f(x+h)−f(x)=−3hx2+4hx+1h2x−5h2−1h3   find f′(x)

Q: Use a right triangle to write the expression cot (tan-1 x/√2) as an algebraic expression. Assume tha...

A:

Q: B Use the inverse trigonometric keys on a calculator to find the measure of angle A. 37 m 30 m A = (...

A: Given:    To find: ∠A

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: 15-18 - Graphing Linear Functions For the given linear func- tion, make a table of values and sketch...

A: Answer to question 15.   The function is, fx=2x-5   Plot the table for different x and y values. ...

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t specif...

Q: The integrals converge. Evaluate the integrals without using tables

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Q: If v = 5i + 4j, find the vector 6v.

A: Consider the following vector: v→=5i^+4j^ Consider the following expression: 6v→=65i^+4j^=6×5i^+6×4j...

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then ...

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Q: Second derivatives Find y″ for the following functions. y = x sin x

A: Second derivatives Find y″ for the following functions. y = x sin x

Q: Find the dimension of the rectangular corral producing the greatest enclosed area given 200 meters o...

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Q: Solve and graph the solution set on a number line:18< |6 - 3x | .

A: Given: 6-3x>18 we know that if x-a>b then x-a<-b∪x-a>b

Q: Exercises 1–6 give parametric equations and parameter intervals for the motion of a particle in the ...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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Q: Find the distance from the point (4, 3, 0) to the z-axis

A: To determine: Find the distance from the point (4, 3, 0) to the z-axis  

Q: The amount of trash in a county landfill is modeled by the function T(x)=150x +32,000 where x is the...

A: Given: Tx=150x+32000

Q: Sketch a graph of the functionf(x) = −x3 + 4x2 − 9x + 3 using the following steps.a) Identify where ...

A: Given function, fx=-x3+4x2-9x+3 Used differentiation formulas, ddxxn=nxn-1ddxconstant=0

Q: Determine the amplitude of the function y = 4 sin x.Then graph the function and y = sin x in the sam...

A: To determine the amplitude of the function y=4sinx. To graph the function and y=sinx in the same rec...

Q: Graph y = sec (sec-1 x) = sec (cos-1 (1/x)). Explain what you see.

A: Given information: y=secsec-1x=seccos-11x

Q: Real and Imaginary Parts Find the real and imaginary parts of the complex number. 12. - 14. iV3 11. ...

A: Since you have posted multiple questions, we will answer the first question. If you want the remaini...

Q: Solve the system for x and y, expressing either value in terms of a or b, if necessary. Assume that ...

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Q: Find and simplify the difference quotient [f(x + h) - f(x)]/h, h ≠ 0 for the given function : f(x) =...

A: f(x)=-2x2+5x+7To find:f(x+h)-f(x)h

Q: Find the indefinite integral ∫tan5 (x/2) dx

A: It is given that, ∫tan5x2dx. We have to evaluate it.  

Q: Find the antiderivative

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.         ...

A: Given: fx, y = 2x +y,  constraint : xy = 32 x and y are positive. To find: Extrema of the given func...

Q: a. Use synthetic division to show that 3 is a solution of the polynomial equation 14x3 - 17x2 - 16x ...

A: Explanation: Given that the polynomial equation  14x3-17x2-16x-177=0Write the coefficients  Use synt...

Q: Simplify : a. ( -16)1/4 b. (-27)1/3

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Q: (1 + +)" =- 65. lim

A: To show: limn→∞1+1nn=e

Q: The sum of two numbers is 10 and their product is 24. Find the numbers.

A: The sum of two numbers is 10 and their product is 24.

Q: a.) If     f(x) dx   = 4x9 − 8x6 + C, find f(x). f(x) =   b.)Find the differential of th...

A: Given: ∫fxdx=4x9-8x6+c                                          ..1 for finding fx, we differentiate...

Q: Please show all the steps Thank you

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Q: Define g(3) in a way that extends g(x) = (x2 - 9)>(x - 3) to be continuous at x = 3.

A: gx=x2-9x-3

Q: Walking on a surface Consider the following surfaces specified in the form z = ƒ(x, y) and the orien...

A: Given: z = 4x2 - y2+ 1, C: x=cos t, y=sin t; 0 ≤ t ≤ 2π

Q: i need answers for this activity T__T

A: " Since you have asked a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: Find two vectors that are orthogonal to ⟨0, 1, 1⟩ and to each other.

A: Vector: Let the two vectors are v and w. We have to find the two vectors which are orthogonal to &lt...

Q: Write the equation of a sine function that has the following characteristics. Amplitude: 2 Period: 6...

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Q: Calculate the derivative of the function y=3sinx+2cosx.

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Q: Consider the following. 5,000e0.1x dx Find a substitution to rewrite the integrand as 50,000e“ du. u...

A: ∫5,000e0.1x dx Now put  u=0.1x Differentiating with respect to x, we get dudx=0.11⇒du=0.1 dx  

Q: Consider the function 6z + 14 z 9(2) 5z-7 z Evaluate the following expressions. Write DNE if the exp...

A: Given function is gx=6x+14x5x-7x  ....1

Q: At t = 0, a train approaching a stationbegins decelerating from a speed of 80 mi/hr accordingto the ...

A: When t = 0, we get, s(t) = 80 When t = 0.2, we get, s(t) = 11.83

Q: Solve the system of equations by any method.

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: