| (8z + 4z³ - 6z²) dz? O 16z²+z4-2z³ + C O4z²+z4-22³ + C 16z²+z4+ 2z³ + C O 42² +224 + 2z³ + C

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: Write an equation for the function graphed below 4 y = 3+ 2+ 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5+…

A: topic- equation of a function

Q: - The complementary function is १ex . Ус where C₁, C₂, C3, C4 си the particular Solution se = c₁ex +…

A: This is a problem of ODE. Please follow the procedure given below.

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

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Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

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Q: Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k −…

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Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: Find the directional derivative of the function at P in the direction of v. 1 = √₂ (i+j) f(x, y) =…

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Q: -. Let R be the region bounded by the graphs of the equations y = ln x, y=0 for 1≤x≤e. Set up…

A: A detailed solution is given below.

Q: нх У - 169 = 19.2 ё + воё, усо) =ўс) 4Х 4X -4Х Ans: y=2.2 +e+24xe X - Че

A: Solution of given question is written in below steps.

Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

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Q: Solve 4 sin x = 1.35,3.65 x = 3 for the four smallest positive solutions Give your answers accurate…

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Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: For So √ 1² dt. use a change of variables to evaluate the definite integral. √5+t²

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Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Consider the following. u =(-4, 0, 2) v = (7, -7, 0) Find u x v. Determine if u x vis orthogonal to…

A: topic- vectors if dot product of two vectors is zero, then both are perpendicular to each other.

Q: How much must a person save monthly at an interest of 7.3% to buy a $15,000 car in five years?…

A: We have to find the monthly amount to save.

Q: A textbook company publishes computer, educational and utility type of books. Their business…

A: We have to find how many educational books should the company publish annually for maximum profit.

Q: 9. Consider the function y = 22 with derivatives 2(6-2) dr² Find any horizontal asymptotes of the…

A: Concave Up , if the second derivative is positive . Concave down , if the second derivative is…

Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: Please

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Q: The arc length of a given function is determined by √1+f'(2) dz Find the length of f(x)= (2/3)…

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Q: Use the power series f(x) = In (1-x) = -for-1sx<1, to find the power series representation for the…

A: The power series fx=ln1-x=-∑k=1∞xkk, for -1≤x&lt;1 we have to find the power series for px=9x8ln1-x

Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: O O O O O IfE is the solid hemisphere a² + y² +2²5 49 and y 20, set up the integral using spherical…

A: Solution: In converting to spherical coordinates, we use so that

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

Q: Find the area bounded by y = x(x-1)^2, y = - 2 and the line x = A 10/3 = 2 B 5/3 C No of the options…

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Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

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Q: 2. Find lim (√x + 2 = √2).

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Q: Which of the following graphs is the correct plot of y = 3 sin(x)? -4 3 2 1 -2 -5+ 5+ 1 2 3 4 O 6 3…

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Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Find an angle coterminal to  25π/3 that is between 0 and 2π

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Q: 1 if x > 0 x²-1 if x ≤0 g(x)=x-1

A: Given the function, gx=1x-1if x&gt;0x2-1if x≤0

Q: y" - 12y' + 36y = 12x + 3 nd the complementary function for the differential equation. _(x) nd the…

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Q: The indicated function y₁(x) is a solution of the given differential equation. 6y"+y'- y = 0; y₁ =…

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Q: A bank offers a 12% interest to be compounded annually. How much should a teacher deposit now if he…

A: A bank offers a 12% interest to be compounded annually. The teacher wants to receive Php. 15000 at…

Q: write on paper for upvote please. Provide Exact

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Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

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Q: Write an equation for the function graphed below -7 -6 -5 y = 4 110 123 ku 3 4 5 6 a

A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: 1. Find and classify all critical points of the function f(x, y) = x² + y²-3x - 4y.

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