Question

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Find the area of the region bounded by x = y^2 - 2, y = ln x, y = -1, and y = 1. Sketch the region.

A: We graph the functions first. We need to find the area of the shaded region.y=lnx => x= e^y

Q: Find the given derivative by finding the first few derivatives and observing the pattern that occurs...

A: Find the given derivative by finding the first few derivatives and observing the pattern that occurs...

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

A: Given,

Q: 7. According to a simplified economic model, the purchasing power of 1 dollar in the 2000t is equal ...

A: 2000+t=2020So, 20 years.

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. ∫2x8ex3...

A: Take the constant out of the integral sign,

Q: Find the derivative of

A: Given,

Q: Differentiate the function T(z) = 2z log2 z.

A: The given function is,

Q: 1 on the interval [1,4], verify that f(x) satisfies the hypotheses of the Mean Value Theorem on For ...

A: To verify the hypotheses of the mean value theorem and find all numbers c that satisfy the conclusio...

Q: please answer the questions provided in the image for the function: f(x) = 1 + (1/x) - (1/x^2)

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

Q: Find the intervals of increase or decrease. Find the local maximum and minimum values. Find the ...

A: Given:

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

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

A: Click to see the answer

Q: X Document1 - Word AutoSave evie tucker Off ET Design References Mailings Share File Insert Review V...

A: due to slope is 0 .

Q: see attachment

A: Domain and range of sec(x) are

Q: Find the derivative using the following information.

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

Q: check my answer 5x+3y=-6 x=3 2x-3y=27 y=-7

A: Given system of equations are

Q: Use partial fraction decomposition to evaluate the integral. ∫6x2-13x+3/x2(x-3) dx

A: Refer to the question we need to find the integration using partial fraction for the provided integr...

Q: Please answer question a, d, e, for this function: f(x) = 1 + (1/x) - (1/x^2)

A: The given function is

Q: Find the derivative.

A: To compute the derivatives of the composite functions from the given data

Q: My Notes At 8 P.M. an oil tanker traveling west in the ocean at 16 kilometers per hour passes t...

A: Oil tanker is at the origin at 8 pm travelling west at 16 kmh. So if we assume x axis to be pointed ...

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: Can you please answer number 3

A: Domain is the x values on the graph for which we get a y value. On the picture it shows the x values...

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: Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How fast ...

A: Given, Radius of the tank (r) = 5m and rate of filling the tank is 1.25m3/s.Now,

Q: Determine if the series below converges or diverges using either the Test of Divergence or Intergral...

A: Integral test:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A: Click to see the answer

Q: Sketh OF the fnCH #23 Sketdh the graphof te fungian Foxiy=Y 1/4

A: The given function is

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,

Q: The marketing division of a large firm has found that it can model the sales generated by an adverti...

A: From the given information, it is observed that the aim is to find the ds/dx at the point x = 12.

Q: Evaluate the definite integral from 0 to 1 of dt/sqr(t^2-6t+13)

A: Given integral is

Q: Find the absolute maximum and minimum values of f on the given closed interval, and state where thos...

A: We first have to find the critical points. For that we find f'(x). Then set f'(x)=0 and solve for x....

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=3-2lnx; x=...

A: To determine equation of tangent line at given point.

Q: Use a linear approximation (or differentials) to estimate the given number. (Do not round your answe...

A: Given,

Q: Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable ...

A: Let us begin with plotting the graph for |cos x|.

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at th...

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one inpu...

A: Given,

Q: Use the simplex method to solve the linear programming problem z=2x4 +7x2 subject to: 5x, X2 60 7x1+...

A: Click to see the answer

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 centroid of the region bounded by the following curves: y = (1/2)x and y = sqrt x

A: Given equations of the curve:

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

A: Given: -

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

A: Given: -

Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

Q: Starting with the graph of f(x) = 6*, write the equation of the graph that results from (a) shifting...

A: (a)

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

A: Consider the given derivative function.

Q: The radius of a sphere wass measured to be 30 cm with a possible error of 0.5 cm. (a) Use differenti...

A: Click to see the answer

Q: 0 and f" (x) < 0 for all x 50. Suppose f(3) = 2, f'(3) and f'(x) 2 a. Sketch a possible graph for f ...

A: We can conclude from f(3) = 2 that the value of f(x) at x = 3 is 2.So we got one point on the curve ...

Q: Question 1 Parts 1, 2, and 3

A: (1.1)

Q: Sketch the graph of the function f(x,y)=y The image included was the answer found in the back of the...

A: Given, function is

Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side leng...

A: To determine the rectangle which give the maximum area under the given conditions

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10 fe...

A: To estimate the height using numerical integration