Find the degree 3 Taylor polynomial T3(x) of the function f(x) = (3x +52) 4/3 at a = 4. T3(x) =

Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

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Q: 1) Find the domain of the vector-valued function r(t) = (3t+1,6,ln(9-t)).

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Q: 17 What is the value of the expression ? ΣΑ A B n D 1.377 1.785 15,606 23.409

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Q: What is the sum of the first six terms of the geometric series 2-4+8-... ? α₁ (1-²¹) 1-r Sn = O S6…

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Q: 1. For the following systems with repeated real eigenvalues, find the general solutions: 1 -2 (₁) x²…

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations y =…

A: This is question related to area of integration which is application of definite integral.

Q: Evaluate the double integral over R= [0, 2] x [0, 3] of the function z = f(x, y) = 5x² - y.

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Q: A box (with no top) is to be constructed from a piece of cardboard of sides A and B by cutting out…

A: area of cardboard=A×B=143 in2height of the box, h=2 in

Q: Anthony rides a train along a straight north south track. His position at time in hour is 3 s(t) =…

A: Let position function denoted by s( t ) Let velocity function denotes by v( t ) Average velocity…

Q: Calculate the limit L = lim (1-3x)6/* or show that the limit does not exist. If the limit is "+∞o"…

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Q: Consider the function f(x) = 2x^3 - 3x. a) Find f'(x) using the definition of the derivative.

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Q: 43. Find the gradient of the function f(x, y, z) = x²e»²².

A: we need to find the gradient  of function f(x,y,z) =x2eyz2

Q: [x+y+z=0 Solve the system of linear equation 3x+5y + 4z = 5 using the following four methods:…

A: To solve the following system of linear equations by specified method. x+y+z=03x+5y+4z=53x+6y+5z=2…

Q: Find the derivatives of the following equations: a) f(x)= log5(x3-x2)5 (simplify fully).

A: Given that f(x) = log5(x3-x2) 5.   We find derivatives of this function f(x).

Q: Find the length of the spiraling polar curve r = 2e60 From 0 to 27. The length is Submit Question

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Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = x…

A: The given function fx=xcos5x. We have to find the Maclaurin series for the function.

Q: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

A: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

Q: Evaluate III. (x + y - 52) dV where E E = {(x, y, z) | Calculator Check Answer 5 ≤ y ≤0,0≤x≤y, 0…

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Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

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Q: Evaluate the limit. limx→2 O-10 O -1 02 05 (−x³ + 2x² − 1)

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Q: d √(x8+2x³+7) dx = 6 dx

A: We know that the integral of x^ndx=x^(n+1)/(n+1)+C  And derivative of x^n=nx^(n-1)

Q: 3. Use the properties of determinants (not the co-factor expansion) to show that 1 x x² 1 y y²…

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) 63 =…

A: arctan(x) = csc-11+x2x

Q: Find the surface area of the part of the plane z = 5 + 4x + 2y that lies inside the cylinder x² + y²…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(9, 3,…

A: We have to show if the given points are of parallelogram and find its area. For this firs we will…

Q: SLS* 1.5 f(x, y, z) dv where V is the volume of the solid region Q. f(x, y, z) = x + y + z over the…

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Q: (9) Express the domain of f(x) = log(2x - 4) in interval notation. A (0,2) B (-2,00) C (2,00) D…

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Q: 9. The graph of f is given below. Find all values of a in (-4, 4) such that lim f(x) does not exist.…

A: NOTE: Refresh your page if you can't see any equations. . if the function has a jump discontinuity…

Q: Graph: y=2cos2x+4

A: To graph the following function. y=2 cos2x+4

Q: Consider the following. 32 [²³ 0 4 2x + 1 dx

A: Given,         ∫03242x+1dx

Q: The surface of the dome on a new museum is given by r(u, v) = 16 sin(u) cos(v)i + 16 sin(u) sin(v)j…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: We have to find the equation of line tangent to the curve. First we will find the partial…

Q: Two partners agree to invest equal amounts in their business. One will contribute $10,000…

A: We need to calculate Amount after 5 years

Q: Approximate the area under the graph of ƒ (z) = − 32² + 32 over the interval [1,9] using 4…

A: Solving the following problem

Q: Find the x coordinates of the stationary points of the curve

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Q: Find the length of the curve. x = 3 cos t, y = 3 sin t, 0 st sm О 9л Ол бл О Зл

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Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A: ∫sin2xdx

Q: 10. Use Euler's Theorem to show that 5(16). Show =1 (mod 16). your work or explain your reasoning…

A: The objective of the question is provided the given identity by help of Euler's Theorem.

Q: Find the area under the function f(x) = 3 x² -2 from x=1 to x=2 06 05 3 O none of these answers

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Q: Find an equation for the tangent line to the curve (x^2/9)+(y^2/36) = 1 at the point (−1, 4√2).

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Q: Suppose that f(x, y) = 4x +9y at which {(x, y) | -5 ≤ x ≤ 2, -5 ≤ y ≤ 2}. D Q Then the double…

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Q: d (tan² (2x³)). dx (a) 202¹ tan (2x5) sec² (2x5) (b) 20x¹ tan (25) 16. Calculate (c) 2 tan (2x5) (d)…

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Q: Evaluate fry³dx + a²dy, where C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5)

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Q: Find the following limit or state that it does not exist. √x-15 lim X-225 X-225

A: Given data limx→225 x-15x-225

Q: 13. Let C be the curve with parametric equations 2=²+2 v=P²-1, 15152 Find the length of the curve C.…

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Q: ). Find the total area of the shaded region shown to the right given by the curve y = 4( sin x)√1 +…

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Q: The linear approximation to f(x) = √49 + 2x at x = () is y = A + Bx where A is is and where B

A: fx=49+2x ; x=0

Q: y=5x².Inx

A: Given data:- y=5x2.lnx