7x a) x2-x-42 b) f(x) = v2 – 3x -

Q: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: (x) = sin(x) ompute (5) + * (5 ) + x" (;) IT 2

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 4. у %3D a sin(2x + 3)

A: To form the differential equation for the given function.

Q: TOPIC: Applications of Integration Plane Area Area between curves Volumes of Solids of…

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Q: Sketch the graph of the function using transformations. y= -2 tun( -) + 1 IT 8

A: y = -2 tanx2-π8+1Midline:y=1vertical shift: 1 units up from x axis.Period:period of tan function is…

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Q: If 0<c <d, then find the value of b (in terms of c and d) for which (x + b)dx= 0. b = (Type an exact…

A: Evaluating the definite integral and equating it to 0

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: 1- use Gauss Elimination to solve the following set of equations: 3x-y+z=-2 x+5y+2z=6 2x+3y+z=0

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Q: The function:  f(x)=2x^3−36x^2+210x−3 has two critical numbers. The smaller one is x= The larger…

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Q: Solve the elementary applications of Differential equation: 1. Suppose that the quantity of a…

A: 1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a…

Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Simplify arctan4 + arctan (round to the nearest degree). 45° 0° 90°

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Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2xy

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Q: Determine whether the area of the given unbounded region is finite. If the area is finite find it.…

A: The region is bounded by curves y=1x4 , x=1 and y=0 which is to the right of the vertical line x =1.…

Q: Use the quotient rule to find the derivative of - 8 sin(r) +9 479 – 10 You do not need to expand out…

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Q: ) Find: dx/dt  at  x=−4  if  y=−3x^2−2  and dy/dt=1. dx/dt=

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Q: The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.1 The…

A: As per our guideline we are supposed to be answer only first three subpart of the question you can…

Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

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Q: Зх — у 3 4 -2x +y = 5 - %3D

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Q: Find sin({ arccos ). (Hint: Use the half-angle formula.) 3/10 V10/10 3v10/10

A: Find the following

Q: Find the inverse of the matrix of the following [1 8 91 1-A=|0 4 6 Lo o 3] 2 [3 2- A=5 -1 3

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Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

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Q: Simplify tan(A+ arcsin?). O (2V13)/13 (3 V5)/5 (2 V5)/5

A: Given query is to simplify the expression.

Q: Question Select your answer. Find a number within the interval [-5, 5] such that the sum -5 of the…

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Q: A rectangular container with an open top is to have a volume of 10 m.. The length of its base is…

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Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

A: Given

Q: Evaluate sin[2 arccos( -). -30/17 V(33)/17 -240/289

A: Please see the answer below.

Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: Evaluate y = arcsin. 품

A: Given

Q: 6. Evaluate ds using the following methods. A. Trapezoidal Rule with n = 4. Round to 4 decimal…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: t3 sin 8t

A: Given problem:- t3 sin(8t)  To find:- Laplace Transformation of given function

Q: sin 2x dx Evaluate the definite integral: COS X

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Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: 2. y = loga(x³ + 2x – 2)

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Q: 2. * S arctan x dx 1 In(x²) + C C 1. x arctan x C A x arctan x -In(x² + 1) + C -- B 1 D x arctan x…

A: Solve the given integration

Q: 3 A body moves along a horizontal line in accordance to s t + 912 + 24t. Find the total distance…

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Q: 16 10 f(r)dr f(x)dr f(x)dr where a and b =

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Q: Learning Task 4: Given the equation x2 +y² =9. 1. Differentiate using implicit differentiation. 2.…

A: Since, the student has mentioned to solve only part numbers (4) and (5), so we are solving part…

Q: If 0<c<d​, then find the value of b​ (in terms of c and​ d) for which ∫cd(x+b)dx=0.

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Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

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Q: Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (a) Find the angle between the two…

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Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.