1. The two graphs below (X & Y) show two functions from our library of common functions. For each one: a. Give the equation of the function...be sure to use function notation b. State the domain of the function in interval notation c. State the range of the function in interval notation X. 10 Y. 0 10 15

Q: Compute the determinant of the matrix by cofactor expansion. 325 114 O-56 -8 O110 8

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Q: Consider - 2x 2) (² f(x, y) = e fxx + fyy = 0 cos 2y - e -2y cos 2x. Verify that

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Q: Find the first partial (a) derivatives of the function f(x, y) = x²y√√y + 4y². (b) fxyx of the…

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Q: Carbon-14 decays at a regular exponential rate. The half-life of carbon-14 is approximately 5730…

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Q: Evaluate the integrals using trigonometric substitution dz 2² √2²-4

A: Find the inegrals by Trignormeric substitution

Q: 1. Evaluate Sox2+4* dx 2. Find the area bounded by y = 4x², x = 2 and x = 6. 3. Find the area…

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Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: If y = xcosx, what is dy if x = and dx = 0.2 ? 0-1/2 0-20 05/0 O EN T 10

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Q: Consider the function f(x)=5x2−9x7f Let F(x)F be the antiderivative of f(x)with F(1)=0 then f(x)

A: we have to find the function F(x) .

Q: Set up the equation in solving volume of the solid generated when the area bounded by a = √√√y, x =…

A: Given that,

Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: Use the Limit Comparison Test to determine convergence or divergence. O 8 Σ n=1 O Select the…

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Q: A graph of a model for the sales of services between 2004 and 2008 by a leading global provider of…

A: We have to find the solution of given question.

Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Find the derivative of y = arccos x + x 1-x²

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Q: S dz zlnz (Inz)²-1 Select one: O A. Q B. O C. Q D. arcsec(Inx) + C arcsin(lnx) + C arccot(Inx) + C…

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Q: Write the first five terms of the geometric sequence. a 1 =  -5; r = -3

A: We can find the first five terms as below.

Q: Use an appropriate test to determine whether the series converges. k² +3 2 k + 3k +2 2k²+1 Σ k=1

A: The given series,        ∑k=1∞k2+3k+22k2+1

Q: (a) √ (e² +2²) dz (b) f 3² dr

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Q: A spring requires 7 J to stretch from 1m to 4 m. An additional 4 J to stretch for 4 m to 7 m. What…

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Q: Population of a certain country is growing exponentially at a rate of 1.5% per year. How long will…

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Q: Question 25 A function has a relative maximum if O The first derivative test shows that the slope of…

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Q: f(x, y) = x²y + 4y and x = st, y = 2t - 3s. af and off. af Use Chain Rule to find ds Write your…

A: Follow the procedure given below.

Q: II. Anti differentiate the following. D. (ANTIDERIVATIVES by Substitutions) 1. Evaluate [(x + 4)5…

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Q: Sy²sin (2y) dy

A: Integration by parts.

Q: B A 15. 12 F E D Apply the repeated nearest neighbor algorithm to the graph above. Give your answer…

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Q: The graph shows the average monthly cellular phone bill since 1987. The slope of the curve at point…

A: The graph shows the average monthly cellular phone bill since 1987. The slope of the curve at point…

Q: Question 35 If z = x arctan 0 - 4 OFF O undefined ◄ Previous (²).find əz əx at x = 0, y = 1, z = 1.

A: To find the partial derivative of z with respect to x.

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = tan…

A: The given sequence,   an=tan-1n

Q: x - 1 = λχ y = 2 = λy z = -λz (x² + y² = z² = 0,

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 2, 2) Xx…

A: fx,y=yx, 1,2,2

Q: -1 0 -t³+1 2 3+² e dt

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Q: {Xn} 3. Prove that the sequence 1+2n² 1-3n² Xn where is bounded.

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Consider the following. f(x, y) = 6x9y (a) Find f(5, 3) and f(5.1, 3.05) and calculate Az. f(5, 3) =…

A: Let's find total diffrential.

Q: Evaluate the indefinite integral 9ds s ln(88)

A: We can solve this as follows:

Q: Find the arc length of the following curve on the given interval. x= 12t³, y=18t², 0sts √3 The arc…

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Q: Work problem 3 ( Given the vector function F(t) = (6t³ - )) 5 sec(4 — t)), then find the tangent…

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

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Q: The solution was wrong. What is the correct solution?

A: Solve the following

Q: The figure has a tangent line drawn at a labeled point. 9500 9400 9300 9200 9100 p(t) thousand…

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Q: Use the triangle shown on the right and the given information to solve the triangle. b=4, A=70°;…

A: Given b=4, A=700, a=? c=? B?

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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Q: Find parametric equations for the following curve. Include an interval for the parameter values. 3…

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Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: This question is based on Lagrange multiplier.

Q: 4. Find the power series representation centered at 0 for f(x) = 8x 2+x³

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Q: Use the graph of m(x) shown to answer the questions below. -5 10 50 0 5 a. State the domain of m(x)…

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