a) lim f(x) b) lim f(x) c) lim f(x) d) f(0)

Q: A rectangle is to be inscribed inside the semi-circle with its base along the x-axis. The equation…

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Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

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Q: The revenue of a multimillion corporation (in million pesos from 2000 to 2010 is modeled by…

A: In this question, we will find the rate at which the company's revenue is changing in 2008.

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

Q: (-() Write the linear system in matrix form. Assume X = dx = x - y + z + t – 1 dt dy dt = 2x + y – z…

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Q: x + 9 4 х — 3 Solve the inequality 3

A: x-33≥x+92-4

Q: A population growing with harvesting will behave according to the differential equation dy 0.1y(1 –…

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Q: Let f be the function defined below on the given region R, and let P be the partition P = P¡ x P2.…

A: Solve for Lf (P).

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0)

A: To use polar coordinates  that are: x=r cos θ, y=r sin θ & dA=r dr dθ 0≤r≤2-cos θ0≤θ≤2π

Q: 4-ス しx-x2 しim

A: limx→164-x16x-x2Apply L-Hospital

Q: 6. Simplify each of the following using the properties of logarithms: (a) In ) (b) log2(Vt5)

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Q: 20.11. For each of the following, state the appropriate guess for the form for a particular solution…

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Q: Consider the graph of y = S(z) shown below in blue. Estimate the value of the derivative at z= 1.…

A: The correct answer is option (2) i.e. f'(1) = -1

Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…

Q: sin 8 What is the exact value of Show your work for partial credit.

A: Find the value of sin(7pi/8).

Q: A particle moving in a planar force field has a position vector x that satisfies x' = Ax. The 2x2…

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Q: f(x) — х 3 cos(x) Solve this question by the Newton-Raphson method

A: Here, the given function is: f(x)=x3-cos(x) Now, f(0)=0-cos 0=0-1=-1<0f(1)=1-cos 1≈0.4597>0…

Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

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Q: Q5 Find y(2) from the following table: 2 3 4 7 112 466 X: y: 4 58 112 26

A: This is a problem related to finding derivative value from table. Derivative at the particular point…

Q: For what value of x does the function g(x) = (x? – 4)2 attain the absolute maximum in the…

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

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Q: Which example in this section of the textbook shows that estimating limits numerically may not…

A: We have to estimate limits numerically may not always be accurate.

Q: ( b. F = y х )j+ + y 1+x?yz?+ + (1-y²z² 1+x2у2 V1-y2z²,

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Q: 1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x…

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Q: 5. The graph of f (x) is shown in the figure. Let YA y = f(t) A(x) = f f(t) dt F(x) = f(t) dt Area =…

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Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

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Q: | 1-x² y = log10 2- 5x

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Q: Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3,…

A: As we know that; The expression for the the vector projection u onto v is: projvu=u·vv2v And The…

Q: „G+1)* 1. Σ(1+) =D1 2. E-o )" n3D0 2 3. ΣΡ-2 n=2 n2 -1

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: 6. INNICATE If SZilaEs IS convEILENT OR DIUERCENTO IOENTIFY WHOCH TEST(s) USED. n! n?

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Q: RAODUS FIND a of ConuELLENCE foNo AMD INTEiL OF ConvenCENck Of THE (x-3)

A: We have to find radius of convegence and interval of convergence

Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

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Q: V9 – 4x2 x2

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A: Given, 107+6r +7500= 121000 Simplifying the above equation we have, 107+6r = 113500

Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z - 10, (2, 3,…

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Q: x* – 6x3 Find Lim x-0 x3 – 4x

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Q: Find the difference quotient where h+0, for the function below. s)--3x+3x-7 Simplify your answer as…

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Q: Prove that if A and B are any vectors, then the vectors lBl A + lAl B and lBl A - lAl B are…

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Q: 2. fCx) = x+2-100 fcx)= Solve this question by the Bisection method on the copic of solution of…

A: We will solve the equation by putting value of x.

Q: 4. Find the number of surjections from {1, 2,..., m} to {1, 2, ... , n} such that no element in the…

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Q: Find the taylor series generated by f at x = a f(x) =3^(x), a=2

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Q: Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x bottles of…

A: Given problem:- Nana sells homemade hand sanitizers at a price of 75 pesos per bottle. Suppose x…

Q: 5 4) (2 5 5 0 For the matrix A = 2 what is the value of |A|? 3 7 9,

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Q: 3 f(x) =x° – cos(x) Solve this question by the Fixed-point method on the topic of solution of…

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Q: 1. If we are trying to evaluate thef esinx cos x dx, which substitution would be most helpful? А. и…

A: Select the correct option?

Q: What is the difference between net area and total area?  Which does the definite integral of f(x)…

A: Given problem:- What is the difference between net area and total area? Which does the definite…

Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: An algebraic word problem is given. We have to solve it. To solve the problem, we will form an…