Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer values. If an answer does not exist, enter DNE.) 1(0) 14 cos(0) + 7 sin²(0)

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A: Function fx=8-x2 on the interval -1,2 and n=6 Using left end approximation find the area.   First we…

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Q: Find its exact area (in square units) using geometry. square units (b) Use a Riemann sum with five…

A: The given function is:f(x)=6-2x

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A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Suppose that f(x, y) = x² - xy + y² - 3x + 3y with D = {(x, y) |0 ≤ y ≤ x ≤ 3}. 1. The critical…

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Q: If f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 8, how small can f(8) possibly be? f(8) Z

A: f(3)=5f'(x)≥2    for 3≤x≤8

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Q: 4. Determine the open intervals where the function is concave upward and the intervals where the…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A: Given data:- the function   f(x)=7ex,     [0,3]

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A: The given curve is:y=e2x          over 0, 3

Q: Below is the graph of a function f. 8 6 2 Estimate the integral 8 10 12 I = - [² f(x) dx with six…

A: ∫abfxdx≈∆xfx1+fx2+fx3+fx4+.........+fxn ⇒∆x=b-an

Q: c. Does the series conclusion. n=1 converge or diverge? Clearly justify your

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Q: Consider F and C below. F(x, y, z)= yzi+xzj + (xy + 6z) k C is the line segment from (3, 0, -2) to…

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Q: Solve the system of equations by any method. -3x+6y= 21 x-2y=-7 Enter the exact answer as an ordered…

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Q: is there any other way to solve for part d, the antiderivative in terms of u? it is incorrect

A: ∫x4+154x3dx

Q: Differentiate. g(0) = e(tan(e) - 0)

A: g(θ)=eθtanθ-θTo Find: differentiation

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Q: dy dx Given y = 4x² + 3x, find when x= -1 and dt dy 91² M (Simplify your answer.) 4.

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Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

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Q: D) Evaluate f (r² + y²) dady where D is the disk z² + y² ≤ 4. Usc polar coordinates. (Ans: 647/5) E)…

A: To solve the following

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Q: Find the following coefficients. 0 Co C1 C3 = C₂ = C4 = || = 2/3 -10/0 -18800 = 8 1 108 4! 8x x + 12…

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Q: Use the matrices below to perform matrix multiplication. 26 3] =[ 1-0 = [- -8 0 12. 6 B = If the…

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Q: Let F(x, y) = (x - y)i + (x² + y2)j be a vector field. Use Green's Theorem to compute F dr, where C…

A: The given vector field is:F(x, y)=x-yi+x2+y2j

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A: The given differential equation is;  y'(t) + 2 y(t)/t = 2 -5t, y(3)=0.

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A: the given profit is P(x)=-x3+9x2+165x-300, x≥5

Q: 2. Find the derivative of y in each case. (a) y = sin³x + cos³x

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

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Q: Express the following sum in closed form. 5n(n+1) 2 n Σ (5k – 3) k=1 = Note: Your answer should be…

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Q: A population increases according to P(t) = 280 (1.03)t where t is the time in years since 2000. (a)…

A: Population: P(t)= 280(1.03)t Where t in years since 2000

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Q: 小 唯 慌 dz

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Q: dy Solve the IVP: dt +0.8y = et, y(0) = 7.

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Q: Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy. x…

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Q: A colony of bacteria in a culture grows at a rate given by N(t) = 2^t/5, where N is the number of…

A: Nt=2t5Kt=et3

Q: Find the general solution of the differential equation using separation of variables. y' = y² (1 −…

A: y'=y21-6x2

Q: Find f if f"(t) = 2et + 3 sin(t), ƒ(0) = 2, ƒ(π) = 5. f(t) = = 2e^t-3sint+ (2e^(pi) - 5)/(pi)t

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Q: Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) =…

A: We have to find the velocity, acceleration vectors and tangent equation.

Q: st of an 8-inch square flue lining is $305.76 for 48 feet what is the cost per foot f the flue…

A: he cost of an 8-inch square flue lining is $305.76 for 48 feet what is the cost per foot f the flue…

Q: 89. Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = f*f…

A: The solution is shown in step-2

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Q: Which of the following functions could make the graph of: 2 -2 -10 -12 -14 -16 Of(x) = 2x³x2²-8x-4 O…

A: Here we can see that in the given graph of a function When x=0 then y=4  Or y(0) =4

Q: -1 1,0 1,0

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: On the interval [0, 8] the continuous func- tion f has graph 6- 21 2 4 I 6 Determine the value of…

A: The graph of the function f(x) over the given interval 0, 8 is:

Q: 2. A ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t seconds is…

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Q: Find the mass of the lamina described by the inequalities, given that its density is p(x, y) = xy.…

A: The given inequalities are:0≤x≤8   and   0≤y≤8The density of the lamina is:  ρ(x, y)=xy