Find the exact length of the curve. y = In(sec(x)), 0≤x≤ w|ले

Q: IF B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if…

A: Let's find determinant of given matrix.

Q: at L'Hôpital's rule may not apply or may require multipl w and, if necessary, fill in the answer box…

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Q: Find the limit of the following. Use L'Hôpital's rule, if applicable. Use - ∞ and ∞ when…

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Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: If x² + x = 1 Find 8 + 5* x+1

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Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: 12.) S³ S² (3x - 2y ¹) dy dx

A: according to company rules we can answer only the first question and rest can be reposted.

Q: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

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Q: 16. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is 3π 2 A.…

A: This is a basic application of derivative problem

Q: What is the equivalent limit of Riemann Sum expression of the definite integral So (4-²-x) dx?…

A: Given that,

Q: Find (x,y) for the lamina of uniform density p bounded by the graphs of the equations x = 169-y² and…

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: 1 r+5√√x+6 dr

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Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.

Q: Find the indicated limits, noting L'Hôpital's Rule wherever it is used. lim (1-ª)* (constant a)

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Q: Suppose w = x³yz + xy +z+3 and x = 3 cost, y = 3 sint, z = 2t. Then dw dt t= . [Show solution.] =

A: Given :w=x3yz+xy+z+3x=3costy=3sintz=2t

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: Evaluate √t (3t-t²) dt

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Q: The approximated value of the integral fe* dx is equal to - Rule with step size (h=2). when using…

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Q: 5. The sequence of partial sums of the equation Σ (a)3/2 (b) 3/4 n=1 3n-1 (c) 1/3 (d) -1/3

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Q: Two matrices A and B are multiplied to get AB if O both are rectangular both have same order number…

A: If A and B are two matrix then matrix AB is defined only when  (A) A and B are of same order (B) The…

Q: /. Find the limit of the = lim 4-√x²77 X - 3 1

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: III. Evaluate the given definite integral: ₁*√x edx

A: ∫14 xexdx here we have to integrate using substitute method  so for that lets substitute x = v dv/dx…

Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: z²+1 5. S ₂²³(x+5) I

A: Let's solve given integral.

Q: a-limx. 1x-4 Tollowing b- limx-o (sin (sin x) c- limx→→z 5x²+x³ 10x +2x5,

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Q: A gallon of milk is slowly leaking inside your refrigerator. The number of ounces in the container,…

A: The given data is: V(t)=128e-0.007t To find: How fast is the milk leaking from the gallon container…

Q: sin r√9+ cos² rdx

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Q: ♡/ Find the Domain and the range of the function F(x)=√x-2

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Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

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Q: 8. y = In (In (In x))

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Q: ○y-3 = cx6 + 3²

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Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

Q: 58. A. Which of the following differential equations has x² – 4y² = 8 as a solution? no gai dy dx =…

A: Derivate the given equation with respect to x.

Q: If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b…

A: Given statement: If the vectors a and b are such that a=kb where k is apositive scalar, then the…

Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin(x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: The vectors a (4, -10,8) is perpendicular to the vector b (8,-8, -14). Select one: True False

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Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if 3 4…

A: According to question,Given MatrixA = 123456101

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function:fx=12x3-63x2-72x+6

Q: 2. Evaluate the double integral over the rectangular region R. (a) ffx√1-x² d4; R={(x,y):0≤x≤1,…

A: dA is the small changes in area due to small change in lenght and breadth i.e dx and dy so dA can be…

Q: Compute TOT/ cos(y³) dydx. [Hint: Change the order of the integration.] Show your solution. Select…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

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Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0