The integral of the given function f x2 dx is (9-x2)2

Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: - ſ csc²e cot êī – 5 cot ê dê

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Q: Find the unit vector of n = (-4,-3) . 45 35 5 5 4 3 14 3\ 5'5, 45 35 5

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Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

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Q: -8 17 sine -15/17 -8/17 15/17 8/17

A: Given query is to find the measure of indicated angle.

Q: Let f be a continuous function such that f (x) dx = -4 and 1 f(x) dx = –14. What is the value of 2…

A: As we know that;  The properties of the definite integral; 1). ∫abfxdx=-∫bafxdx…

Q: Consider the following function. f(x) = 16 – x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: 1 dx so that the integral evaluates to - 3x2 integral / Ae2*- 2x³ – 3x² Replace the letter A in the…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: dx J 2x+Vx 1.

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Q: 4. Given f"(x) 2x(x²-3) 2+1) find all intervals of concavity and x-values of any inflection points.

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Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

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Q: V10 x (Væ² +1 – Væ² – 1 d.x .2 - - V5 Vx4 – 1

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: V2+x² lim x-

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Q: y Find the equation of tangent line to the curve y'+ln =1 at the point ,2 (1, 1).

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Q: Integration by trgonometric substitution 1. S_dx (4x-x2) ³12

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Q: Consider the parametric equations below. x = 5t - 4, y = 4t + 2 (a) Sketch the curve by using the…

A: Consider the parametric equation  x=5t-4,  y=4t+2

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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Q: Find the general solution: dy + ycotx = 3eCosx dx y = 3cscx(ecosx) - ccosx b. y = -3cscx(ecosx)+…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Parametric equation of a Line has of the form    x = x1+at  ; y=y1+bt ; z=z1+ct ; where ,…

Q: 4. Given f(x) =x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given…

Q: a. x² + y² = x +y b. x² +xy³ = x c. y = sec(x +y)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find parametric equations for the line whose vector equation is given (а) (г, у) — (6, —5) + t(1,…

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Q: (e2y – y) cos a = e" sin 2r, y(0) = 0

A: Solution is given below:

Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: After solving the problem, we get only one equation. But, there is three variables. So, we have to…

Q: Given: -8 17 sine =

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Q: 4. Given f(x) = x +-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: Find your answer below

Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

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Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

Q: Given f"(x) = 4x – 1 and f'(– 1) = 1 and f( – 1) = - 1. Find f'(x) and find f(4)

A: Basic integration is required.

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: Dver what interval is the graph of the rational function positive but decreasing? 4. 2 -4 -2 -4 a)…

A: Topic:- calculus

Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =<1,2> vector b =<2,-1> Find :- 4a-3b

Q: Consider the following curve. r2 cos(2?) = 9 A) Write an equation for the curve in terms of sin(?)…

A: The given curve is r2cos(2θ)=9

Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: Si x³VI+x* dx? After substitution is performed, what is equivalent to 82 4 vũ du 82 Vũ du 82 Vu du 4…

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Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

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Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

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Q: y' + = 2x/y;;y(0) = 2 3. + 3x²y = 6x²; y(1) = -2 dx 4.

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Q: 2x + 5x 1. Ar + Ba + Cz² + D¤ Consider the function f(x) = An antiderivative of f(x) is F(z) where A…

A: Answer is solved in step 2 using integration.

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

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