Question

Suppose G(x)=4x^2+x+4 find a number b such that G'(b)=7

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...

A: a. Integrate the given indefinite integral with respect to x as follows.

Q: Define R as the region bounded by the graphs of f(x)=x2 +2x+2, x=−2, x=0, and the x-axis. Using the ...

A: Click to see the answer

Q: find the derivative of f(x)= 2x^3 + 4e^3

A: Given information:The given function is  

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

Q: I need help for this.

A: (a)  Use the ratio test and compute the interval of convergence as follows. 

Q: Hello,  How do I know when the limit is since it is not going by pi/6, pi/4, pi/3, pi/2, pi, and 2pi...

A: As a first step I will respond to your specific question "What is the limit? Or how do i know when t...

Q: A function and its first and second derivatives are given. Use these to find the relative maxima, re...

A: In this question, we have function, its first derivative and second derivative using that we have to...

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: 3ln xy′−9x2 y′=4x4  What is the order of the differential equation shown above?

A: The given differential equation is ,3ln xy′−9x2 y′=4x4  The order of the differential equation is th...

Q: I need step by step with explanations, because I turned my brain off and I’m having trouble turning ...

A: (a)The function is f(x) = sin4(4x5).

Q: skecth the graph a) f(x)=(x-2)2(x+3)   b)f(x) = x2-1/x   c)f(x) = 2x/x2-1    d)f(x) = -23 + 7x2 - 2x...

A: To sketch the graph of given function :

Q: 3. Given the function g(x) 8x defined on [-1, 1], determine if the function satisfies the Mean Value...

A: Given,

Q: A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = -2 sin (pi...

A: To find the position function we integrate velocity function and use s(0)=2.Answer(A): Position func...

Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min. ...

A: Area of a circle is given byDifferentiating the function of area with respect to time:

Q: The heat flow vector field for conducting objects is F=−k∇T​, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.

Q: What is the order of the following differential equation? −4x4 y=−5ln xy

A: Given differential equation is, 

Q: Use the Substitution​Formula, Integral from a to b f left parenthesis g left parenthesis x right par...

A: Let us assume y=(sec x)/4

Q: At the indicated point for the function, find the following. You may use the numerical derivative fe...

A: Given information:The given function is  

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

A: We have to find value of cosy.Question is given below:

Q: How to convert percentage to ratio?

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

Q: Find the area of the following region, expressing your result in terms of the positive integer n 2 2...

A: Obtain the limits of the integral by equating the functions as follows.

Q: Explain in your own words how to find the volume using the disk method.  Include on example in your ...

A: Suppose that any solid of revolution with disc cross-section.In order to find the volume of these ty...

Q: Use Green's Theorem to evaluate the line integral oriented counterclockwise.  Please refer to attach...

A: Given information:The circulation of the line integral of F=<3x^2, 6x^3+y>. where C be the bou...

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: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A: Click to see the answer

Q: Which of the following is the power series representation for f(x)? A. Σ ( -1): Ο Β. Σ 11k k 0 k 0 Ο...

A: In the given question we have to find the interval of convergence of power series representation for...

Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation. 

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 of the region inside of r = 1-sin(theta) and outside of r = 1 show all work

A: Compute the intervals of θ as follows.For the points of intersection,

Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,...

A:  The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: A theorem states that one local extremum implies an absolute extremum.  Verify that the following fu...

A: The given function is,

Q: Use​l'Hôpital'sRule to find the following limit.

A: To use L'Hopital's rule we try to get 0/0 form or infinity/infinity form first. We write x^2*cotx as...

Q: Help in #1 please.

A: Given information:The parametric equation is  

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

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: 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: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

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

A: Please see the picture on the white board. I have used the picture in the question and marked all th...

Q: could you help me with this problem please

A: Given,

Q: Determine the radius of convergence of the following power series. Then test the endpoints to determ...

A: We have been given a power series and we are required to find its radius of convergence as well as i...

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: Find the slope of the tangent line to the given polar curve: r = 2 - sin(theta), at theta = (pi/3) s...

A: Click to see the answer

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over th...

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval [-3,...

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

A: The definite integral is given as

Q: Determine the radius and interval of convergence of the following power series. к?(- 5)2к k! The rad...

A: Given,

Q: How do you find the limit of f(x) of the attached equation?

A: Notice that the graph is discontinuous at x=3. 

Q: Find a formula for the general term an (not the partial sum) of the infinite series (starting with a...

A: Given infinite series is, 

Q: please show ALL your steps

A: we are given a function 

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order yo...

A: We are given a function and a closed interval as