Find an equation in rectangular coordinates for the curve 2r2 = cos (20). (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equation in terms of y and x.) equation:

Q: (-1)" Given: In(1 + x) = En=0' tu+1 if |x| < 1. n+1 1. Find the Maclaurin series for f(x) =…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: First we find partial derivative with respect to x and y.

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: The demand and supply functions for a commodity are given below p=D(q)=81e^-0.048q…

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: (a – x)°dx S(4x + 1)°dx

A: use the substitution method for solving the integral.

Q: Test the series below for convergence using the Ratio Test. 0.7" n=1

A: Given,  ∑n=1∞n40.7n

Q: Find the area of the triangle with vertices P(1, 3, –3), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

A: Here, PQ=Q-P=0,0,0-1,3,-3=-1,-3,3PR=R-P=4,5,1-1,3,-3=3,2,4

Q: Determine if the following statement is true or false. The points P1(12, 8, 9), P2(6, 2, 0), P3(0, –…

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Q: ·4 2. 3 a) Find lim g(x), lim g(x) and lim g(x) X+1 -2 x→1+ b) Find f(1). c) Is g continuous at x =…

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Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

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Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: (3y²+ 2x³)dy + 2xydx=0

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The solution…

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: x* + 3x? + 1) dx 5. 2e*dx 6. S(2e*+4*)dx 4.

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Q: How can you say that S (x² + 5x + C) dx = 3x + 5 is incorrect?

A: Given problem:-

Q: 3. (Section 4.1) Evaluate each indefinite integral. (a) /202 (b) /(3e* + 2)dr 4x (c) / (182² + 6x +…

A: We have to solve in image

Q: Find an equation of the plane through the origin that is parallel to the plane 4x-3y+5z+13=0

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Q: Determine whether the statement is true or false. If the line x = 6 is a vertical asymptote of y =…

A: Please see the answer below.

Q: 2y dx − x dy = 2 dx Solve for  dy dx

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…

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Q: Approximate the area under the curve y=x^2 from x=1 to x=4 using a Right Endpoint approximation with…

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Q: Solve using GEMPS X1 + 3x, + 5х; + 7x4 7x1 + 9х2 + 2х3 + 5x, 5х1 + 7x2 + 7х3 + 7x4 — 8 2x1 + 2x2 +…

A: Given system of equation…

Q: Let a = ci +j and b = 7i + 28j. Find c so that a and b are orthogonal. c =

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: (cotx + tanx)² dx 3 4

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Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: It is given that a projectile is shot from a cannon, the muzzle velocity is v0=500 m/sec at which…

Q: 39+ 5 dy (5y~7)2

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Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z* (5,…

A: To find gradient of the function at the given point.

Q: Convert xy = 7 to an equation in polar coordinates in terms of r and 0. %3D (Express numbers in…

A: Using poler coordinate

Q: dx 21 + C %3D

A: We have to find the value of ?

Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: x(8x*-30x +5x-80) 14. S(x* – 3x³ + [? -2)dx | 40

A: Given : Let the missing value be A∫x4-3x3+A-2dx=x8x4-30x30+5x-8040+C   To Find : The value of A

Q: Use the method of partial fraction decomposition to perform the required integration. 56x + 144 dx 3…

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Q: 3. x-- 2

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Q: 1. Given: r(r+8)(r – 2) (r+2)³ 8(7r-4) (x+2)4 f(r)= with f'(x) = and f"(x) = %3D %3D (r+2)² ' a.…

A: Given that the function is fx=x3-4x2x+22 its first derivative and second derivative is…

Q: 35 (2i)² 4i i=1

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Q: Given y = Vx – 2/x – 2; Find y'. O (E) None of the choices Vz-2-1 y = 2/(z-2)(x–2/z-2) VI-2–1 2(x-2)…

A: Given: y=x-2x-2   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Consider e" S- for all a E R. a. Determine the power series representation of f(x) = xe-5x² for all…

A: We have given the power series of ex  ex=∑n=0∞xnn!  for all x∈ℝ

Q: Are the lines = 7+12t, y = 12–10r, z = 1+2t, and.x = 6+13t, y = 8+2t, z = 10–5t parallel? O No O Yes

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

A: Note : As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: 6. In the large triangle of Figure 16, m is the weight line (it bisects the side to which the line…

A: 6. The vector which bisects the line joining by two vector heads is the mid-point of the two. So,…

Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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