4х-2 y = Зx+4

Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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

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Q: alculate V3 + 2i. Give your answer in a + bi form. In polar form, use the angle 0 < 0 < 2n.

A: Given query is to find the value of a and b.

Q: 9. Evaluate the following definite integrals. S" V5x – 1 dx 10 а. b. J sin 2x dx

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Q: Solve the differential equation. dy = 5 ex-y dx

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Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

Q: True or False - In deriving the differentiation rules, the word proof is used instead of the word…

A: True, in deriving the differentiation  rules the word proof is used instead of the word derivation.…

Q: Consider the points A(1, –1,4), B(2, –3,2), C(-1, –2, 2), and D(4, 3, –6). (a) Find the volume of…

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Q: 1 Verify if y = -+; xy + y = x² is a solution of a differential equation.

A: We have to verify the solution

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: 4. dx + (x – y + 2)²dy = 0

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Q: Let a=ci+ja=ci+j and b=9i+45jb=9i+45j. Find c so that a and b are orthogonal.

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Q: dx =+c 6. 2.

A: We can solve the given problem as follows:

Q: 2y Find the directional derivative of f(x, y, z) at P(5, 2,-4) in the direction from P to Q(4, 3,…

A: To find the directional derivative of the given function.

Q: Two angles are supplementary. If 2 times the measure of one angle is 6 times the measure of  the…

A: This question is based on that supplementary angles sum equals 180 degree.

Q: Find the vector component of v = 2i – j+ 3k along b = i + 4j + 8k and the vector component of v…

A: Vector

Q: What’s the Taylor series summation for e^x*sin(x) centered at 0?

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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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: dx 3. 5 Sinux

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (– 8,…

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Q: Solve for x in terms of a and b. log x = - 10(log a + log b) + 8 log b° + 5(log b – log a) = x Write…

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Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

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Q: log, r – log, (x + 10) = log, k. %3D 1 Find x if k 8

A: Log

Q: Evaluate the integral of: * dx x2 – 2x + 50 arctan (x - 1) + C arcsec (x - 1)/7 + C O 7 arcsin (x -…

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Q: Use spherical coordinates to show that the volume of a sphere of radius R is V = *nR³.

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Q: Find an equation of the plane that passes through the point P(-7,-2,5) and has the vector n = (-7,4,…

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Q: Can this still be simplified: 1006! 1005 x 21005 If not, will the equation be the same if I turn it…

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Q: The student should answer the question below: Evaluate the given equation: | ydA where T is the…

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Q: Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i…

A: Solution: f(x)=1x-1

Q: An object moves in a straight light according to the position function s(t) = 2te-t where s is in…

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Q: Find the vector component of v = (4, – 1,7) along b = (2, 6, –9) and the vector component of v…

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Q: Exercise I f(1, y)yz (a) Let f(r,y) = rỷ - . Then deduce that f(1,y)zy (Clairaut's theorem). %3D

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Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: We have to find the area enclosed by the curves.

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: Compute the length of the curve r(t) = (21, In(?), r²) over the interval 1 < t < 7. (Use symbolic…

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Q: (a) Express the vector field D = (x² +y<)-1 (xax – yay) in cylindrical components and cylindrical…

A: To express the vector field  in cylindrical components and cylindrical variable.

Q: Find Duf at P. f(x,y,z)=4x^3y^3z^3;  P(1,−2,1);  u=13i+23j−23k

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Q: Maximize f(x, y) = 3xy Зху subject to x + y = 1

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Q: Show that the lines L1 : x =1 – t, y = 2t, z = 5+t and L2 : x 1+ 2t, y = 3 – 4t, z = 5 – 2t are…

A: Let's find.

Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: This is a problem related to series and sum calculation. Based on the available formula and method…

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: Evaluate. (Be sure to check by differentiating!) 1 dx, x# - 3 + 3x 1 dx = 9+ 3x (Type an exact…

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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 parametric equations of the line that satisfies the stated conditions. The line through (3, –4)…

A: A detailed solution is given below

Q: Given the function f(z) = () %3D (a) Find a power-series representation for f(x). n(n+ 1) (b) Use…

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Q: 1 (a) log16 2 = 4' That is, write your answer in the form A" = C. Then А |, B = and C 1 (b) log, 16…

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Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.