х — 2 g(x) x + 3

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

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: Determine whether the lines Lj and L2 are parallel. L1: x = 3 – 4t, y = 5 + t, z = 8 – t L2: x = 5 –…

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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

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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 if the following statement is true or false. The points P1(12, 9, 9), P2(6, 3, 0), P3(0, –…

A: A detailed solution is given below

Q: Look at the picture below. The blue curve represents the function f(x). At which point is the…

A: A function f is continuous at a point x=a iflimx→a-f(x)=limx→a+f(x)=f(a)Consider at x=-4From…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and 6х — Зу — 3г — 22 — 0. - NOTE:…

A: Find the distance between the parallel planes.

Q: Approximate the critical numbers of the function on the open interval shown in at each critical…

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Q: Let S be the surface given by the equation x^3+y^3-xz=5. What is the equation of the tangent plane…

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Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

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: Determine if the following statement is true or false. The points P,(2, 0, 1), P2(3, – 2, – 3),…

A: We know that three points P1, P2, P3 lie on the same line if direction ratios of P1P2 and P2P3 are…

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: sin4x S V cos4x + 1 dx

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Q: Determine whether the planes are parallel, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

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Q: Answer the following questions. Show your complete solution. 1 Find the general form of the equation…

A: As per the company guidelines we are supposed to answer only first question.Kindly repost the other…

Q: Find the area of the triangle with vertices P(1, 3, –6), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: 7. g(x) at x = 8 %3D 4- x

A: Note:- As you ask solution only of No. 7 so i am solving only it.

Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: (d) All identity matrices are diagonal matrices and vice versa. (e) All reduced row echelon matrices…

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: 3. tane de ) 71+ n cose)/3

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Q: 5. Given the function as f(x,y)=\x² +y² then find the a) Rate of change of f at point P(1, ) in the…

A: This is a problem related to derivative of the function. Based on the general formula we will solve…

Q: Jose must choose between two job offers. The first job pays $62,000 for the first year. Each year…

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

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. The cosine of the…

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Q: Use vectors to find the lengths of the diago that has i + j and i- 22j as adjacent sides. NOTE:…

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Q: Verify that the Mean Value Theorem (MVT) applies to the function f(x) = sin' 37 and find all the…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Let's find.

Q: You have $7000 to invest for seven years. Which investment will provide the greater return:  5%…

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Q: Consider A = ⟨0, 4, 2⟩ ,B =, ⟨6,−1, 0⟩ and C = ⟨3, 0, 1⟩. (a) Find the unit vector having the same…

A: Given vectors A=0 , 4 , 2B=6 , -1 , 0C=3 , 0, 1

Q: (cotx + tanx)² dx 3 4

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Q: Determine the folowing integrais: 32+8 1.1 4x+6 1.2 +3r-10 1.3 se (sin Sx)cos Sx dr

A: In this question we have to find the Integration. Note: As per our policy we are suppose to do only…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: X+3 Evalmating dx 5-4メ-メ2

A: We have to find the integral of given function.

Q: Given: y = sinh(ln(cos a)); Find y'. O (E) None of these O tan(x) sinh(In(cos x)) O sinh(ln(cos r))…

A: Given y=sinhlncosx To find y':

Q: 5. Evaluate a. 3! ×4! 5!

A: According to bartleby guidelines we only provide one solution at a time. Solution 5.  3!×4!/5! We no…

Q: Find the vector component of v = 2i – j + 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…