Consider the following function on the given interval. f(t) = t-Vt, [-1, 6] Find the derivative of the function. f'(t) = Find any critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t= Find the absolute maximum and absolute minimum values of f on the given interval. absolute minimum value absolute maximum value

Q: Use L'Hôpital's Rule to find the following limits: 20- limecos(2-0)

A: limθ→π22θ-πcos2π-θ

Q: Determine the radius of convergence and interval of convergence of each power series. Σ iM8 xn

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Q: Use synthetic division to divide x² + 2x² + 3x + 4 x+2 X D Use the paperclip button below to attach…

A: We have  Use synthetic division to divide

Q: Do the following with the given information. [' 5 cos(x²) dx (a) Find the approximations Tg and Mg…

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Q: Find an equation of the plane through (-6, -4, 0) that is perpendicular to the line x - 2 = 2t, y +…

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Q: [[x−³ − 3x² + 5x²] dx = [22-3 - = +C

A: We have to evaluate the integral.

Q: Evaluate the iterated integral by converting to polar coord 9/√81-x² LIVE e-x² - y² dy dx

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Q: Find constants a and b so that the minimum for the parabola f(x) = : x² + ax + boccurs at the point…

A: The given parabola is : f(x)=x2+ax+b We need to find the values of a and b so that the minimum for…

Q: Let f be the function defined by f(x) = . What is the approximation for f (10) found by using the…

A: f(x)=x3 Find the first derivative of the given function  f(x)=x3=x13f'(x)=13x13-1......(Since,…

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 8…

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Q: What is the remainder when x2 + 6 x + 10 is divided by x + 2? O -8 O 16 O O 8 02

A: x2 + 6x + 10 and x+2 Find the remainder when x2 + 6x + 10 is devide by x+2.

Q: find the area between y=10 and y=9x^(2 ) for -1<=x<=1

A: y=10 &amp; y= 9x2  Wr have to find area between above curve  from x=-1 to x= 1

Q: Given the points A(3, 4, 5) and B(9,- 2, 7), write a vector equation and the parametric equations of…

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Q: The function f(x) = 2x³-33x² + 108x + 5 has one local minimum and one local maximum. Use graph of…

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Q: Find the most general antiderivative of the function: f(x)= 5x² - 4x² + 3x x²

A: Given: f(x)=5x3-4x2+3xx2 We are required to find: Most general antiderivative of f(x)

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (9x4+8)³ √…

A: To find out the integration by using substitution.

Q: Which Riemann sum represents the illustration shown? 3 2- 1 2 3 ·5

A:

Q: Part 2 - Find the error(s) and solve the problem correctly. Find sin 52° Answer: sin 52 = -0.9866

A: Find the value of Sin(52°)

Q: Find the cross product u x where ū =3i +6j +k and ở = = (6,-8,5). u x v =

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 66. y = x(x + 1)³ (3x − 1)² -

A:

Q: Which of the following values fall within the domain of f(x) = In(x)? A B с X = -1 x=0 x=1

A: y=lnx

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections.…

A: Here a =8 ; b=4 ; and c= 3  And we find the volume of the wedge in the figure by integrating the…

Q: Write an equivalent integrat with the order of integration given. a) The parabolas x=x²-1 and…

A: (a).The given curves are:x=y2-1     and       x=2y2-2

Q: Find an equation for the graph sketched below: 8 88 7 65

A: let equation : y=a(b)x+c horizontal asymptote from the graph : y = 1 Therefore , c = 1…

Q: Use synthetic division to divide 7x2-14x +3. The last row of synthetic division is: X-3 O7-23 75 O 7…

A: The answer is in next step.

Q: and/or provide an explanation for credit.

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Q: Write a vector and scalar equation of each plane. | - a) perpendicular to the line [x, y, z] = [2,…

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Q: Consider the function f(x) = 2x³-9x²60x+2 on the interval [-4, 7]. Find the average or mean slope of…

A: fx=2x3-9x2-60x+2

Q: The following model is used for the remainder of the learning activity. 57454.128 1+31.876e-0.091t…

A: NOTE: Refresh your page if you can't see any equations. . the given logistic function is  here…

Q: Consider the points A(3, -3,2), B(6, -5,0), C(-1, -4,0), and D(6, 3, 4). (a) Find the volume of the…

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Q: Convert the point (r, 0, z): (x, y, z) = (5, 7, -5) to Cartesian coordinates.

A: Given: r,θ,z=5,π4,-5 We are required to find: x,y,z

Q: Consider the following. f(x, y) = x²ev, P(6, 0), u = (4i - 3j) —— (a) Find the gradient of f. Vf(x,…

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Q: Find all the second partial derivatives. f(x, y) = x6y4+ 4x8y fxx(x, y) = 30x4y4+224x6y fxy(x, y) =…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Does the series Σ n=1 n+1 converge or diverge? Choose the correct answer below. *** A. The nth-term…

A: The given series is ∑n=1∞4nn+1. Determine whether the series ∑n=1∞4nn+1 converges or diverges as…

Q: g(t) = t t - 1 on [3, 5]

A: First find critical points by g'( t ) = 0 Given function g( t ) = tt - 1

Q: Equation of the locus   1.A circle with a center at (-8 , 5) passes through (-6 , 4). Find its…

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Q: 5√6x 4. Use a substitution to change f dx into an integral that can be found in the table of…

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Q: Σ +1

A: Given that, the series              ∑n=1∞en +1πn = ∑n=1∞enπn +1πn  = ∑n=1∞eπn +1πn

Q: Each time your heart beats, your blood pressure increases, then decreases as the heart rests between…

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Q: The power rule: x dx = NOTE: Enter the exact answer. 7 [[11x + ] dx = x r+1 + C,r-1. +C

A: Integration

Q: This extreme value problem has a solution with both a maximum value and a minimum value. Use…

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Q: Find the limit. lim x48 x + 7 x + 2 X

A: To evaluate the following limit. limx→∞x+7x+2x

Q: +'? £ wt for 17 me Ley The function graphed above has: Positive derivative on the interval(s)…

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Q: If f and g are functions of time, and at time t = 3, f equals 5 and is rising at a rate of 3 units…

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Q: Find f. f(x) = f"(x) = 6 - 6x - 40x³, f(0) = 5, f'(0) = 7

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Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

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Q: 2. Use chain rule to find the derivative of the following functions (Hint: for function composed…

A: NOTE: Refresh your page if you can't see any equations. . Since you have asked multiple questions,…

Q: If A is the area of the intersection of the regions enclosed by the graphs of r= 1 + cos and = 2 cos…

A: To find the area of the region enclosed by the two polar curves, we need to find the points of…

Q: Calculate the limit. If the linit ends up being ± 00, determine which it is Tim +→ π Sin ² (t) t-u

A: Find the Limit limt→πsin2tt-π=?

Q: Which integral would represent the area shown? 8 6 4- 2- 0 Y 0.5 1 15 2 2.5 3 X

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