The angle between the two vectors is not equal to Select one: O True O False u= <-8, -7, -2> and v= <16, 14, 4> 0= π

Q: Find the total area between the graph of ​f(x)=x^2−4 and the​ x-axis from x=0 to x=10.   The total…

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Q: Use the rules for sums of powers of integers to compute the sum. 18 Σ; j=5

A: We can find the answer in the following steps.

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

A: Solution given below

Q: A lighthouse, L, is on an island 8 mi away from the closest point, P, on the beach. If the…

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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: 10. Use the definition of the limit of a sequence to prove that (3n+1 lim 2n + 5/ for all positive…

A: we have to use definition of limit of sequence.

Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

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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: Hos solv the step? ₁0.9062cos (1-√3x) d x [sin (1-√√3x) -√√3 √³x)] -0.1 -0.1 sin (1-√√3a) - sin…

A: We have to solve the step  sin(1-√3a)= -0.9556+0.9210

Q: State the order of the given ordinary differential equation. dy d²y dx² = V1+ Determine whether the…

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Q: CHECKPOINT 1.22 Find the net displacement and total distance traveled in meters given the velocity…

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Q: 2. √ √x (5 - 2x + x²) dx

A: As you mentioned question no. 2 solved

Q: Evaluate the following integral using inversion of order: SS²x5 dydx

A: I =∫xn dx= xn+1n+1 Ans = 1/72

Q: Which of the following is the area of the region bounded by the function y = x ^ 2 the vertical…

A: To find area of the bounded by the function.

Q: Find a result by using homogenous for (x³ - 3x²y)dx-(x3³ - y³)dy = 0

A: This question is based on solution of Homogeneous differential equation.

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

Q: <Notes Let R be the region bounded by y=1/x, x=1, and the x axis on [1, infinity] and let S be the…

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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: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…

Q: 8. Determine the radius of convergence and interval of convergence for the power series 80 n=1…

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Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: INTEGRATION OF 1/1+TANX

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Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: 6. S नात √(1-x dx

A: The second fundamental theorem of calculus states that if f is continousmapping in [a,b] and F be…

Q: Solve the initial value problem y" + 6y' + 9y = 0, y(−1) = 5, y'(-1) = 2. y(t): =

A:

Q: 9. The following data of the velocity of a body is given as a function of time. Time(seconds) 10…

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Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…

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Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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

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

A: SOLUTION-

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: Find the general solution of the differential equation 49y" + 112y' + 64y = 0. NOTE: Use C₁, C₂ for…

A: We can solve as follows

Q: (x²+1)³ .dx

A:

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

A: In this question, we want to compute the length of the curve.

Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: Find the ZC in a triangle ABC, if angles A = 84° and B = 48.39° O 37.61° O 47.61° O 48.39° O 84° O…

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Q: On the moon, all free-fall distance functions are of the form s(t) = 0.81t², where t is in seconds…

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Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

Q: so (x − 2)(3x − 4)dx

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

Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

A: Topic = Integration None of them

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: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Basic partial derivation is used.

Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

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Q: Let y = f(x), where dy f(x) = = 3 Find the differential of the function. x³ + 3 3 X

A: Find the differential of function

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f f(x)dx 3…

A: