Find an equation of a plane containing the three points (-5, -4, -3). (-10, -3, -1), (-10, -2, 1) in which the coefficient of r is 0. , = 0.

Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: 6dz S(VE – )dt

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Q: vith nonzero terms and let m Which is valid An converges absolutely. an converges absolutely an…

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Q: -15 n answer does not exist, enter DNE.)

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Q: Find the vector component of v = (4, – 1, 7) along b = (6, 6, –7) and the vector component of v…

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Q: 56. ● Cost Equations The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by…

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Q: Compute the partial derivatives shown for the given function. 5 ху f(x, y) = + ; find fy, fy, and…

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

A: Given problem:-

Q: If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and x/2, evaluate the expression using…

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Q: Barbara boards a Ferris wheel with a 50-foot radius. The center of the Ferris wheel is 60 feet above…

A: Given information:…

Q: Find parametric equations of the line through (-3,0, 4) that is parallel to 5i– 8j+k. x(t) y(t) =…

A: Parametric equations of a line passing through the point P(a,b,c) and parallel to the vector v→=…

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

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Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

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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: Which of the following is not a p-series? (A) 2 -4 n n=1 (B) n n=1 1 (C) ne n= (D) en n=1 8. 3.

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Q: Find the gradient of the function at the given point. In(x2 – y) – 9, (3, 8) z = Vz(3, 8) =

A: use partial derivative for finding the gradient.

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: (cotx + tanx)² dx 3 4

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

A: Solution is given below:

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

A: Follow the procedure given below.

Q: х — 2 g(x) x + 3

A: Maclaurin series of the function g(x) is                 g(x) ≈ g(0)+g'(0)x + g''(0)…

Q: 1)" | Given: In(1 + x) if x < 1. n +1 n=0 1. Find the MMaclaurin series for f(a) = x In (1+ 5 )

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Q: Determine the sum of the series п(п + 2) n= if possible. (If the series diverges, enter 'infinity',…

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Q: The sizes of two matrices are given. Find the size of the product AB and the size of the product BA,…

A: Given A is 3 x 1; B is 3 x 1 To find size of AB &amp; BA:

Q: 9. f(x) = cOs x, a =

A: Follow the procedure given below.

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

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Q: Write the scalar equation of the plane with normal vector - [1, 2, 1) and passing through the point…

A: We know that equation of plane passing throgh the point (x1,y1,z1) and perpendicular to the vector…

Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L1:x = 2 + 8t,…

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Q: Convert the equation r = 4 sec (0) from polar coordinates to rectangular coordinates. (Express…

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Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: We have to determine if the given statements are true or false.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint.…

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Q: Solve the following and show the complete solution. 1. Find Duf at P: f(x,y) = sin(8x – 5y); P…

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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: Determine the sum of the following series. 1" + 6" 8n п-1

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Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: Indicate all critical points on the graph of † in the figure below and determine which correspond to…

A: Consider the figure

Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: We want to use the Basic Comparison Test (sometimes called the Direct Comparison Test or just the…

A: We have to find if first series converges.

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

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

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Q: please answer the ff asap Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Let the three positive integrar are x, y and z

Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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

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Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

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Q: Find the flux of the vector field F(x, y, z) = (yz, y°, xz) %3D across the surface S, where S is the…

A: Given

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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