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Q: dy Find for the following expressions: dx a) y = x5 In(3x)

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Q: A function f(x) has a critical number x=c. Which of the following statements is always true about…

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Q: 4. DETAILS LARCALC11 11.5.056. Find an equation of the plane with the given characteristics. The…

A: Let's find.

Q: y = |x|, y = x² – 1, x = -1, x = 1 - г2 — 1,

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Q: t3 sin 8t

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

Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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

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Q: For what value(s) of z on [0, 7] is the value of f(z) = sin z +1a maximum?

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: PROPER

A: We will solve this homogeneous differential equation.

Q: y^2=(x^2 - 9)/(x - 4) find the x and y intercept, symmetry, region/scope, asymptotes, critical…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 -5 + 2e-* f(x)…

A: The objective is to evaluate the limit.

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

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Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: At a point 160/3 feet from a building, and in a horizontal line with its base, the angle of…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…

A: Given: xyz=12 (1,3,4)

Q: Solve for the following application of first order differential equations. Show your solutions. 5. A…

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x° -…

A: Here we have to factorize the given cubic equation.

Q: 10 (vi) / 1+ x dx x2 + 100

A: The given integral,     ∫0101+xx2+100dx

Q: Simplify using either an Addition / Subtraction Formula or a Double Angle Formula, and then evaluate…

A: Solving the problem by finding the value of the expression.

Q: /2+ x² 2) Lim X

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

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Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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Q: 2. The growth rate (in inches per year) of the diameter at breast height of a certain tree is given…

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Q: If the surface area of a cube is increased by 96%, by how much has the edge increased? 96% 92% O 40%…

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Q: Use the figure to estimate the limits if they exist. 30+ 20 10 -10 10 20 30 If the limit does not…

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Q: 3. x'sec'ydy - (1– 2x'tany)dx = 0

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Q: O 2y = x In cx?

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Q: What are the relative extrema of the function f(x)=x^3+3x^2-24x+7 a. relative minimum of -4,…

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Q: d) 2x³y + e2y = 4x + 5x²< e) y = (2x* + 4)4*

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Q: e* +e* –x? - 2 Lim sin? x– x? 2

A: To solve the given limit of the function

Q: What are the relative extrema of the function f(x)=x3+3x2-24x+7 a. relative minimum of -4, relative…

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Q: Integral Calculus: Integration by Parts (Original method

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Q: S sin Vx dx

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Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: Q5: (a) Let 1 A -1 0 2 and B = -1 2x2 3 2x2 Evaluate A×B (b) Find the inverse of: 1 0 0 0 A = 2 1 0…

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Q: x(1-x')y = x' + y-2xy? ソ=

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Q: (x² + y² ) dx – xydy = 0 O 2y = x In cx² O y? = x² In cx²

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Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: Let us consider a differential equation of the form, dx/dy +xf(y)= g(y) Then it's integrating…

Q: 5. (xe*dx (1+x)2

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Q: What is the approximate value of x in the figure below?* 723 58 427 3244 ft. 3169 ft. 820 ft. O 3322…

A: Find your answer below

Q: Consider the solid obtained by rotating the region bounded by the given curves about the y-axis. x =…

A: Given problem:- Consider the solid obtained by rotating the region bounded by the given curves…

Q: dx x* +3

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Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cmlong,…

A: Let the edge length of the cube be 'a' units

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: To determine whether the given function is homogeneous or not.

Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

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Q: *** . ***** ******* . Determine whether the lines intersect, and if so, find the point of…

A: To find the point of intersection of given lines.