Find the linear approximation of the f(x,y)= (x/x+y) at the point (1,4). Answer: f(x,y)=?

Q: Question 1 Find the solution to (2x+3) y'=y+ (2x+3) ²; x = -1;y=0 2y = (2x + 3) ²1n (2x + 3) y=…

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Q: Suppose the following people went to a summer camp: 27 boys, 15 city children, 27 men, 21 non-city…

A: Given: There are: 27 boys, 15 city children, 27 men, 21 non-city boys, 42 people from the city, 18…

Q: Find the limit. lim x+0 sin² (7x)

A: Given query is to find Indicated limit.

Q: Is the function f: R → R defined by is f(x) = x² + 3x − 2 injective? Show clearly why or why

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Q: Solve the given equation by variation of parameters. y" + 2y'+y=9ex

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Q: I Given, dr=b(cos@dr+rsinºd€) ; r (ñ) =1, Find r(7). O 1 1+b 1+b 2 1 1+b b 1+b (1-b)

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Q: Use the substitution = 5 tan(0) to evaluate the indefinite integral S 1dx x²√x² +25 + C

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Q: Estimate the area between the x-axis and the graph of f(x) = 9-2² over the interval [-2, 1] by using…

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Q: 3. The points A(0,1), B(2,0) and C(3, −4) form a triangle. Find the angle ZBAC. (a) ∠BAC = arccos…

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Q: The pressure P (in kilopascals), volume V (in liters) and temperature T (in kelvins) of a mole of an…

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Q: Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the…

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Q: When demonstrating that lim suffices? 8=0.000004 = 0.000001 ✓=0.000002 1 = ∞ with M = 100000, which…

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Q: Given: z = x² + xy², x = uv² + w³, y=u+ve™ Find when u = -2, v = 1, w=0 Əz Əv

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Q: A graph of a function is given. Use the graph to find the indicated values. y 4 0 (a) f-¹(2) (b)…

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Q: m Determine for which values of m the function $(x)=x" is a solution to the given equation. 5x²d²y…

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Q: Use the graph to find the indicated limits. Step 1 of 3: Find lim f(x). x-1 -10 -5 -10 Enable…

A: Find limit

Q: Given the equation y = 4 cos (7x - 21) + 6 The amplitude is: The period is: The horizontal shift is:…

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Q: For the following function find (a) f(2), (b) f( − ½3). (c) f(a), (d) f if x #2 f(x) = 2x+4 x-2 7…

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Q: (xave cos (x²) 1-x4

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Q: Let f(x) = 5x2 − 2x. (a) Find the instantaneous rate of change of f(x) at x = −1. (b) Find the…

A: See below the answer and calculation

Q: State the first 4 terms of each sequence, then explain why each series is convergent, divergent, or…

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Q: If a = [1, 2]  and  b = [2, 7], find a + 2b.

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Q: The cost of producing 330 calculators is $2455. Producing 570 calculators would cost $3895. Step 1…

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Q: A record company has determined that the cost of producing CDs is $0.06 per CD plus $597.60 per…

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Q: Consider the following. T = e-4r cos(8) Find the first partial derivatives. r To || Trr Tre Ter Find…

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Q: Consider the following equations. y = x² - 4 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

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Q: 8. Find the equation of the tangent line and the normal line at the point corresponding to the given…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find all values x= a where the function is discontinuous. For √x-9 k(x)=2e

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Q: Solve 2 cos² (w) - cos(w) - 3=0 for all solutions.

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Q: 2. Let f(x,y) = x2 + y xy³ (a) 0 (b) 1 (c)-1 (d) 1/2 (e) Does not exist. Find lim (x,y) →(0,0) f(x,…

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Q: y = 3√x + 4x 2x2 -31 (1) - 1 (-2) - 4 2 х

A: Given query is to find the derivative.

Q: What is the length of the latus rectum of; 4x² +9y² + 8x - 56 = 0

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Q: Let f(x) x = 0. = sin (7x) + cos(14x) + e³. What is the slope of the tangent line to the function at

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Q: (a) (b) the direction at which the derivative of f(x, y, z)=2xy + yz at the poin P(1,-1,1) is -4. dy…

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Q: 5. Given the complex number A = 4 + j5, B = 2 - j3, and C = -2- j4. Calculate A + B and A+C. Show…

A: Please see the below picture for detailed solution.

Q: Learning Target DC1: I can compute derivatives correctly for power and polynomial functions, and…

A: Concept: A derivative is the term used to describe the variable rate of change of a function with…

Q: Consider the following function. Answer f(x) = x - Step 1 of 2: Find the slope and the y-intercept.…

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Q: dv Draw a dependency diagram, and write a chain rule formula for ds where v=h(p.q), p = f(s),…

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Q: The force F on an object is the product of the mass m and the acceleration a. In this problem,…

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Q: 4) Let A(x) = ₁3dt. Find a formula for A that does not involve an integral. 3t+1

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Q: a lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline…

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Q: Find the solution to (ylnx) (lny) dx + dy=0. Ox(lnx-1) + In|lny |= C O xlnx-x= - In|lny | + C…

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Q: Prime Interest Rate The function P, whose graph follows, gives the prime rate (the interest rate…

A: The function P, whose graph follows, gives the prime rate (the interest rate banks charge their best…

Q: Use the Squeeze Theorem to evaluate: lim 70 71³ sin Z +

A: The given limit is limx→07x5sin5x+3. We have to find the limit using squeeze theorem.

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve…

A: Introduction: The position vector r(t) is twice differentiable function. Whose first derivative is…

Q: Find all values x = a where the function is discontinuous. For each value of x, give the limit of…

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Q: Find f[g(x)] and g[f(x)]. f(x)=√√√x+2, g(x) = 18x² - 11 f[g(x)] = g[f(x)] =

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Q: If y = √√√2-3x², find encl sack the third derivative.

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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