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## Related Calculus Q&A

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Q: see attachment

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A: Refer to the question we have to find the Cartesian equation for the curve r = 4sec(theta)

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A: Given function is

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Q: Let f(x)=ex2. It can be shown by direct computation that f(4)(x)≤76e on the interval [0, 1]. Using t...

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Q: Find f "(x). f(x) = x/x^2 -1

A: Find f’’(x)

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Q: Evaluate the definite integral from 0 to 1 of dt/sqr(t^2-6t+13)

A: Given integral is

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Q: Find h(-2) h(t)=t^2-4t+2

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Q: A Graphs A and B are approximate graphs of f and f for f(x) x2 So f is increasing (and f is positive...

A: Using f(x)= x^2-2x+3 we find the f'(x).f'(x)= 2x-2

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Q: Find the solution of the exponential equation 121-x _ = 2 in terms of natural logarithms, or correct...

A: Click to see the answer

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Q: Find the linear approximation to the function. x2 f(x + Δx) ≈ Evaluate it at the given va...

A: Click to see the answer

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Q: Use integration by parts to evaluate the integral. ∫0π/3 5exsinx dx type an exact answer

A: Given, definite integration is

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Q: Find an equation of the line tangent to the curve defined by x^3+2xy+y^3=4 at the point (1,1).

A: To find the equation of the tangent line at the point (1, 1) to the curve given below.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval F(x) = xex2/98 [-3,...

A: Given function is

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Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

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Q: Video Example Suppose that f(0) = -7 and f'(x) < 8 for all values of x. How large can f(3) possibly ...

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Q: If f(x) = exg(x), where g(0) = 5 and g'(0) = 2, find f '(0).

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Q: Let f (x) = x1/3(8x + 12)2/3. Find f ' (x) and the critical numbers for f.f ' (x) = (Ax+B)/3x^c(8x...

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Q: sin ba +sin cxsin dx = 4 ar lim0 Find the Q 8. a, b, c, d are constants such that 3a2547x6 0.) value...

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Q: Find an equation of the tangent line to the graph of y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

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Q: Find equation of the tangent line to the curve at the following point.

A: To write an equation for tangent line to the curve at a given point, we calculate the slope at the g...

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Q: Can you help with this problem step by step?

A: (a) Finding the local extremas:

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Q: Evaluate the integral. ∫1/x2+25 dx

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A: The given function is,

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Q: see attachment

A: Given logarithmic equation is,

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Q: Can you help me step by step?

A: The function is given by

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Q: step by step please, i believe this is the compound interest formula

A: Given,The initial deposit (P) = $10000The account worth (A) = $15000The interest is compounded daily...

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A: Differentiate I with respect to u

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Q: Find the equation of a) parallel and b) perpendicular lines to the line 4? – 6? = 9.

A: Assuming the given line is 4x – 6y = 9

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Q: The height (in feet) of a certain kind of tree is approximated by h(t)= 120/1+180e-.34t where t is t...

A: The height of a tree in feet as a function of time t in years is as follow:

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Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

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Q: indefinite integral of (7 + u + u2) du

A: To find: value of the indefinite integral.

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Q: Sketuh fCx)= x-DA2x1) ( 12X21 7xt1 X-intercept Doman: 10 Y-inteicept 10 Slant Asymptote: Vemcal Asym...

A: The given function is:

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Q: The force exerted by an electric charge at the origin on a charged particle at a point (x, y, z) wit...

A: The position vector,

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Q: Given function, find the inverse function Question Find the inverse of the following function. -8x2-...

A: The given function is

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Q: Can you help with this problem step by step?

A: The problem is concerned with the critical points (maximum, minimum) of the given graph

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Q: An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at...

A: Model the given problem as follows.

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Q: 1 Q 2. Differentiate h(x) = (V+ -2 IX

A: The equation can be re written as,

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Q: Consider the function f(x)=2x^3+6x^2-90x+8, [-5,4] find the absolute minimum value of this function....

A: The function is given by,

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10 fe...

A: To estimate the height using numerical integration

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Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

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Q: Find the maximum and minimum values of the function y = 4 cos(0) 7 sin(e) on the interval [0, 2x] by...

A: Compute the critical points as follows.

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Q: Which of the following functions are solutions of the differential equation y′′−9y′+18y=0?A. y(x)=e3...

A: The given differential equation is,