Start your trial now! First week only $4.99!*arrow_forward*

Question

Use the limit process to find the area of the region between the graph of the function and the *x*-axis over the given interval.

y = 16 − x^{2}, [−4, 4]

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Consider the following. f(x) = x − 5 x2 − 25 ( Identify all intercepts. (If an answe...

A: Consider,

Q: Locate the critical points and identify which critical points are stationary points. f(x) = |sinx|

A: Given:

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. sin x 6...

A: Given integral is

Q: For children between the ages of 5 and 13 years, the Ehrenberg equation ln W = ln 2.4 + 1.84h gives ...

A: Given data;

Q: Find the derivative

A: Given,

Q: Differentiate y = V910x У 3

A: Write expression of y using exponent.

Q: If an object is thrown upward at 128 feet per second from a height of 36 feet, its height S after t ...

A: Average velocity in first 4 seconds is

Q: step by step please

A: Consider the given function.

Q: Differentiate the function F(t) = (ln t)2 sin t

A: Given function is,

Q: 2 Find the volume of the ellipsoid 2y 7z 16

A: Volume of the ellipsoid for the equation,

Q: The concentration, y, of a drug in the bloodstream t seconds after injection into a muscle is given ...

A: Given, The concentration, y, of a drug in the bloodstream t seconds after injection into a...

Q: 1 Q 2. Differentiate h(x) = (V+ -2 IX

A: The equation can be re written as,

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct ...

A: Given that the polynomial with real coefficients has a complex zero 9i. then by complex conjugate th...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =x/(x2-x+4),...

A: Obtain the first derivative of the given function.

Q: see attachment

A: x-coordinate of the point is

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line tange...

A: Slope of tangent line is ½. So the equation is of the form:

Q: Find the vertical and horizontal asymptotes. Find the intervals of increase or decrease. Find th...

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

Q: For what values of x is the graph of y =xe-2x concave down? values (Give your answer as an interval ...

A: Click to see the answer

Q: Find the derivative.

A: Click to see the answer

Q: Differentiate. f(x) = x2 sin(x)

A: To determine the derivative of the function.

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: Can you help me step by step?

A: Click to see the answer

Q: Use the given graph of fover the interval (0, 7) to find the following. (a) The open intervals on wh...

A: a) The first answer is wrong. Because the graph is in (0,7).So it is increasing in (0,1)U(3,7)

Q: Use integration by parts to evaluate the integral. ∫425 √x lnx dx

A: The integral is given by

Q: Calculate the double integrals 1. R xedxdy, R-[0,1]X[0,1]

A: To find the below double integral.

Q: Double check my answers, wasn't sure of the domain and range

A: Observe the graph and obtain the asymptotes if any.

Q: Why is f(0)=2 not included as an answer?

A: f(0)=2 is an end point. Because the domain is [0,7)So values on the left side of x=0 does not exist....

Q: When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past...

A: Differentiate F with respect to R to get

Q: And is the y intercept 2?

A: To determine the y-intercept

Q: Calculate the average rate of change of the given function f over the intervals [a, a + h] where h =...

A: Consider the function f(x) = 38·x2.To find the average rate of change of the function over the inter...

Q: Use Variation of Parameters to solve the differential equation. y"y tanx y C1cos xC2sin x - In secX+...

A: Result used:

Q: Differentiate the function (x + y)1/2 = x4 + y4 by implicit differentiation.

A: Click to see the answer

Q: answer these questions using the function, f(x) = 1 +(7/x) - (6/x^2)

A: We need to find second derivative of f(x)

Q: see attachment

A: Click to see the answer

Q: 1 0 -1 1. For what values of x does the function f have a local maximum on (0,8)? Answer (separate b...

A: Functions can have "hills and valleys": places where they reach a minimum or maximum value. It may n...

Q: Find the derivative using the following information.

A: To find the derivative of the square root of the expression

Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

Q: Can you help with this problem step by step?

A: The problem is concerned with the critical points (maximum, minimum) of the given graph

Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...

A: In case of a radioactive decay, the amount x after time t is given by x(t)=x(0)e−kt where x(0) is t...

Q: see attachment

A: Raise both sides to the power of 10

Q: see attachment

A: Click to see the answer

Q: see attachment

A: Simplify the argument to find the exact value

Q: Question 24 Which expression is equivalent to log, 8"? Select the correct answer below: log, 8 m. H ...

A: Simplifying the expression we get

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Finding derivative.

A: Given function can be expressed as

Q: I need help working this problem. I get stuck at this point. I think my algebra is failing with the ...

A: Given function: m(t)=2/(t-1)

Q: 65. Two runners start a race at the same time and finish in a tie. Prove that at some time during th...

A: Click to see the answer

Q: see attachment

A: Domain and range of sec(x) are