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Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get in...

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...

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

A: The definite integral is given as

Q: Find the relative maxima, relative minima, and points of inflection and sketch the graph for the fun...

A: We have to find the relative maxima, relative minima, and points of inflection and sketch the graph ...

Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: Help on #2

A: To find the arc length of r(t)=i+tj+2tk in the interval [1,2]

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A: Click to see the answer

Q: Find the area, in square units, bounded above by f(x)=4x2 +9x−24 and below by g(x)=5x2+21x+3.

A: Given that, the area bounded above by f(x)=4x2+9x–24 and bounded below by g(x)=5x2+21x+3.Equate both...

Q: The total profit (in dollars) from the production and sale of x calendars if P(x)= 22x-0.02x2-500; 0...

A: It is given that, the total profit from the production and sale of x calendar is P(x)=22x–0.02x2–500...

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k To find the velocity ...

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Part d and e

A: (D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and...

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

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: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)= ex on the given interval [...

A: Definition used: Mean Value Theorem

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

A: We have to find limits.Question is given below:

Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...

A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).

Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...

A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: suppose the line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the line tang...

A: Given information:The line tangent to a graph of f at x = 4 is y = 3x+2 and suppose y = 5x -3 is the...

Q: Sketch the region of integration and evaluate the following integrals. Please refer to attached imag...

A: Click to see the answer

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: Click to see the answer

Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn i...

Q: 5 dx In 26 In 24 '을 In 24 글 In 26 none of the above

A: Obtain the value of the integral as follows.

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: For each of the following integrals, indicate whether integration by substitution or integration by ...

A: Known fact:Integration by parts:When an integral contains the product of two functions, then integra...

Q: Product Radius (inches) Height (inches) Volume (cubic inches) Baking power 1.25 3.65 ...

A: Assuming all the items are in cylindrical shape. Look for the coffee can: The volume V is 62.12 in3;...

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

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

Q: Need a,b, and c please!

A: The given equation is s = –0.2t2 + 12t and the velocity is v =12 m/s. a. Obtain the velocity v of th...

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)32t +53, where t is in second...

A: a)The given velocity function is v(t) = −32t + 53.In order to find the initial velocity, substitute ...

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by abo...

A: Click to see the answer

Q: Find the relative maxima, relative minima, and points of inflection, and sketch the graph of the fun...

A: Please see the white board for derivative of y, expressed as y'

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

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

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: Find the arc length of the curve below on the given interval 3 /2 on (0,10] y 2x Which of the follow...

A: Click to see the answer

Q: 13. A 13 foot sliding ladder is leaning against a house when its base starts to slide away. By the t...

A: We are given diagram as

Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.

Q: Only problem I'm stuck on for this assignment please help!

A: Hi there! The question is having many sub-parts. Since no specification is given, only first three s...

Q: The consumer price index (CPI) measures how prices have changed for consumers. With 1995 as a refere...

A: Given:The rate of change of CPI in dollars per year is dC/dt= 0.009t2 − 0.096t + 4.85, where t repre...

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: Let (0 ifx-5 f(x) 0 ifz 4 and 9(x)-f(t)dt 5 Determine the value of each of the following (d) g(5) (e...

A: The functions are given as

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: b) and c) I tried doing it the same way I did the first one...

A: we are given rate functions as

Q: Help me please..

A: The Taylor series for cosx at x=0.