True or false: The derivative of the difference of two functions is equal to the difference of the derivatives of the two functions.

Q: Hello Sir ! I need to evaluate these two integral question.

A: As per our guidelines, we are allowed to answer one question at a time. So, please re-post the secon...

Q: Solve triangle ABC if A = 35°, a = 12, and b = 16. Round lengths of sides to the nearest tenth and a...

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Q: Find the general solution of the first-order differential equation                       y′ = 2x√(1 ...

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Q: find antiderivative For of the function an ix)-5sinx such that FCO)=1.

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Q: Limits of two-variable functions Evaluate lim (x, y)-(2, 8) (3x?y + Vxy).

A: We will find the limit by substitution 

Q: Verify the identity: (sin x - sin y)/(sin x + sin y) = tan (x - y/2 cot (x + y)/2

A: We will use the formulas  

Q: f(x)=6cos2x Find the area of the region enclosed by the tangent line of the function f(x) at x=2 an ...

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Q: Evaluate the integral

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Q: Use the weight of the rocket to answer each question. (Use 4000 miles as the radius of Earth and do ...

A: (a) To determine: The work required to propel the rocket an unlimited distance away from the Earth's...

Q: a. Use synthetic division to show that 2 is a solution of the polynomial equation 2h3 + 14h2 - 72 = ...

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Q: Express the distance between the given numbers using absolute value. Then find the distance by evalu...

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Q: Please solve all 3 with work. I have no idea how to solve these types of problems

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Q: 5.4 Problem #32

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Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of...

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Q: If f(x) = x2 + 3x - 1, find [f(a + h) - f(a)]/h.

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Q: In a learning theory project, psychologists discovered that f(t) = 0.8 / 1 + e-0.2t is a model for d...

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Q: Use a matrix to solve the system  -5x - y     = -4          y -2z= -5 x- 2y +z=5

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Q: Explain how to use the Leading Coefficient Test to determine the endbehavior of a polynomial functio...

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Q: (a) Draw two typical curves y = f (x) and y = g(x) , where f(x)  ≥ g(x)for a ≤x ≤b . Show how to app...

A: To Draw: :   Two typical curves        To determine:               A Riemann sum that approximates ...

Q: What is the derivative of loga x? Are there any restrictions on a?

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Q: Find a · b. |a| 40, |b| = 30, the angle between a and b is 37/4. %3D

A:  |a| = 40, |b| = 30 and the angle between a and b is 3pi/4. We have to find the dot product a.b.

Q: Verify that the two families of curves are orthogonal, where C and K are real numbers. Use a graphin...

A: Given  The two families of curves are x2 + y2 = C2 , y = Kx  , where C and K are real numbers.

Q: Compule the volene rof the solid obtained by revolving the graph op the Rundtionfea) = 3x? on the in...

A: Given  The function is f(x) = 3x5 on the interval [-8, 8].                       

Q: Analyzing slopes Use the points A, B, C, D, and E in the following graphs to answer these questions....

A: a) negative slope = D, E

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a curren...

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B ...

Q: Sketch the plane curve r(t) = 2ti − 3tj,  and find its length over the given interval [0, 5]

A: Given plane curve: The parametric form of vector valued function is It is the equation of line in ...

Q: 5) The differential equation y′′=0 has one of the following two parameter families as its general so...

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Q: Find the area of the region bounded by the graphs of the given equations. y =x +3, y=x, x = - 1, x= ...

A: Given equations are

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

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Q: Find a · b. a = 7i + j, b = i - 6j + k %3D

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Q: Find the product and write the result in standard form: (-4 - 8i)(3 + i)

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Q: please help me solve and show steps of how you solved. i have been stuck on this same problem all we...

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Q: Evaluate the integral [5x/( x²+1)(2x-2).

A: Given, the integral

Q: Simplify algebraic expression. 14x2 + 5 - [7(x2 - 2) + 4]

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Q: Find the 50th derivative of y = cos 2x

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Q: 5x^2+19x+2=0 has two solutions A and B where A<B.  What are A and B?

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Q: Write a piecewise function that models each telephone billing plan. Then graph the function : $60 pe...

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Q: 4x lim エ→-0 r2-8z+3

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Q: state the zeros of f for what value(s) of f(x)=2 using interval notation to state the x-values where...

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Q: 4x Evaluate the in integral (6?++).(2x-2)

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Q: To plot points in polar coordinates, we use a grid consisting of ________ centered at the pole and _...

A: A rectangular grid is useful to plot points in rectangular coordinates. A grid consisting of circles...

Q: FIGURE 21 3. Which of the four regions in Figure 21 is the domain of integration for Lo s4,)dy dx?

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Q: The function models the government tax revenue, f(x), in tens of billions of dollars, in terms of th...

A: Given  The function models the government tax revenue  

Q: Find the domain of the function f(x) = √(24 - 2x)

A: f(x) = √(24 - 2x) We know that the value or the expression inside the radical symbol  ''√'' should 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: