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Q: Evaluate the double integral over the given region. 9x sin xy dA, R: OSXST, Osy<1 R

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: Find the Maclaurin series of the function f(x) = (6x²)e¯1×. f(x) = C,x" n=0

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Q: Find the vector of length v7 in the direction of AB + AC

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Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

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Q: 2. All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: topic- application of derivatives

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: We need to evaluate :

Q: Find the arclength of r = (1+sin(2θ))^(1/2) for 0 <= θ <= π

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Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

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Q: 1-y Q2: Evaluate fo y²(x² + y²)dx dy -1

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Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1…

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Q: 9х1 +5х* +2 3x- 3х-2

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Q: An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete…

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Q: +*=1 are The vertices of the ellipse given by (2, 1) and (1, 2) (0, 1) and (0, – 1) Option 1 Option…

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Q: 4. Find the directional derivative of f (x, y, z) = e* cos(yz) the point (1,-2.0) in the direction…

A: I have authority to answer only one question, so  I am posting answer for 1 st question

Q: The power series representation of 1 f (x) = 5x + 4 is: 5 25 125 x+... 256 | - 4 16 64 125 x+... 256…

A: In this question we have to find series form of the function.

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

A: Answer is given below

Q: What are the local extreme values of the function f(x) = x³ – 3x + 2?

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.…

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Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: C Fnd the firet order parho derivohve of 4.5 f(x,4,2)= e* +y2 1.

A: We have to find the partial derivatives.   According to our guidelines we can solve only one…

Q: Find the area K of the triangle. 60 ... K= square units (Round to two decimal places as needed.) 2.

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Q: What are intervals of concavity of the function f(x) = -2x³ – 6x? – 6x² - 3? Concave upward on (-o,…

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Q: Given: (6, 0, –2) and (0, 8, 0). (6,0, –2) × (0, 8, 0) = æi + yj+ zk. Find x +y+ z.

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Find all the second order partial derivatives of the given function. ​f(x,y)=xy2 + yex^2+5

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Q: Given the serles Does this series converge or diverge? O diverges O converges If the series…

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Q: Two lines have equations L1: (0,0,1) + s(1,-1,1), s e R and L,: (2,1,3) + (2, 1,0), e R. 10. What is…

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Q: In a race, Anita Hurrie walks 100 m due east and then walks N70 E for 60 m. How far is Anita from…

A: First draw the diagram then make a vector ..and then find the magnitude of this vector. And use the…

Q: Solve the equation on the interval 0 s0< 2n. 2 sin 0 + 1 =0

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Q: Problem 5 3 For the function f(x) on the interval [1, 5], answer the following questions:…

A: According to guidelines,  We must answer only 3 sub-parts of multipart question given. So I have…

Q: etermine the absolute maximum and absolute minimum values of the function f(x)= x2 - 11x + 18, where…

A: Given: f(x)= x2 - 11x + 18

Q: In each part, evaluate the integral, given that SIx - 61, x 2 0 f(x) : x + 6, x < 0 ' %3D

A: The solution is given in the next steps.

Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

A: Given query is to find series converges or diverges.

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

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Q: Find the equation of the line tangent to 2e"y = x + y at the point (2, 0). Write the equation in…

A: Given query is to find the the equation of the tangent to the curve.

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .

Q: Ул4 — dx 2x2 + 1 3,

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Q: Create a function where the domain is not a set of numbers and the range would be the set of whole…

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Q: what

A: We will find the velocity and time

Q: 4 4 Use the transformation u= 4x + 3y, v=x+3y to evaluate the given integral for the region R…

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Q: answer

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Q: 29 – 49 - dy C. 2+ 4y · Evaluate using substitution

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Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30

A: We have to find the nth term of the sequence.

Q: Find the slope of the tangent line to the r=2-3cos 0 in polar coordinate at 0 =

A: Given:-r=2-3cosθdrdθ=3sinθTo convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y)…

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…