What is f (3) When x²-9 X-3 f(x) = x when XX3? Assume that f(x) is a function that is continuous for all real numbers?

Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st².

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

A: Given that,

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i3j-k, find vector normal to A and In plane of A and, B.…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Complete the table by determining the amount of money P (present value) that should be invested at a…

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Q: A man has 27 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: A man has 27 coins in his pocket, all of which are dimes and quarters. If the total value of his…

Q: Find the solution of the following IVP: y(t) = = dy dt 2ty=9t²e, y(0) = 5.

A: We have to solve the given IVP.

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given function :- f(x) =3√x  Estimate f'(1)

Q: Calculate the integral where R is the region inside x ^2 + ?^ 2 = 4? and external to x ^2 + ? ^2 =…

A: We have to calculate the integral.

Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: Use the given information to find the exact value of the trigonometric function.  sin θ = 1/4 , θ…

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Q: B a A b LI Use the right triangle and the given information to solve the triangle. a = 1, c= 2; find…

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Q: Given: In (sin² 3t) = e = arc cot (w) Find: dw dt O(1+w²) (6cot (36) e) [ Oet+w²et - 6tan (3t) - 6w²…

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Q: Question 40 The graph of y=2 is concave downward for all values of such that. 0 x 2 0x 0 < Previous

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Q: b) dx c) √₁² (3x² +4x−2)dx

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Q: the formula for the general term (the nth term) of a geometric sequence to find the indicated term…

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Q: Find a point on the ellipsoid x² + 4y² + z² = 30 where the tangent plane is perpendicular to the…

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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: Integrate S 2x² (x − 1)(x² + 1) de using partial fractions.

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Q: Find the limit, if it exists. x² lim X-5 000 A. B. - 2x - 15 X +3 -8 5 C. 0 D. The limit does not…

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Q: Apply the Mean Value Theorem tof on the indicated interval. Find all values of c in the interval [a,…

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Q: Use the given information to find the exact value of the expression.  cos θ = 5/13 , θ lies in…

A: Given :cosθ=513

Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…

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Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…

A: We can find the correct answer by checking the individual options as below.

Q: Question 1 Let C be a curve defined by the vector equation r(t)= <8t³ - 9t, 8t³ +7t, e8³-917. Show…

A: Solve the following

Q: The domain of f(r. y) = Select one True False 19-y V is the upper half of the disc centered at…

A: fx,y=9-x2-y2y

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

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Q: e the figure to answer the questions. point A point B B point C point D point E y C D (a) At each…

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Q: Question 43 What is the horizontal asymptote of y= (x - 1)e-2? O y = 0 to the right O there is no…

A: topic - Horizontal asymptote of a function Line y=L is a horizontal asymptote of the function y=f(x)…

Q: Let f(x) = X x - 3 g(f(x)) = and g(x) = 4 X Find the following functions. Simplify your answers.…

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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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Q: sider the DE: dy (6x²y² - 10)dx. = the differential equation 1:ss

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Q: Choose the direction vector for which the function f defined by f(x, y)= sin(3x) cos(11y) has the…

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Q: Solve the initial value problem: dy dz 9y, y(0) = 1

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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: Sum of first n terms of a geometric sequence is given by Sn=arn-1r-1 where a is te first term and…

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

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Q: Determine whether The given series M8 k=2 ខណៈ k=2 1 √k-1 1 √k-1 converges using the Comparison Test…

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Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Given the function of two variables f(x, y)= ln(√x + 16). The partial derivative with respect to x…

A: Given, f(x,y)=ln(x6+y66)

Q: Choose the correct answer for the following limit: lim (x,y) →(0,0) O -1 0 1 625 x¹-16 y 100 x² +16…

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Q: If z = -9xe-4xy and x = √√t, y = . Then, the value of 27 t = 4 is equal to 4e² Select one: O True O…

A: We can answer the question as below using the rules of derivative.

Q: Find the curvature of the curve defined by the function y=3x^2 - 2x + 4 at the point x=2

A: Curvature is defined as : K(x) = |y"(x)| / {1 + [y'(x)]^2}^(3/2).  Note that :- |y"(x)| means the…

Q: Use the method of Frobenius and the larger indicial root to find the first four nonzero terms in the…

A: Given that      36x2y''+24x2y'+8y=0…

Q: with

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Q: Which of the following curves has a slope of 3 when x = 2? Oy=3e Ο y = " – 2inn Oy-r²-1 0y=³²-2

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Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: L 2x²³ + 8x doc 3 √x² + 4

A: This question can be solved using the concept of integration by substitution.

Q: If f'(1) = 4, f(1) = 2, and g(x) = f(x) tan-¹x, what is the slope of the tangent line to the curve y…

A: Here we have to find the slope of the tangent line.