lim X - 9 3

Q: Find the angle 8 between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x2 + y2 + z2 (4,…

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Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

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Q: Integration by Trigonometric Subshtunon SxCx?- ax+4) $12 XP

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Q: Here is a graph of the function f. 4- 3+ 2- -3+ -4+ Use the graph to find the following. If there is…

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Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (12,…

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Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

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Q: LIMITS 1. Evaluate the following limits, if they exist. If they do not exist, but approach too,…

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Q: An equation relating demand q and price p is given. Compute the elasticity of demand for the given…

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Q: 37. Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 7, u'(2) = 4, v(2) =- 5…

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Q: 1 4. Determine the value of b and k such that f(x) = kyx – + In (x³) + bx has Vx an inflection point…

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Q: Which of the following is a solution to the equation 4 sin (x) - 2 = -4? 210 degrees and 330 degrees…

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Q: The demand equation for a certain product is 2p+3q = 1500, where p is the price per unit in dollars…

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Q: Find the derivative of the function y = (cos(x))" .

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Q: EXERCISE 1 Solve the following ODE from x = 0 to x = 1.0 using the Euler's method with the step size…

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Q: Let A = and B = . Determine the following: (d) A x B (e) two unit vectors perpendicular to B and A

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Q: A1 3 y = 2x A1 + A2 = A3 1 y = x²

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Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

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Q: Water is flowing into a vertical cylindrical tank or radius 2 meters at a rate of 8 cu. meters per…

A: Given that vertical cylindrical tank that has radius 2 meter and water is flowing rate is 8cu.…

Q: Question 9 Calculate the average of the function g(x) = sin 3x over the interval [pi/2, pi] 5/pi a O…

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Q: An open topped box is to be made from a rectangular piece of metal 18cm x 48 cm by cutting off…

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Q: 1 1+x3

A: ∫11+x3dxSince a3+b3=(a+b)(a2-ab+b2)∫1(1+x)(1-x+x2)dx

Q: Let f(x) = cx -1.24 and suppose that f(5) = 29. Find the value of c. (Round your answer to two…

A: I am attaching image so that you understand each and every step.

Q: Sxsin?xdx 2

A: ∫xsin2xdx sin2x = (1 -cos2x)/2 put this in equation ∫ x(1 -cos2x)dx/2 ∫ x/2dx - ∫ xcos2xdx/2 x2/4 -…

Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

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Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: We can find the position function as below

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: 27. Given the points P(5, 2,-1), Q(2, 4,-2), and R(11, 1,4). Find a unit vector whose…

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Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 3 cm is…

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: |(4e" + 4x + 7 cos a + 2)dæ =, O et – x4 + cos a + 2+c - O 4e? + x4 + 7 cos x + 2x + c O 4e? + x4 –…

A: We have to find value of given Integral.

Q: Show that 2x* dx = [* 2x° dx + f, 2x* dx + f; 2x° dx %3D

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 14 dx V196 -…

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Q: Find the derivative of the function (2y – 1)3 Vyt +1 G(y) = In G' (y)

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Q: dx Vx2 + 2

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Q: Find the Maclaurin series of the function. f(x) = In (1 – 6x) Choose the Maclaurin series. 6"x" In…

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Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: Evaluate the definite integral: 3 dr 3

A: We need to evaluate the following integral ∫13x3-3xdx

Q: Evalua fe the integral 7) Of xy dx sübjcct to the functional relation X = at and

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Q: d) L{e f, sin dr}

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Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: 24 How many 3 letter codes can be formed from the word PROJECT if letters cannot be repeated? 7C3 7!…

A: Number of m letter codes from an n letter words without any repetition can be formed in = nPm ways.…

Q: Evaluate the definite integral: - 6 e!/I dx

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Q: Problem #1:x =- Vy (y – 3); 1 <y< 9

A: Given:  x=13yy-3; 1≤y≤9 To Find:  a To graph the given curve.b To determine the arc length of the…

Q: d for cheese in a particular country for mplicit equation fa unit of cheese and D represents a ce a…

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Q: Evaluate

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Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....