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Calculus

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Q: Graphf(x) = 2x and g(x) = 2x-1 in the same rectangular coordinate system. Use transformations of the...

A: To determine: Graph of f(x) =2x, g(x)=2x-1 in the same rectangular coordinate system. Use the trans...

Q: The following limit represents the derivative of a function, f, at some number a: lim h->0 sin(1...

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Q: 1 This question is about caleulating sin(126y) lim sin(42y) Your friend gave the following solution....

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Q: Calculate T5 and M5 for [ Vx6 + 5 dx. (Use decimal notation. Give your answers to five decimal place...

A: To calculate T5 and M5 for ∫12x6+5dx.

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Q: Write the equation for a cosecant function satisfying the given conditions period: 3π; range: (- ∞, ...

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Q: 2) Find (f • g)(x) and (g o f)(x) and give their domains. f(x) = x² + 1 g(x) = 2x² + 3

A: Consider the given function fx=x2+1 and gx=2x2+3

Q: Please show the solution on how to compute for the intercepts and local extrema of y= sin2(x)-2cos(x...

A: Given: The function y=sin2x-2cosx To find: x and y intercept and local extrema of given function.

Q: 2. Find the linearization of the function f(x, y) = In(x³y®) at the point (xo, yo) (4, 3). Leave all...

A: Consider the following function: fx,y=lnx3y6 fxx,y=ddxlnx3y6=1x3y6×3x2y6=3x fyx,y=ddylnx3y6=1x3y6×6x...

Q: Find the area of the surface generated by revolving the curve x = 2 cos θ, y = 2 sin θ, 0 ≤ ...

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis: S=2π∫abxdx...

Q: dy/dx=x3cosy

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: How to solve this problem

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Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the...

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached...

Q: Find an approximate value of F(1) given F'(x) = e-x² and F(0) = 2 Find an approximate value of G(-1)...

A: Express the mathematical equation for Linear Approximation. f(x)≈f(a)+(x-a)f'(a) Given, that F'(x)=e...

Q: Find the exact length of the curve. x = 6 + 12t2, y = 8 + 8t, 0sts1

A: If x=f(t), y=f(t) on [a,b] then length of curve is L=∫abdxdt2+dydt2dt

Q: Please draw the picture as well and solve 3A, B, and C

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Q: Find the inverse of f(x) = x3 + 1.

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Q: For each of the given functions f(z), find the derivative (f)'(c) at the given point c, first findin...

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Q: A potato is launched vertically upward with an initial velocity of 116 feet per second from a potato...

A: Given:s(t)=-16t2+116t+96

Q: How would you multiply this equation

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Q: Environmental Concerns The spread of oil leaking from a tanker is in the shape of a circle. If the r...

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Q: f(x) = -x - 5x + 4x - 7. Find the open intervals on which f is concave up (down). Then determine the...

A: Differentiate the function f(x)=-x4-5x3+4x-7 with respect to x, to find f'(x) and f''(x). f(x)=-x4-5...

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Q: Consider the function given by ?(?) = 18x^2 ...

A: f(x)=18x2(2x-9)2The x- intercept of f(x) is for which value of x , f(x) will be zero.

Q: Suppose that both the radius r and height h of a circular cone are increasing at a rate of 2 cm/s. H...

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Q: please help asap! use docs to write your answer or attach to a pdf if possible please

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Q: dy/dx of y=sec^-1 (5x)

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Q: Graph the solution set of the system x2 + y2 ≤ 16, y < 2x of inequalities or indicate that the sy...

A: We need to Graph the solution set of the system x2 + y2 ≤ 16, y < 2x of inequalities.

Q: Find the exact value of:

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Q: x,y,z ≠ 0 if (x-y/x)=(y/z) then z=[x(z-y)]/y

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Q: Find the slope of y(3x – y²) = 10 at (3, 2)

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Q: find f'(x) and f'(c) Function Value of C f(x)= x2-4/x-9 ...

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Q: To the right, you are given graphs of the functions f and g. Consider the functions u(x) = f(g(x)), ...

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Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: Write down the parametric equetions |3D 4=6-t in cartesion Form

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