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Calculus

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Q: zoom for a better view

A: Given $2700 is deposited quarterly for 20 years at 4% per year.

Q: Find the derivative of the given function using the rules of differentiation

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Q: zoom for a better view

A: Given: The paying amount by corporate bond is $3000 and time taken is 12weeks with simple interest 0...

Q: Use the graph of f to determine the range of f. Where applicable, use interval notation.

A: Given:

Q: (fog)(x). f(x)=x2+4 and g(x)=x2-7

A: Given data: The first function is f(x)=x2+4. The second function is g(x)=x2-7. The expression fo...

Q: Find the surface area generated by rotating the given curve about the y-axis. x = 9t2, y = 6t3, ...

A: Given:x=9t2,y=6t3,0≤t≤5about y-axis

Q: Find r'(t) and antiderivative[r(t)]dt of: a. r(t) = <2tan(t), -sec(t), sin2(t)> b. r(t) = te3t...

A: (a) Obtain the derivative of r as shown below: r't=ddt2tant,ddt-sect,ddtsin2t =2ddttant,-ddtsect...

Q: Evaluate the following integrals.

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Q: Complete the following statement. If dy/dx is large, then smallchanges in x will result in relativel...

A: According to the question, we have to complete the statement, If dydx is large, then smallchanges in...

Q: Manipulate the graph to display the inverse of y = f(x) by dragging each given point on y = f(x) to ...

A:

Q: We are modelling the spread of the zombie virus throughout our class, and notice that it grows expon...

A: Click to see the answer

Q: Use the shown graph in Figure to find f(-2).

A: given: the graph of the function y=f(x).

Q: A force of 8 lb is required to hold a spring stretched 8 in. beyond its natural length. How much wor...

A: Given: A force 8 lb is required to hold a spring stretched 8 in. beyond its natural length.

Q: Tangent vectors Find a tangent vector at the given value of t for the following parameterized curve.

A: Given parameterized curve is rt=2t4i+6t32j+10tk Differentiating the given parameterized curve with r...

Q: to measure the height of the cloud over at an airport, a worker shines a spotlight upward at an aggl...

A: Click to see the answer

Q: Use the definition of partial derivatives as limits to find f(x, y) and fy(x, y). f(x, y) = 6xy2 - 6...

A: Consider the function: fx,y=6xy2-6x3y To calculate partial derivatives with respect to “x” using the...

Q: A store has two different coupons that customers can use. One coupon gives the customer $20 off thei...

A: Given data, original cost of goods = $400 Purchasing cost = $240 And 'f' be the function that inputs...

Q: Find the following limit:

A: Given limit expression is limx→47.

Q: 3x/4-1/3=1-2/6(x-1/8)

A: 3x4-13=1-26x-18 We need to solve the given equation.

Q: Calculus Question

A: 1

Q: Compute the following double integral over the indicated rectangle

A: ∫∫Ryey2-4xdA R=0,2×0,8

Q: C(x) = 200x + 46,000 and R(x) = −0.04x2 + 800x (a) Find the profit function P. P(x) = ...

A: Given: Cost function: Cx=200x+46,000 Revenue function: Rx=-0.04x2+800x

Q: How do I find the derivative of this function?

A: given: f(x)=3-xex

Q: Find the length of the curve. r(t) = cos(2t) i + sin(2t) j + 2 ln cos t k, 0 ≤ t ≤ π/4

A: Consider the length of the curve is, r(t)=costi+sintj+(lncost)k Then, r'(t)=-sinti+costj+-sintcostk=...

Q: A manufacturer produces a triangular lamina with a standard base andheight of 30 cm and 12 cm, respe...

A: we have been given the measurements of a triangle a base = 30 cm and a height =12 cm area of the wi...

Q: Evaluate the integrals

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Q: Calculus Question

A: Given: P(principal amount)=$10,000 r(annual interest rate)=0.1x12/100 ( because monthly int...

Q: If y = |x + 1|, find the value of y that corresponds to values of x for each integer starting with -...

A: Given y=x+1 We know that a≥0 We have to find value of y for corresponding to x for each integer from...

Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UN...

A: The given curve is, x2-y2=25 To find the slope of the given curve at (5,0) The slope of the functio...

Q: Solve the following IVP for the 2nd order linear equations y′′−4y′+9y=0 y(0)=0 y′(0)=−8

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Q: Use the given conditions to write an equation for each line in point-slope form and slope-intercept ...

A: According to the question, we have to find equation of a line which is passing through 3,5 and havin...

Q: Explain the best way to evaluate 900!/899! without a calculator

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Q: Let f(x) = 5x +7 and g(x) x2 + 2x – 63 • You must combine all like terms before you submit your answ...

A: (a) To find: The composition of the function fogx. Given information: The functions are gx=1x2+2x-...

Q: use l’Hôpital’s Rule to evaluate the limit

A: Click to see the answer

Q: In order to graph the line whose equation is y =2/5(x + 3), begin by plotting the point__________ .F...

A: Given: y=25x+3 To Find: (a). Start Point (b). Rise (c). Run Concept: Slopem=riserun

Q: What is the property of the function and its inverse? Graph the two functions show that f[f-1(x)] =x...

A: Given: f(x)=1/2(x-1)

Q: Question 8. Consider the surface defined by x² – - = 1. Draw the traces of this surface correspondin...

A: Click to see the answer

Q: Find the general solution of the first-order differential equation (x + y) dx − ...

A: To Determine: Find the general solution of the first-order differential equation by any appropriate ...

Q: Use vectors to show that the points form the vertices of a parallelogram. (2, 9, 1), (3, 11, 4), (0,...

A: Given: A=(2,9,1) ,B=(3,11,4),C=(0,10,2),(1,12,5) To Show: Given points form the vertices of a parall...

Q: (1) Suppose you lift a stone that has a mass of 5.2 kilograms off the floor onto a shelf that is 1 m...

A: Definition used- Work done w= F·d ...

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees. h...

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A...

Q: 27. I. = (7? + 4)³/2 - 8) × 14.55 } (x² - + 4)2 – 8) 2 14.55

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Q: For a nonnegative interger n, let the function fn be given (se picture) n! = 1 * 2 * * * n, with the...

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Q: A piece of cardboard measures10 in. by 15 in. Two equal squares are removed from the cornersof a 10-...

A: Click to see the answer

Q: Solve the given optimization problem by using substitution. Find the minimum value of f(x, y, z) = 2...

A: z=2yf(x,y,z)=2x2+2x+y2-y+z2-z-9f(x,y)=2x2+2x+y2-y+4y2-2y-9

Q: Times for a bank teller to serve a customer are exponentially distributed with a mean of 2 minutes. ...

A: Given that Times for a bank teller to serve a customer are exponentially distributed with a mean of ...

Q: Multiply: (7x + 5 + 4y)(7x + 5 - 4y)

A: Click to see the answer

Q: The greatest integer function is defined by [x] = n, where n is the unique integer such that n< x < ...

A: given: the greatest integer function [x]=n where n≤x<n+1 the given expression are: limx→-5.8+xlim...

Q: Use vectors to determine whether the points are collinear. (0, −2, −5), (3, 4, 4), (2, 2, 1)

A: A(0, −2, −5), B(3, 4, 4) & C(2, 2, 1) be the given points. Now vector joining the points A and B...

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region bou...

A: We first sketch the region using a graphing calculator.