Answer the question. x2+1, -1sx<0 0

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: Let a b de f A = ghi. Assume that det(A) = -11, compute the following. NOTE: Enter all values…

A: Given :A=abcdefghidet(A)=-11

Q: a) 4x²y - 3xy³ + 6x; d) e²x+3y; b) xy; e) x+y x-y c) xy²; f) 3x²y-7x√y.

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Q: -Q3/As the function f(x,y) = at (-1,2) xy 1 + x² + y² is Continuous

A: Here we have to check the continuity of the function at the given point.

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y-2y-3y=e²t 8. Find a…

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Q: 4dx 3r x-√√x² S

A: Let's solve given integral.

Q: Q2: write and prove an Approximation property for the Supremum.

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: Evaluate lim x tan a x - x cos x

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Q: Prove that sin²x x cos²x x= csc²x-cot²x 4csc²2x

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: 17. The equation A = 400(3)* models the growth of bacteria over time. Let A = the amount of bacteria…

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Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: If the following equality is known to be true: -Ax + B x² - 2x - 3 What are the values of the…

A: see below the answer and calculation

Q: iv) Sº³ §¾½5 √xª + 1 dxdy

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Q: A family has a monthly income of $4052. Their monthly expenditures are as shown in the graph below.…

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Q: Use trig identities to integrate: sinxsec’xdx

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Q: dx h-16x²

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: f(x) = -3 cos (+)-2

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Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = 4x³+ln(3x) si…

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Q: 2) Find the particular solution using the following indicated initial values. (D² +4D+5)y=10e³; when…

A: Given :D2+4D+5y=10e-3x

Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: 1. A man 6ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the…

A: Concept: The similarity of triangles: Two triangles are said to be similar when they are of the same…

Q: Critical Points: Determine the Critical points and its classification. Determine a, b, c and d so…

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Q: Question 2 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

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Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

Q: e2-1 Evaluate: limx→0 2x²+x 01 O ∞ 00 O None of the choices 02

A: The given limit is: limx→0e2x-12x2+x   As we know that; The Chain Rule: fgx'=f'gx·g'x

Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: What is the mass of body if the exerted force of 10 N is accelerated by 5 m/sec^2? O 4.5 kg O 1.5 kg…

A: Find mass of body

Q: By using spherical coordinates, find the volume of the solid bounded below by cone z=√√x² + y² and…

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Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: b. √x+√9-5x²dx

A: Topic:- integration

Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: 3 2s² (s²+5)) Find L 4 transformation. by using the properties of inverse Laplace

A: We have to find the inverse laplace.

Q: 16. Simplify. 5+ (467)⁰

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Q: The binary operation defined as a+b=3a - 2b is closed in all the given sets EXCEPT set of Natural…

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Q: Solve for the power series about x=0 (x² + 5)y" - 2y = 0

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Q: A population of deer grow according to the model N(t) 12(5 + 3t) 1 +.04t 1 where t is in years and N…

A: Let's solve by using diffrentials.

Q: Calculate lim X→-2 x³ + 2x² - 1 5 - 3x

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Q: dy dx If y = (sin x)¹/, then (sin x) ¹/x In(sin x) x² (sin x) ¹/x x - ln(sin x) x² x cotx - In(sin…

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Q: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

Q: Use the power series expansion of ƒ(x) = 1 x)²· 1- x for x < 1 to find a power series ex

A: Remember power series expansion for f(x)=11-x; x&lt;1 is  f(x)=11-x=∑k=0∞xk

Q: Differentials: Determine the differential of the following: 3x² - 6xy+3y²-2x+2y-1=0

A: Given: 3x2-6xy+3y2-2x+2y-1=0

Q: Q4. f(x)=5 and 1(x)de=8 dx = 5 and f(x) dx = 8 then f(x)dx a) -3 b) -13 c) 13 d) 3 dx is given by

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