Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

Q: x1/2 dx x3/4 + 1 Let x = z8 dx = 8z7dz Is the substitution the most appropriate one? Explain your…

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Q: Solve the following Bernoulli’s differential equations 2ydx + x (x^2 ln y - 1)  dy = 0

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Q: Consider the vectors. (-8, 10), (-48, 60) (a) Find the dot product of the two vectors. (b) Find the…

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Q: Suppose that the point P can be placed anywhere on the line segment AB in order to change the angle…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: √25x2-4 -dx, 2/5 cosø dø 2/5 sec^2 ødø 2/5 seco tanø dø None of the choices

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Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and…

A: Given,r1(t)=6ti+4t2j+5t3kr2(t)=t4kddt(r1(t).r2(t))=r1(t).ddt(r2(t))+r2(t).ddt(r1(t))ddt(r1(t).r2(t))…

Q: Find the volume generated when the area in this problem (Find the volume of the solid generated when…

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Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: What is the contrapositive, converse, and inverse of the ff. propositions The home team wins…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: 10. Find the area of the paraboloid x² + y + z² = 2 by the plane y = 0. (Hint: Implicit Surface)

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Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

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Q: Evaluate 112² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

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Q: Use substitution to evaluate sin2x√/4+9sin²x dx A (26/13-16) B 27(26√/13 (26√/13 – 16) C 27/7 √…

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Q: Consider the following series. Σ» (#1) (a) Determine whether the series is convergent or divergent…

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Q: KE-5 f(x) g(x) Find the area enclosed between f(x) = 0.6x² + 10 and g(x) = x from x = −5 to x = 3.

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Q: 6.S dx √1+√√x

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17

Q: Suppose a "Gip" is a unit of angle measure such that an angle making a full rotation measures 11…

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

Q: y-gx cross-section base view The base of a certain solid is the area bounded above by the graph of y…

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Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

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Q: dy dx +y=e*

A: The standard form of the linear differential equation is; dydx+Py=Q Where, P &amp; Q is the function…

Q: Factor and find the zeros of the following polynomial and write its behavior

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Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: Solve the following Bernoulli's differential equations. 1. x²y' + 2xy-5y³ = 0

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Q: Water is flowing into a tank at a rate of r(t) = 3√2 cubic meters per minute. How much water entered…

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Q: 3. Sketch the graph of y=-2 sin Show evidence of transformations. Clearly plot your points. y=-2 sin…

A: Given:       y=-2sin2θ-π3+4  This is in the form of y=asinbθ-c+d       Here a=-2                b=2…

Q: For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h…

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Q: 1 x² + 8x + 5 x3 + 12x2 + 15x + 6 dx

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

Q: Recall that an angle making a full rotation measures 360 degrees or 27 radians. What is the degree…

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Q: -1 Evaluate 1×₁√/2 + + 5 1+ 25 A csch ¹1x + C 1 B (D dx csch=15+C csch-¹5+C 1 -csch¯¹|x|+C csch

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: STU વપ (y-1) Ty

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Q: 2) Use the graph of f to estimate the following limits. No work needs to be shown for this…

A: To evaluate the limits with the graph.

Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C' is oriented counterclockwise.…

A: This is a problem related to vecto calculus. Based on the green's theorem we will answer the…

Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: Evaluate the given surface integral a) ff x² ds where S is the unit sphere: x² + y² + z² = 1 b) ff…

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Q: Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values…

A: Here, cos x=1-x22!+x44!-x66!+... Now, using the estimation theorem: |Rn|&lt;bn+1

Q: Find y = f(x) given d²y dx² = 5x² + 2

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Q: f(x,y)=6-3x3-2y2+81x-8y   Find the stationary point(s) of this function.  Determine whether the…

A: We need to partial derivate the f(x,y) to find stationary points.

Q: Evaluate [² (2x − y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: C:x- axis:y=0dy=00≤x≤3=∫03(2x-0) dx +(x+0) 0=∫032x dx

Q: • [F. dr. Evaluate F(x, y) = xi + yj C: r(t) = (3t+1)i + tj, 0 st≤1

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Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: We have to find the surface area.

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤t≤ 1. √(x + 3y²) dy…

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Q: 2. Evaluate fy³ dx-r³ dy, where C is the circle of radius 2 centered at the origin, in the following…

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Q: 1. ff(x) dx + f(x) dx = 2. f f(x)dx - f₁² f(x) dx = 3. ff(x) dx + f₂f(x) dx =

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Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: @[² (d) √x-x (x² + y²)³/2 dy dx.

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