Scot(x)dx

Q: QUESTION 1:-.. a) State the order of the ordinary differential equation and determine whether the…

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Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

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Q: For the following polynomial function, find (A) the degree of the polynomial, (B) all x-intercepts,…

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Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

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Q: 3. The possition function s(t) = -1612 + 30t %3D Find : (a) average velocity over the time int erval…

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Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

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Q: Find the area of the region bounded by: r = 5 – 3 sin 0

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Q: 1. Find the derivative. (a) f(x) = (6x² – 8x + 4)4 2х -5 (b). у %3D 2x2 - 10

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Q: :Q1 Solve the second order differential equation Y " – 5Y' + 9Y = 0

A: Given the second order differential equation is y''-5y'+9y=0

Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: Let f(x) = -0.4x² + 9x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A: Giveen query is to find the x coordinate of the vertex.

Q: 26. Let g be the function defined by g(x) = |. +7 - 2--61 dt. On which of the following intervals ie…

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Q: Two polynomials P and D are given. Use  synthetic division to divide P(x) by D(x), and express P in…

A: The objective of the question is dividing the given polynomials.

Q: 12)List the first five berms of Ehe regence a,=6, aan= 5a -4 as=3 a=? asz?

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Q: In a circle of radius 38, find the length of the arc spanned by a central angle 4 radians. Round…

A: Given the query is to find the arc length.

Q: 2x and y 2x. Decide whether to integrate with respect to a or y. Sketch the region enclosed by y…

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Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = t’i+ t®j K(t) =

A: See the answer below

Q: Calculate following derivative if y(t) 21-3 + 712. (Use symbolic notation and fractions where…

A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: 1. Find the exact x-values of any turning points and the exact x-values of any points of inflection…

A: According to our company's guidelines I can only answer first question, since you have asked…

Q: Q2/ Solve the Higher order differential Equations. (. d*y 16y = 0 2-

A: Here we have to solve higher order differential equation.

Q: dy Q4) Find for the following functions dx 1. y = 2x + e2x-1 2. y = sec x tan x 3. y = t² + 2t t =…

A: Given

Q: If $2400 is invested for x years at 13% interest, compounded annually, the future value that results…

A: We have to solve the compound intrest problem and draw the graph for the same

Q: The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the…

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Q: Find all the local maxima, minima, and saddle points ne function. f(x,y) = /56x2 - 8y² - 16x – 31…

A: When a function has the largest value it is called local maxima  and when it has the smallest value…

Q: Jackie wants to design a cylinder shaped container to hold popcorn. Each container will be made from…

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Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: (Drag and drop the missing words) ]sthe[ An of a definite integral as an endpoint of the interval of…

A: We have to fill in the blanks about improper integral.

Q: Question You have been asked to design a rectangular box with a square base and an open top. The…

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Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Answer the following True or False. If | (f(=) - 9())dx D. gives the area betvween u – f(r) and 1 -

A: Inverse function means it is the reflection along the line y=x. Reflection does not change the area…

Q: Completion Status: A Moving to another question will save this response. Question 5 Suppose a rock…

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Q: Here is a related rates problem: All edges of a cube are expanding at a rate of 5 cm/sec. Let the…

A: We have to choose correct options

Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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Q: Find a parameterization of the portion of the circular cylinder y +z´ = 16 between the planes x = 0…

A: We have to find the parametrization of the cylinder.

Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: The most appropriate substitution to simplify this integral is u = Σ Then du = M dx (fill in the…

A: Given the query is eveluate the integral.

Q: Question The radius of a sphere was measured and found to be 2.0 cm with a possible error in…

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Q: Find a parameterization of the surface cut from the parabolic cylinder z= 1-y by the planes x= 2, x=…

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Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: 7 - over the interval [1, 5] Find the area under the curve y

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Q: Diem 3. Sketch the region enclosed by the curves y = 2x, y = 2x², and find the area of that region.…

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Q: 3x2 dx x3 COS xesinx -5 a) b) dx c) 4x dx esin a X-4 1 /n

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Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

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Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: x cos y + sin 2y = xy

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Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

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