7 of 17 If L{AO} = F(s), then L{f(4t)} = 알F6) OF) 04F(s)

Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7).

A: The endpoints of the sphere we have, (7,9,9) and (3,5,7)

Q: Differentiate ysin(1/y)=1-xy

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Q: Evaluate the integrals ∫sec3 x tan x dx

A: To find the given integral.  

Q: f (x) = 9cos 2x - Find the area of the region enclosed by the tangent line of the function f(x) at x...

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Q: Use a convergence test of your choice to determine whether the following series converge.

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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: Can you help me with this calc problem? It says to find and simplify f(x+h)-f(x)/h for f(x)=x^2+2. I...

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Q: Can the average rate of change of an increasing function ever be negative?

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Q: Let F(x) = ƒ(x) + g(x), G(x) = ƒ(x) - g(x), and H(x) =3ƒ(x) + 2g(x), where the graphs of ƒ and g are...

A: Given that , H(x) =3ƒ(x) + 2g(x)  We have to find H'(2)  

Q: How can we find the slope of the parabola y?

A: You can’t find the slope of the parabola y , because a parabola is not a line. You can find the deri...

Q: Evaluate the integral

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Q: differentiate the functions and find the slope of thetangent line at the given value of the independ...

A: We differentiate both sides with respect to x  

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y = ...

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

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Q: 417 please

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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: S represents weekly sales of a product. What can be said of S′ and S″ for each of the following stat...

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Q: Find the scalar and vector projections of b onto a. a = (-3, 4), b = (7, 9) scalar projection of b o...

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Q: Find an antiderivative F(x) of the function f(x)= 6sinx / (12+cosx) such that F(0)=1.

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Q: 29–30 - Equation of a Tangent Line Find an equation of the tangent line shown in the figure. 29. 30....

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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: Find the acute angle between the lines. Round your answer to the nearest degree. 6x - y = 2, 4x + y ...

A: To find the acute angle between the given lines.  

Q: If lim f(x) = L and lim f(x) = M, where L and M are finite real numbers, then what must be true abou...

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Q: Perform the indicated operation(s) and write the result in standard form: (2+i)2 - (3 - i)2

A: We first simplify using the (a+b)2 and (a-b)2 formula.  

Q: Find the indefinite integral. ∫e−3x sin 5x dx

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

A: Given function f(x) = 6 cos2x We have to find the tangent line of the function at x =2 and then the ...

Q: Find the general solution of the differential equation.

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Q: Evaluate the definite integral.

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Q: Find the exact value of the expression tan [cos -1 (4/5)]. Do not use a calculator.

A: tan [cos -1 (4/5)] We need to find the exact value of the given function.  

Q: Find the derivative of the function. f(t) = t2/3 − t1/3 + 4

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Q: Without using a calculator, evaluate the following expression shown or state that the quantity is un...

A: We know that    

Q: Find the scalar and vector projections of b onto a. 3i - j + 6k, b = j+ k 2 compab = 46 (3i-j+ 6k) 4...

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Q: Compute the average value of the f(x)= (7x²+6x+18)e*on the function interval [-6,7].

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Q: Find the product : (a - b)(a2 + ab + b2)

A: The given expression is  

Q: Find the second-order partial derivatives of the functions g(x, y) = ex + y sin x

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Q: 29–34. Power series from the geometric series Use the geometric series Er* = and the interval of con...

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

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Q: Solve starting at Step 4 beyond

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Q: Give the  examples of several inverse trigonometric functions?.

A: I will give one example for each trigonometric function and how to get the inverse trigonometric fun...

Q: Use the test of your choice to determine whether the following series converge.

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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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.