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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.…

A: Note: ln(a×b)=ln(a)×ln(b)....(i) ln(an)=n×ln(an) ..........(ii)

Q: Use integration by parts to solve for J x secx tanx dx.

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Q: Answer the following questions for the function f(x)=x√x²+1

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Q: 2x + 2 6x³ +5x² - 4x y = 3

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Q: S(7x³-5 √√x + 18 √x x3 + x−40 ) dx

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Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: Find the tangential and normal components of the acceleration vector. r(t) = cos(t)i + sin(t)j + tk…

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Q: Using the Fundamental Theorems of Calculus, find the second derivatives of F(x): esin t b. F(x) =…

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Q: Use implicit differentiation for x² + y² O x/y O 5x O-x/y O -5x = 25.

A: To find the derivative.

Q: What transformation is required to obtain the graph of the function f(x) = 7cosx from the graph of…

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Q: 3+13 -t 5. Consider the vector valued functions x₁(t)= and x₂(t)= t2 -(3) (a)Compute the Wronskian…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find both first partial derivatives. f(x, y) = 8x - 7y + 4 (No Response) (No Response) fx(x, y)…

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Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: Select the correct steps when differentiating from first principles. O a. O b. O C. O d. lim 0+x lim…

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Q: S ³+3 dz

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Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: Evaluate sin'0 cos de Ꮎ

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…

Q: Find both first partial derivatives. f(x, y): fx(x, y) fy(x, y) xy x² + y² = (No Response) (No…

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Q: The position vector r(t) = 5ti+2tj+4tk describes the path of an object moving in space. Find the…

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Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

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Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: Differentiate implicitly to find dy/dx. cos(x) + tan(xy) + 4 = 3

A: The given function,   cosx+tanxy+4=3

Q: At which octant will you find (-8, 13, -1/2)?

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Q: find the area of parallelogram A=(0,2,0) B=(2,5,2) C=(3,8,4) D=(1,5,2) round to 2…

A: The given points are A=(0,2,0), B=(2,5,2), C=(3,8,4), D=(1,5,2)

Q: = Find the area of the region bounded by the curves y on the interval [0, 1] as seen in the shaded…

A: This question can be solved using the concept of area bounded by curves.

Q: 2) × 2+4i 3+1 and 2=3-1 2+i 2 prove that x² + 3xy + y² = 6 if it was

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Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

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Q: Let S be the plane with equation 2x - 3y + 4z = 1. Find parametric equations of a line that goes…

A: Explanation of the answer is as follows

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: 2. Use integration by parts to solve for [x³c x³ cosx dx.

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Q: given u = and v= find 2u+5v

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

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Q: Use a graphing calculator to determine which expression can be used to complete the identity below.…

A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: Find fx and f, and evaluate each at the given point. an(1), (6, -6) f(x, y) = arctan fx(x, y) = (No…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here, the given curves are: y=1+2x, y=2+x2

Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: Researchers at two universities have developed a piecewise function that can be used to estimate the…

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