Question

Find the indefinite

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Help on #2

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

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: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

A: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

Q: 1) If an odd function h(x) has a local maximum value at x c, can anything be said about h at the val...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2 ]

A: Given:The function is f(x) = e−4x .Definition used:The average value of a function f(x) on the inter...

Q: how to find Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 7π/4

A: The polar curve I given as, r = θ2, 0 ≤ θ ≤ 7π/4.The formula to calculate the exact length of th...

Q: Please help

A: Since f(x0,y0) is minimum of f(x,y). Then g(0) is minimum of g(t). That means g(0)<g(t) for t any...

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: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: What two positive real numbers whose product is 56 have the smallest possible sum? Let S be the sum ...

A: Let x and y be the required positive real numbers.Given,

Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves t...

A: Please look at thediagram on white board. I have used the diagram from the question itself and marke...

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

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: (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: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: find the derivative of g(x)= 3x3- 2/ square root x you dont need to simplify answer, but use paren...

A: The given function is,

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: I need help for this.

A: Let S be the sum of the series we have to find. Hence, S will be as shown on the white board.

Q: The following integral is The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

Q: Suppose that the cost funtion for a commodity is C(x)= 300+6x+1/20x^2 dollars (a) Find the marginal...

A: The given Cost function for a commodity is C(x) = 300 + 6x + (1/20)x2.(a) To find the marginal cost ...

Q: Consider the following function. Without finding teh inverse, evaluate the derivative of the inverse...

A: Given information:The given function is .

Q: The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a tel...

A: Given information:Tyhe given function is cosh(x).

Q: C). Find an 'n' where Midpoint Rule would guarantee estimation within 6 decimal places.

A: Let's get the concepts in place, before we proceed to solve this.For an integral I (as shown on the ...

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A: Click to see the answer

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

A: The function is given as

Q: 8xy′+4(ln x)y)(4) +5x3 y′=−6x4 y−9xy″ What is the order of the differential equation shown above?

A: The given differential equation is, 8xy′ +4(lnx)y4 +5x3y′ = -6x4y - 9xy″.The order of the highest d...

Q: Help please..

A: We first calculate the value of cos x at x=0.5

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: Optimization Problem A rectangle is constructed with its base on the diameter of a semicircle with r...

A: a)Let x and y be the base and height of the rectangle, respectively.Given that, the rectangle is con...

Q: Is y=ex −5x−8 a solution to the initial value problem shown below? y′−5x=3+y y(0)=−7

A: The given differential equation is y=ex −5x−8.The solution of the deferential equation is given as, ...

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: Help w/ #6

A: The curve is given by ti+t2j+t3k.The formula to calculate the curvature of the curve is given by,

Q: Which of the following is the power series representation for g(x)? +8 OA. B. k 8 1 k 0 k 0 8k O C. ...

A: Note that the function g(x) is not provided (here option (c) can also be a power series). So, we are...

Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=...

A: It is given that rate at which the blood pressure decreases in the normal adult is dp/dt=–46.645e–0....

Q: Maximize f(x, y, z) = 2x + 7y +9z on the sphere x + y+z = 67. Additional Materials eBook

A: f(x,y,z) = 2x + 7y + 9z and g(x,y,z) = x2 + y2 + z2 Approach:We will make use of the method of Lagra...

Q: Approximate the area of the shaded region using the Trapezoidal Rule and Simpson's Rule with n = 4. ...

A: Given information:The value of n is 4.

Q: For the function y=x-1/3x^3 (a) Find the coordinates of the relative maxima, relative minima or hori...

A: (a) The function is given as

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

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

Q: 3x4 y‴+9x4 =5xy′+5x5 y″+9lnx Determine the order of the differential equation shown above.

A: The given differential equation is,

Q: y′=3x−2 Find the particular solution to the equation shown above that passes through the point (−10,...

A: Firstly, we separate the variables x and y, and then integrate both sides.

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either...

A: Step 1: Go to "Y=", then type in the function 3 + x − x2 Step 2: Go to "TBL SET" (2nd+WINDOW), the...

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: Write the iterated integral for a sphere centered at (0,0,0) with a radius of 2. Use the order dz dx...

A: From the given the sphere equation is x2+y2+z2=22.

Q: Please help me solve this differential equation and identify P(x), Q(x) and v(x).

A: First we rearrange the equation and find P(x) and Q(x)

Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...

A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...

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

A: Click to see the answer

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

A: The function is given as