Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) = Need Help? Read It

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(6,…

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Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: 1. Let the matrices be 0 41 -1 2 2 6. [o 21 C = 2 4 li 3 -5 -31 A B =|-5 2 4 %3D 3] 5 41 1] D =|-4…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: This question can be solved using the concept of point of inflection.

Q: n(x) = csc²(;2) Select the correct response: 1 1 CSC + cot(5) - 1 sec"(5e) tan(-e) csc²(-x) cot(r) 2…

A: We have to find the derivative of the above equation.

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: p(x) = sin x cOS X Select the correct response: o tan x O cos x - sin? a sin? r – cos² x .2 -

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Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: Evaluate the indefinite integral of f(x) : = x sin x sin x + x cos x + C COs x x sin x + C - sin x x…

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: The critical numbers of the function f(x) = x³ – 6x2 are x = 0 and x = -4. Select one: True O False

A: Given; fx=x3-6x2   As we know that; To calculate the critical numbers of the function, f'x=0.   And…

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes. point…

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Q: Suppose the function f is continuous on the closed interval (1, 2], f(1) = 5, and f(2) = 9. Then,…

A: Intermediate value theorem: if “f” be a continuous function over a closed interval [a, b] with its…

Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: Using the algebraic technique (no graphs!) we learned in this unit, find the slope of the tangent to…

A: Given

Q: The result of the following double integral is 2 SS T oxy²z dxdzdy = ? -2°0 None of he others O -21…

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Q: Ans: -+ cosx c 1. y' +y2 sin x = 0

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Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: The graph ofr sec 0 = 4 is the graph of a circle. True False

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Q: Question 8 of 10 v(x) = 4 cos(sin(3x)) Select the correct response: - 12 sin(3.r) cos²(3x) cos²(3.r)…

A: We have to find derivative of given function.

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: dx of xcosy+ycosx=xy

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Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

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Q: 2.x h(x) = 5x3 + 6 Select the correct response: 8.x3 15x2 +6 10x + 48x (5r + 6)2 10. + 6x® 5x3 + 6…

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Q: 3. Find a power series representation for the function. (Give your power series representation…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: We have 1 d (In(x² + 1)) : dx x2 + 1 Select one: O True O False

A: As we know that; The Chain rule; fgx'=f'gx·g'x The Power law; ddxxn=nxn-1 And ddxlnx=1x   Given;…

Q: Two people who want to meet each other will show up independently at a random time between 7am and…

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Q: dy Suppose ax 3x + 1 ) /(3 x² + 2x) 1) V(3x2 + 2x ) and y(0) = 1. What is y(5)? O 364.327 264.227 O…

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Q: Question 7 A cable of length L is cut into 2 pieces. One piece of the cable is used to form a square…

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Q: Q4 Find the eigenvalues and eigenvectors of the matrix: 21 1 -1 2 -2 1-1

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Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

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Q: (x² (а3 — 2)da 4x +

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Q: x2 - 5x + 6 A and X-6 Bx+C (a) The given integrand can be split into factors- x+1 (b) The given…

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Q: 12.) Find the area inside r = 4- 2cos(e) and outside r -6 + 2cos(e)

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Q: Find the graph of the equation 4x 2 + y 2 = 4.

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Q: Find the radius of convergence for: 5"z" Σ n!

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Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: Find the standard equation of the circle whose center is at (2, 2) and that passes through the point…

A: Given: Center=(2,2) Passes through the point (5,7)

Q: 2) Zy? + X :0 + x -1 :0

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Q: Vex – 1 dx c2

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Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

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