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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: We can find the domain and range in the following steps.

Q: Use this result to either evaluate the improper integral +oo 5xe dr or show that it diverges.

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Q: Consider the following line integral. xy dx + x²y dy, Cis counterclockwise around the triangle with…

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Q: 2r – 3, Use the limit definition of derivative to show that f(x) = I 2 I = 2.

A: for differentiate at point  the function should be contineous at point for contineous limx→2+ f(x) =…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: 17. cos 2x + 3sin2x = 4 - 3sin?x %3D

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Q: If f'(x) and g'(x) exist and f'(x) > g'(x) for all real x, then the graph of y f(x) and the graph of…

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Q: Consider the following planes. -6x + y + z = 6 24x - 4y + 6z = 36 (a) Find the angle between the two…

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Q: 1. A function g is defined as 22 if a 1' g(x) Is it possible to find a value of the constant k that…

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Q: The term a29 of the sequence {a,} given by 4 7 10 13 4'5' 6'7 is 91 33 Select one: O True O False

A: We have to find a29 term.

Q: y" – 2y +y = 0 %3D

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Q: Choose the correct answer 1- The circle x + y 1, this mean :- a- C= 0,0. R=2 b- C= 0,0. R=1 c-…

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Q: 30 25. 2 k(k – 2)(k + 2). - k=1

A: "Since you have asked multiple questions, we will solve first question for you. If you want any…

Q: 2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating…

A: Given problem:- Is the function ƒ(x) = 3/x continuous on the closed interval[−1, 1]? Draw its graph…

Q: If a > 0 and E 4, is convergente then Eola)" is also convergente Select one: O True OFalse if a, is…

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Q: The percentage P of doctors who accept a new medicine is given by P(t)=100(1-e^-0.30t) where t= time…

A: Answer is in step 2.

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(7,…

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Q: Find term 4, term 6 and term 9 given by the formula: n2 + 2n + 1 a = ;n2 1. n+2 Determine whether…

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Q: 3. A curve has parametric equations r = sin(3t) and y = cos(t) where t takes all real %3D values. dy…

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Q: Find an equation of the Ellipse that has Foci (-1,-2) & (7, -2) and vertex (8, -2). (a-3)2 (y+2)? 1…

A: We need to find equation of ellipse.

Q: 1 00 7) Ln=2 (In n)" n%=2

A: Note: “Since you have asked multiple question, we will solve the first question for you. To get…

Q: If the average value of a function f(x) is 3 on the interval [0,1] then the average value of f(x) on…

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Q: Find the f( for this f (x) = l09, x Cos-lx

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Q: Find the gradient vector field of f. f(x, y, z) = x cos(8y/ z)

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Q: Given a surface f(x,y) = -3x2 + (4)y2. Find the derivative in the direction of v = at the point (1,…

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Q: Find a power series representation for f(x) = x2 1+ x3 ° By differentiating the power series…

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Q: Here is a graph of the function h. 3- 1- -5 -4 -3 -2 -1 -3- -4- Use the graph to find the following.…

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Q: 3 а) J(x2 + 2х + 3) dx

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Q: Find an equation of the hyperbola having foci at (1,-2-/25) and (1, -2+25) and asymptotes at 3 r- 4.…

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Q: Find a power series for f(x) = In(1+ x). Hint: In(1+ x) is one antiderivative of (whose 1+x power…

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Q: Find an equation of the plane tangent to the following surface at the given point. V3 cos (xyz) =…

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Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: Determine whether the series 2 (n + 1)/n converges or diverges. n= 1

A: Explanation of the answer is as follows

Q: Determine whether the series is convergent or divergent. 1 1 + 4 + + ... 9. 16 25 Divergent…

A: 1) The given series is 1+1/4 +1/9 +1/16+ 1/25 +.....

Q: c)Find the limit of the sequence a, = nsin (-) Answer:

A: Given problem:-. Find the limit of sequence an = nsin(1/n)

Q: 1. (-1)*z* (2k)! for |피 < ® COS I = for |피 < 0 Use the power series representations for cos r and e-…

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Q: Illustrate the graph: Y x2-3x-4 3. Check whether the function f(x) = is continuous at x = 4. Sketch…

A: NOTE: As per our guidelines, I have solved the first problem in the solution (3rd question). If you…

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 8y dx…

A: Green's Theorem:- To find the line integral of a function along a closed curve C…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 5, –3) vw(7, 5, –3) =…

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Q: If a derivative of a function is constant, the function is: O First Degree Exponential O Logarithmic…

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Q: Consider the differential equation dy 2ty. dt Which of the following is a solution to this…

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Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: dEdt=25-8t(a) dE=(25-8t) dtIntegrate On both sides∫dE =∫(25-8t) dtE =25t -8t22+cE=25t-4t2+cgiven…

Q: Hu Tao has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: Compute the first partial derivatives of the following function. f(x.y) = 5 - tan (x?+2y?) 5=ロ

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Q: : Consider the differential equation y" – 2y – 3y = 5 cos(2x). a) Verify that the family of…

A: Given y(x)=c1e-x+c2e3x-713cos(2x)-413sin(2x)initial conditionsy(0)=-4 and y'(0)=4

Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

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Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

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Q: () 4. For the curve y=c cosh show that p= 5. Find the curvature at (1,-1) on the curve y= x - 3x+1.…

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Q: The series E=1 is convergent. 1+(" Select one: O True False

A: ∑n=1∞ 21+34n