Find the values of the partial derivatives for the function f(x, y); Given f(x, y) = 5x³+4x²y² - 3y², find f(1, 1) and fy(1, 1)

Q: Let f(x) = √√7x-1, g(x)=x²-36, and h(x) = (f + g)(x) domain (f + g)(x) = x-2 Find the domain of the…

A: The functions are:To determine: The expression and the domain of

Q: What is dy/dx for y=cos(sinx)? O a) dy/dx = -sin(cosx) Ob) dy/dx = sin(sinx) O c) dy/dx =…

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Consider the equation −5x +9y = 27 A line parallel to the above line would have a slope of A line…

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Q: a²z Find dx² for z = for Z = y tan(8x)

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Q: How long do you need to invest your money in an account earning an annual interest rate of 5.177%…

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Q: 5. The derivatives of three different functions are given below. Determine a possible equation for…

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Q: In Problems 6-10, let R be the region bounded by y = x² + 1 and y=x + 1.Each problem will describe a…

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Q: 24) Madaurin 4th order of f(x) = sinh(sinx)

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Q: O O O O Find a quadratic model for the sequence. -4,-4, -3, -1, 2 y = 0,5x2-0.5x - 4 y = 0,5x21.5x -…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: 2 dn = 5 n n!

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Q: dy dx C 3x² 3y² - 4 y(1) = 0

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Q: 1) Consider the function g(x, y) = ln(xy). a. Find the domain. b. Sketch a graph of the domain. c.…

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Q: What is the value of the parameter ein f(x) = a-b²+e? O

A: we have given graph. We need to find the equation of graph.

Q: 2. Find the derivative of the function & write your answer in simplified, fully factored form. y =…

A: We have,    y = x7-4x32x3+3x22

Q: Solve the formula for a a 3a + ag 9 = f Submit Question

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Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: r(t) = (4+t)i+(9+ln(cos t))k, -pi/2 < t < pi/2 Find principal unit  normal vector N for the curve…

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Q: Given the region bounded by the graphs of y = In x, y = 0, and x = e, find the following. (Round…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Two investments are made at the same time. The first consists of investing 1430 dollars at an annual…

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Q: Here again, is the triangle from Question 1. 4√3 X 30⁰ Enter the value of y here. If necessary,…

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Q: Find the formula for dif eªy = x² + y².

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Q: In Problems 1-5, let R be the region bounded by y=x² + 3, y = 2x, x = 0, and x = 4. Each problem…

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Q: Two planes are perpendicular if the dot product of their normal vectors is 0 True False

A: Two planes are perpendicular if the dot product of their normal vectors is O ?True false

Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

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Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

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Q: Find the distance from the point to the line. (-4,5,-2); x =2+2t, y=4-t, z=1 +3t The distance is…

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Q: ate the integral dx x² + 4x + 20 by completing the square and using trigonometric subs

A: ∫dxx2+4x+20 which can be written as  ∫dxx2+4x+4+16=∫dxx+22+42

Q: If f(x) = 2e³², what is the average value of f(x) between [1, 4]?

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Q: Question 10 Use the graph to estimate the limit of the function shown in blue as x→0. -5 -4 -3 -2 -1…

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

Q: The following table gives the millions of metric tons of carbon dioxide emissions in a certain…

A: (a) To create a linear function that models the given data, we need to find the equation of a line…

Q: Calculate the acute angle that is formed by the intersection of each pair of planes. a. 2x + 3yz + 9…

A: Given:We are required to:

Q: d the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

A: using  Integral by parts:-  ∫u v dx = u∫v dx −∫u' (∫v dx) dx  here u = ln(x) and v = x^3   u' = 1/x…

Q: Use the slope-intercept form to write an equation of the line that passes through the given point…

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Q: 1. Determine the complete solution of the given differential equation y"+y' - 2y = 2x - 40cos2x. Use…

A: The given differential equation is; y''+y'-2y=2x-40cos2xSolve by method of undetermined…

Q: You are a package designer for Table Tennis Ball (Ping pong) Company. The company needs you to…

A: Given that  Packaging material will cost 0.005 cents per square centimeter  a package designer for…

Q: Select the basic integration formula you can use to find the indefinite integral. 10 81 - °/- U = du…

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Q: /0 1 X-4 x2 – 5x + 6 dx

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Q: Find the constant a such that the function is continuous on the entire real line. x ≥ 1 x < 1 a=…

A: The piecewise function is given where we need to find out the value of a such that the function is…

Q: Write the following numbers in Cartesian form (i.e., in the form a + bi). Use the principal value…

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Q: I sin sin(ln(x)) dx

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Q: Find the length of the entire perimeter of the region inside 13 sin (0) but outside r = 3.

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Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1, 5), Q = (3, 4,…

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Q: Use the parameter to write each rectangular equation as a pair of parametric equations. State any…

A: The parameter is

Q: Suppose f(x)= = -4 6x + 6 Then the expression

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Q: Write the pair of parametric equations in rectangular form. State any restrictions on t² the domain.…

A: To write the pair of parametric equations in rectangular form. To state any restrictions on the…

Q: 1. Solve for x. Round your answer to two decimal places. 2x a) e = 12 4x-3 b) 12 = 3e c) en (2x+8) =…

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Q: Determine whether each of the following sequences converges? Justify your answer carefully. You may…

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Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: According to question,Given Function,ft = 1a3t3-23t2+6945