9 23-325 26 Find an antiderivative of Antiderivative= Remember to include a "+C" if appropriate. absin (a) 00 in the variable where x > 0. R

Q: f(x) = 6log(13x + 8) - 2

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Q: SE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: x^3 y^3 + x cos y = 7

A: As we know that, The Power rule: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'   The given equation…

Q: 9.

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Q: (x) = [*cos(t¹) dt, then g'(x) cos(x7) — sin(x7) — sin(77) + sin(x²) cos(77) - cos(x7)

A: Given query is to find the derivative.

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Q: Given the following graphs, find the volume of the solid of revolution of the shaded region. Rotate…

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Q: Use the formula for the binomial series: (1 + x) to obtain the Maclaurin series for 1 - 8x + 1 - 8x…

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Q: For the piecewise linear function, find (a) f(x) = (a) f(-4)= (b) f(− 2) = (c) f(0) = (d) f(2)= 3x…

A: Given function:- fx=3xif x≤-2x-4if x>-2

Q: If E is the solid described below with density function p(x, y, z) = x² + y², find the following…

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Q: Enclose arguments of functions in parentheses. For example, sin (2x). To enter √a, type sqrt(a). /…

A: The given integral ∫11x-1110xdx. We have to find solution of this integral.

Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x − y subject to the…

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Q: 1. Simplify the following expression using the exponent rules, and indicate the rules while…

A: Please re-post the last question separately. I'm running out of time. 1.  The expression can be…

Q: dy d²y dx² dx 3. Find and with implicit differen- tiation. (a) xy+3y² = 10x

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Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below. (a) Find f(g(x)) and simplify. x+2…

A: Given query is to perform indicated function operations.

Q: Question 1 Speedometer readings for a vehicle (in motion) at 12-second intervals are given in the…

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Q: The graph of the DERIVATIVE of f(x) is below: 6 -6 -5 -4 -3 -2 -1 54 4 3 2 1 7 -2 -34 14 -5 -6 -7-…

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Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is

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Q: p(x)=tan(x-Pi/3) need to know the stretching factor, period, and asymptotes

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Q: Loyd is floating in his boat 2 km from the straight shoreline of a still lake .Standing at a…

A: GivenT(d)=d2+44+4-d5   We are required to find the minimum value of T.

Q: y 10 40

A: The given graph is

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= x and then find the nth Taylor…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx B) Write the equation for the…

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Q: 0 1 2 A drone flies in a straight line with a positive velocity v(t), in miles per hour, at time t…

A: Please see the below picture for detailed solution.

Q: derivative and determine its range. in (a). Sketch the graph of the function using the first of is…

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Q: Question For the polar equation r = cos (60), complete the following table of values by filling in…

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Q: 1 4x-3 dx

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Q: 2. Find the complete solutions of the differential equation, = (x + 1)(x + 2), dx 3 and its…

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Q: The function defined by f(x) = ax2 + bx+c has a relative extremum at (1,7) and the graph of f passes…

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Q: he area enclosed by the graphs of x = y² and x = 9, shown below 2 x = y² 4 6 + 8 X = 9 10X

A: Given query is to find the area enclosed.

Q: West Gorham High School is to be located at the population center of gravity of three communities:…

A: We have to find the location of West Gorham High School.

Q: sin(4x) (b) lim 2-0 tan(x)

A: Given limx→0sin4xtanx apply  L'Hospital rule limx→0cos4x4sec2xapply limit cos(4×0)4sec2(0)=141…

Q: se synthetic division to determine whether the given 3 2 √6; P(x)=x¹+x - 5x² - 6x-6 4 s √6 a zero of…

A: Please see the below picture for detailed solution.

Q: (4,5,-3) and b = −i +2j+ k → COMPUTE: 3. bxa a·b

A: Given that, a=4, 5, -3 and b=-i+2j+k We have to find the value of b×aa·b.

Q: Then Suppose f(x) dx = 13 and 8 12 4 [ 12 13 and ["fl f(x) dx = f(x) dx = 5.

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Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = 3. Find…

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Q: Use a series to estimate the following integral's value with an error of magnitude less than 10 -5…

A: We need to estimate integral.

Q: Find the arc length of the curve defined as follows: x (t) = sin2t, y(t) = 1 - sin2t, 0≤t A √2 B 2 ©…

A: Given query is to find the arc length.

Q: The graph of a function is shown in the figure. Make a rough sketch of its antiderivative F, given…

A: We have to draw the graph of F(x).

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 5t, y = 9t,…

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Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The first derivative of a continuous function y = f(x) is y' = (5x² − 8x) (x-4)². Find y'

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Q: Find the net signed area between the curve of the function f(x) = x³ and the x-axis over the…

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Q: Find the minimum and maximum of f(x, y, z) = x² + y² + z² subject to two constraints, x + 2y + z = 8…

A: We have to find the maximum and minimum of given function.

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: Evaluate the following integral using a change of variables. y-x !!()** y + 2x + 1 R تالي y-x y + 2x…

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Q: 2. Use the first derivative test to locate the local marimum and local minimum point ( f(x) =…

A: we need to use the first derivative test to find out the local maximum and local minimum points.

Q: ★ Compute the directional derivative at the point in the direction of vector v. 1. z = xey - ye* at…

A: Given function:- z=xey-yex

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: 2 f(x) = x² shifted and = X shifted right 2 units down 3 units. the equation of God graph what does…

A: To determine the equation of the graph after transformation