Use the first derivative to determine where the function is increasing and decreasing and where all relative maximums and minimums occur. Do not use the graph

Q: In 1000 5 X limx→ +00 X

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Q: Evaluate the integral of fx³dydx

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Q: 2. F(s): = 1 (S-2)(s-4) (s-8)

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Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: xp h+Z² S Select one: a. Ob. c. Od. In x² +4 + c In 2+2+c ln +4+c In 2+2+c

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Q: 10. Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Given ,  We have to find the equation of the curve whose slope is the inverse of the sum of the…

Q: Suppose you place a $35 bet on a horse with a odds against winnning. Determine the winning payout…

A: Topic:- algebra

Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: x²-9 lim x-3 x-3

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Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: Find the general equation of the circle of curvature of the parametric equation t+1 X ; y = ±…

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Q: d e) (In|sin x)) dx

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Q: Find y (2) if D.E. 2 dx +3y=sin 2x₁ y(0) = 6

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Q: . Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Topic:- function  and application of integration

Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: Evaluate the equation f Select one: a. 0.5 b. -1 Oc. 2 Qd. 1 dzdy

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Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: dw ow For the functions w = xy + yz + xz, x= u + 3v, y = u- 3v, and z = uv, express and using the…

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Q: d) Find s' (t) for the function. s(t) = 3t² + 5et

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Q: Find the integral offsec²x dx tan x

A: This is a problem related to integration. based on the general formula and concepts we will answer…

Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…

Q: This question is designed to be answered with a calculator. A kettle of hot water, initially at…

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Q: 5x5 (a²-x²)6 dx 0

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Q: 3t4 - 6t+ 3et Let f(t) = Then f'(t) =

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Q: 3. Determine the limit graphically. Confirm algebraically. x - 1 lim x-1 - 1 1² - 3t+2 lim 1-2 1² 4…

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Q: lim.. lim X→+∞0⁰ In5 x x² In 1000 X 5 X X→→→→+∞0

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: Evaluate the integral. 34 1 8- dx

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Q: PROBLEM 3: 00 Consider the set S= = {A€M₂×3 ×3 (R): A = -[880] where a > 0, b>0, with the usual -0,…

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Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: 2 3/2 √₁² (4- x²) ³/² dx

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Q: 2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but…

A: As per bartleby guidelines we only give first three question answers.

Q: 0 Compute the integral: I alned

A: LetI=∫01xlnxdxApply integration by…

Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: f (x+2) In (x+2) - 4 tc (x+2) Xt *+ 2

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Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Find the integral of ³y²-y+1 f dy y³-y²

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Q: 32/5 y=x² 32 Find the area of the region bounded by the graphs of y = x² and y = 4x. 64/3 32/3 64

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: A boy released a balloon vertically in the middle of a hemispherical dome at a velocity of 5 m/s.…

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Q: Convert each pair of polar coordinates to rectangular coordinates  1. (2,150)  2. (4, 7 pie/ 4)

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy-y², Po(-3,4), A=i+2j…

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Q: 1. Evaluate the given integral Q. Q = $₁² [² (2² Your answer (x² - y) dy dx

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Q: () 2 1- (x+6) (x+2) 2

A: The given integral is:…

Q: Compute the average rate of change of f(x) = x2 − 2x on the interval [1, 3]. Find c ∈ (1, 3) which…

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Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vf|(−2,2,− 1) = ₁ + Oj + k (Type integers or…

A: We want to find the gradient of the given function at point (-2,2,-1).

Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.