Average velocity is given by: Avg. Velocity=Final position - Initial PositionTime taken We have, Ini...

Q: please answer 12-14

A: Hey, since there are multiple questions posted, we will answer first question of 12 to 14. If you wa...

Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

A: First, calculate the x any y intercepts for g(x). gx=xtanx such that −3π2<x<3π2For x−intercept...

Q: A deposit of $25,000 is made in a trust fund that pays 6% interest, compounded continuously. It is s...

A: A deposit of $25,000 is made in a trust fund that pays 6% interest, compounded continuously. So, P= ...

Q: Find the volume V of the described solid S. A cap of a sphere with radius r and height h

A: Given that: A cap of a sphere with radius r and height h:

Q: how to solve (i) (ii) (iii)

A: Given: Volume of a spherical CellV=43πr3r is measured in micrometersμ To Find: (a). Average rate of ...

Q: The function P(t) gives the number of people at the zoo t hours after it opened at 11 am. (a) What d...

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Q: Find the exact location of all the relative and absolute extrema of the function. f(x) : = x In(x) w...

A: Given function, fx=xln(x)

Q: What must be done to solve this?

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Write the equation of the parabola in standard form. Vertex: (-3, -4); The graph passes through the ...

A: Standard form of a parabola: (x-h)2=p(y-k)2        ...(1) Where (h, k) is vertex of parabola.

Q: h=(−7+7x−3x2)(−6x3+4x6−9x7). Then h=fg where f=? and g=?   Using the product rule h′(x)=?

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: Suppose f(z) = væ + 7. Determine the average rate of change of f over the following intervals. %3D a...

A: Find the average rate of change of function. Average rate of change = change in ychange in x        ...

Q: The profit per acre from a grove of orange trees is given by  x(290 − x) dollars,  where x is the nu...

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Q: Solve for the value of c in the equation:dy/dx+ycotx=5e^cosx when y(π/2)=1

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Q: please help

A: Obtain the derivatives as follows: f'x=ddx3x2+11-x23       =3x2+1ddx1-x23+1-x23ddx3x2+1       =3x2+1...

Q: Use synthetic division to divide f(x) = x- 4x + +6 by x + 1. Use the result to find all zeros of f. ...

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Q: A trough is 8 meters long, 3 meters wide, and 3 meters deep. The vertical cross-section of the troug...

A: Given information: Long 8 meters Wide = 3 meters Deep=3 meters Density =1000 kg/m3 Formula used : Ar...

Q: help for 38 please

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Q: Suppose f(x)=15x+8.5f(x)=15x+8.5. Write an expression in terms of xx and hh that represents the aver...

A: Average rate of change of fx in interval a,b is given as: Average rate change=fb-fab-a. We have give...