Given f(x, y) = √√x² + y². Find the linear approximation to f at the point (3, -4) and use it to estimate f(3.06, - 3.92).

Q: Solve the equation. 3x²+4= 5x X= (Simplify your answer. Type an exact answer, using radicals and i…

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Q: Refer to the graph of the function and complete the statement. Part: 0 / 11 Part 1 of 11 (a) As…

A: we have given graph of the function.

Q: Solve it on paper!

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Q: 31. ₁*√ (1 + 1) dt St √√t t) 33. T/4 1 + cos²0 cos²0 ST7/4 ӨР 32. /sece tane de

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Q: For the vector-valued function r(t) = (cos 2t, sin -(cos 2t, sin-4) 3 (4) what is the magnitude of…

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Q: lim x →∞ 32 (x+1)³2 32 ex

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

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Q: Find the general solution to the given differential equation. (Remember the constant of…

A: We have to find the general solution to the given differential equation.…

Q: Find the sums (exactly). (a) (b) R=Σ(k-2)(k+1) R = Σ (K-² k=4 100 S=Σk(3k² −4) k=1 Hint: Don't use…

A: a)

Q: Find the second derivative, d^2y/dx^2, where y is defined as a function of x implicitly by the…

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Q: Find the general solution of the given second-order differential equation. y" + 36y = 0 y(x) =

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Q: A zoo supplier is building a glass-walled terrarium whose interior volume is to be 320 ft³. Material…

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Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test, if applicable.…

A: h(t)=t^2+1/t

Q: can you try it again? it is wrong. i dont know how you got A. it only needs C

A: The solution is shown in step-2

Q: 1-6 Evaluate the integral by making the given substitution. 1. fcos 2x dx. u-2x 2. fx(2x²+3) dx, u=…

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Q: Rewrite the following integral using the indicated order of integration and then evaluate the…

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Q: Multiply. (-5+6i)(8-2i) (-5+6i)(8-2i) = (Simplify your answer. Type your answer in the form a + bi.)

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Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: The linear approximation of a function  at  is .

Q: Find an equation of the tangent plane to the given surface at the specified point.. z=In(x-5y),…

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Q: If s(x) = (6x)^4x, find s′(6). Enter an exact answer in terms of a natural logarithm.

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Q: (c) f(2)=In(1²e") (d) f(x) = csc(r)

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Q: Find the exact area of the region between y = 3x² + 12and y = 4x + 4 over [- 3, 3]. Show all work.

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Q: If the formula y = x³ is changed by adding five as shown in red below_ f(x) = (x + 5)³ Which values…

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Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

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Q: The median home price in the United States over the period January 2010–January 2015 can be…

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Q: Find the critical points of f. Assume a is a constant. 1 13 12 = -√3x¹3 - a¹²x 13 f(x):

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Q: a) Find the slope of the curve y=x²-2x-4 at the point P(2,-4) by finding the limiting value of the…

A: The solution is shown in step-2

Q: If h(x)=√√√5 + 4f(x), where f(2)= 5 and f'(2) = 2, find h'(2). h (2) =

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Q: (c) S (tanx) dx

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Q: 1. Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: As per the guidelines I am supposed to solve one question at a time. Please repost other questions…

Q: Use the disk method or the shell method to find the volumes of the solids generated by revolving the…

A: By using disk or the shell method to find the volumes of the solids generated by revolving the…

Q: The boundary of a lamina consists of the semicircles y = √1-x² and y = √36x2 together with the…

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Q: Use the product rule to simplify the expression. Write your answer in exponential notation.…

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Q: Given the graph of f(a) below, what is the open interval(s) over which f'(x) is positive? -6-5-4- H…

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Q: Solve the given initial value problem. y" - 6y' +9y = 0; 23 y(0) = -3, y'(0) = 3

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Q: Find the demand function x = f(p) that satisfies the initial conditions. 600 (0.02p - 1)3' dx dp x=…

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Q: = 6. Determine the positive numbers x > 0, y> 0 which minimize the sum S constraint x y = 50. Use…

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Q: Find the arc length of the graph of the function over the indicated interval. y = 6x³/2+3

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Q: 2. Solve the differential equation. Y y +x, with y(1) = 1 x

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Q: Evaluate f x dx 2 √4x +9 Show all work.

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Q: sub parts to be solved for all

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Q: 4. For each sequence, prove it converges or diverges. If it converges, find its limit. (c) an (2)¹/n…

A: The given sequence are; c) an=(n/2)1/nd) an= n1/2nFind the sequence is converges or diverges.

Q: Evaluate S (3-x-y)dA where R is the region bounded by the lines y = x and x = 1 and the x-axis.

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Q: again

A: Solving the problem

Q: Find the center-radius form of the equation of the circle described and graph it. center (0,1),…

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Q: then f'(x)= and f'(-6)=

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Q: 2 Evaluate f x² sin x dx. Show all work.

A: we have to integrate x2sinxdx

Q: When the interest on an investment is compounded continuously, the investment grows at a rate that…

A: When the interest on an investment is compounded continuously, the investment grows at a rate that…

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars)…

A: By the answering guidelines of Bartleby, we can answer only first question from multiple questions,…

Q: Consider the following function and express the relationship between a small change in x and the…

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