EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3. In (cose) tane de

Q: Let f(x) - 9 sin' a 4 f'(x)

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Let f(x) = 7x and g(x) = 4- x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f g)(x) (d) (x)...

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Q: equations for the line segment that joins P to Q. P(0, 0, 0),    Q(−3, 8, 6) vector equationr(t)=   ...

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Q: Solve the differential equation: y?sin(t)=-y'

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Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: y'(x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: Find (f o g)(x) and (g o f)(x). 8. 10x) = 5x² - 3; g(x) = = %3D (fo g)(x) =| (Simplify your answer. ...

A: Given that f(x)=5x2-3,    g(x) =8x. We have to find f∘gx and g∘fx. Now, f∘gx = fg(x)         and    ...

Q: Find the general solution to x*/ = x*y – y°.

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Q: 5*+1.In5 +C e5 5 n + 1 A) True B False

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Q: 4 The function f(x,y) = corresponds to x² + y? plot [ Select ] level curve [ Select] >

A: Here, the given function is: f(x,y)=4x2+y2

Q: 15 2 3 4 5 6 -2 -3 -4 The graph above is a transformation of the function x? Write an equation for t...

A: Let f(x) =ax2 +bx+c and passing points are               (-2, 2), (-1, 4), (-3, 4)  and find values ...

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

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Q: Let F(x) = f(xº) and G(x) = (f(x))® . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(a") = 5 Th...

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Q: Find values of x, if any, at which 2x f(x) = x – 15 x + 7 is not continuous (enter as comma separate...

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Q: Find the arc length of y = (x +4) + (x + 4)- for 1 < x < 2. (Give your answer to three decimal place...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: Evaluate the integral .

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from (a) shifting...

A: NOTE: Refresh your page if you can't see any equations. . the base function is  . the graph of y=f(...

Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

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Q: Factor out the greatest common factor X(5x-6)+2(5x-6)

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Q: Evaluate the integral. 3. 2 sec °x dx * T/ 4 - π/4

A: Given that a integration and we solve this integration by using general property of integration. We ...

Q: Find the slope of the graph of the function f(x) = V3x at (3,3). Then find an equation of the line t...

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Q: A company has started selling a new type of smartphone at the price of $110 - 0.1 x where x is the n...

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Q: Find the value of Q – 7.65 = (0.002083)(10) (00,1.85(0* 4.6 14.8665

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Q: -1 Cos cos

A: Given query is to find the value of indicated trigonometric functions.

Q: lim (x,y)→(0,0) f(x, y) to be along the path Y = x. Based on the table of values, enter what you bel...

A: Based on the table values we have to find the limit value.

Q: A piano manufacturer has a daily fixed cost of $1,300 and a marginal cost of $1,700 per piano. Find ...

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Q: -dx

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Q: Using the definition, calculate the derivative of the function. Then find the values of the derivati...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Consider the graph of the function f(x) shown below. y List any x-values at which f is not continuou...

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Q: T2 - I + 11 Given the function f(T) 5x7 + 3 lim f(1) appears to be I- + 00 O DNE lim f(T) appears to...

A: The given function is  f(x)=x2-x+115x7+3

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify...

A: Apply integration to find the area of the region

Q: Find the equation of the tangent line at the point (a,f(a)). Sketch the graph and the tangent line f...

A: To find the equation of the tangent line at the point (a,f(a)).

Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

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Q: The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where O...

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Q: 4- 2- -6 -5 -4 -3 -2 -2 -3 Find the following limits. f(x) lim I1- g(x) O-00 O 0 O Does Not Exist

A: topic - limits

Q: Let 4 f(x) = (a + 4x + 4)* f'(x) = f'(5) =

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) The values of x for which f has a horizontal tangent line are x=

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Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

Q: Divide the numerator and thế denomih by lim 9. + 2

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Q: Use continuity to evaluate the following limit lim sin(x + cos(x)). Limit:

A: Given; Limx-π Sin(x+ cos(x)).

Q: 7 Consider the function f(x) 10 Let F(x) be the antiderivative of f(æ) with F(1) = 0. Then F(x) =

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Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: find the point (x,y) at which the graph of y=7x2+5x-6 has a horizontal tangent line.  The function ...

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Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f...

A: Given:- The function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of ...

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: Given that 2 + [* dt = 3x-1 find the function f and a value for a. (Hint: See what happens if you di...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Based on empirical data, scientists have determined the following function that models the height of...

A: Given that: h(t)=3.2t