If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix j a cannot be determined O None of the others O a is any vector parallel to i × j

Q: 1. ƒ'¸ (3 - 2x)³ dx

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Q: 00 To test the series Σ as is the case with all series of this type.) According to the P-test: the…

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Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following

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Q: ANI (2k + 1)!

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Q: Find the general solution of the following differential equation. y" + 15y + 56y= 0 NOTE: Use c, and…

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Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: R is the region bounded by the functions f(x)=3−cos(x) and g(x)=sin(x). Find the area of the region…

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Q: (b) (c) dy dx separable 7 y-x exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: Express (3*) dx as the limit of a sum. 1

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Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: Evaluate the following integral: SS², 2*x+yz dadydz

A: Solution given below

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: find the general solution (x + yex) dx-xexdy=0

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Q: Which of the following is FALSE? A. integrate f(x) dx from b to a = - integrate f(x) dx from a to b…

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Q: Problem 3. Solve below definite integrals In(x) (e) (²) dr. (d) In(r) dr. * -dx, 23 Т

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Q: Of all rectangles with a perimeter of 28​,which one has the maximum​ area? (Give the​ dimensions.)

A: We can find the dimensions as below.

Q: Could you explain in detail how you got tan^3(theta) = 3. Thanks

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

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Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

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Q: 5. How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: (h) x. yexy - x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: Let a be a real number. Evaluate the following integral: So f +ydady

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Q: An area is bounded by the curve y = sinx, the x axis and the lines x = 0 and x = πT. What is the…

A: We have given curve y=sinx and x axis with x=0 and x=π

Q: Evaluate the following integrals: a) b) cos(x) sin²(x) + sin(x) S = √tln(t) dt. dx;

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Q: B. Determine the general solution for each given higher order differential equation. Write your…

A: We have to find the solution of differential equation

Q: 3. Find a result by using homogenous for (x³ - 3x²y)dx- (x³ - y³)dy = 0 For Figure 1.

A: We have to find out solutions of differential equations

Q: 2 -ƒ_(x−1) -dx √x

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Q: What is the area bounded by the curves y² = 4x and x² = 4y? A. 5.33 C. 8.22 B. 4.33 D. 9.11

A: There are more than 1 questions, as per the Q&A guidelines i am answering the 1st question. If…

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then fxy = -10x e5y True O False O

A: A detailed solution is given below.

Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: so (x − 2)(3x − 4)dx

A: Multiply (x-2) and (3x-4)

Q: Show that the following equations have at least one solution in the given intervals, rcos t 2x² +…

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Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

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Q: Let f be the function that contains the point (-1,8) and satisfies the dy 10 dx x²+1 (a) Write the…

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Q: Refer to the functions fand g and evaluate the function for the given value of x. Select "Undefined"…

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Q: 1. Solve the following linear differential equations with constant coefficients: (i) (D² - 2D + 1) y…

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Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

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Q: Q17 Suppose f(x) Is find f(e). Choose a) 3 b) 1/3 a Solution of your c) 1 d) answer 9 2 y'= (y+3)² x…

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Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: 1. Hint: Horizontal/Slant Asymptotes Rules. Let n be the degree of the numerator and m the degree of…

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Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows