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Q: Hello, find the exact value of each of the following under the given conditions. sin alpha=3/5, 0&...

A: We have to find value of tan(alpha-beta).Information is given below:

Q: 1000 Find the marginal cost when q = 10. 9 The average coste for producing q units of a product is g...

A: The average cost c is given by ,

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: How can I get the result? Which is the result?

A: a)Analytically complete six rows of a table as below.

Q: How can I get the result? Which is the result?

A: The function is given as

Q: Find the producers' surplus at a price level of p $51 for the price-supply equation below. S(x) 5+0....

A: Given price-supply equation is,

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: The growth of Mary's income is modelled using the continuous stream f(t)=3,000+0.05t2 where t is the...

A: Given:The growth of Mary’s income is represented by the continuous stream f(t)=3000+0.05t2.Here, t r...

Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2>...

A: The vector field is given as

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: How can I get the result? Which is the result?

A: Find the critical points.

Q: (2x-3)4 dx 10

A: Given:The integral is

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

A: We are given a function and a closed interval as

Q: Calculate the area, in square units, bounded above by g(x)=2x+4 and below by f(x)=3x+9 over the inte...

A: Area of region between g(x) and f(x) over the interval [-26,-23] is computed as follows.

Q: Let G=3f-g, where the graphs of f and g are shown in the figure. Find the derivative. G`(2)

A: G(x) = 3f(x) - g(x)we have to find the derviative of G(x) and x = 2

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3.

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,

Q: Use the graph off and f' to find the critical points and inflection points of f, the intervals on wh...

A: Finding the critical point

Q: If given the differential equation y''-4y'+4y=et, is there a way to solve it for possible solutions?...

A: we are given a differential equation as

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: lim x→3(2x3 -12x2 +5x+3)

A: We have to evaluate the limit as shown on white board.Let’s call (2x3 - 12x2 + 5x + 3) as f(x)

Q: y′=−3x+9 Determine the particular solution to the differential equation that passes through the poin...

A: The given differential equation is y’ = –3x+9.

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: The given curve is y = x^2/3, x=1 and y=0.

Q: Let g(s)=(e^s)/s+1. Find g''(s).

A: At the outset, I want to spell out that the way you have written g(s), it can have one of the two in...

Q: how to find Find the area of the region enclosed by one loop of the curve. r = sin(4θ)

A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point such that r 0 ...

A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0, d...

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

Q: Logarithmic Differentaition - see attachment

A: Given information:The given function is

Q: Use logarithmic differentiaion to evaluate f`(x) f(x) = (5x)^(ln 5x)

A: Click to see the answer

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2 + ∂2z ∂y2 = 0...

A: Given Laplace’s equation is

Q: Use Green's Theorem to evaluate the line integral. Assume curve is oriented counterclockwise. C is t...

A: Let's compare the given integrand with the standard form.(2x + ln 2)dy - (8y2 + sinhx)dx =Q.dy + P.d...

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: Usel'Hôpital'sRule to find the following limit.

A: To use L'Hopital's rule we try to get 0/0 form or infinity/infinity form first. We write x^2*cotx as...

Q: Find the domain: g(x) = ln(e^x -5)

A: The domain of ln z is z>0. We'll use the same concept here. So e^x-5>0.

Q: Find the area, in square units, bounded above by f(x)=6x2 −2x−19 and below by g(x)=7x2 +12x+21.

A: f(x)=6x2 −2x−19 and g(x) = 7x2 +12x+21.As a first step, we need to find the point of intersection of...

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: How can I get the result? Which is the result?

A: The function is given as

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

Q: At the indicated point for the function, find the following. You may use the numerical derivative fe...

A: Given information:The given function is

Q: How can I get the result? Which is the result?

A: To find the equation of the tangent line approximation T to the graph of f at the given point.The gi...

Q: Find the values of the convergent series [from k=4 to infinity] E (2/3)3n-1 (-4/7)2n+3 *that E just ...

A: Given information:The given convergent series is

Q: Differentiate y = (s - sqrt(s) ) / s^2 I don't understand what happens on step 3 of the screenshot...

A: Here use quotient rule of differentiation which is,

Q: Do the domain of the following function:

A: Consider the provided function.