The sum of two positive numbers is 18. What is the smallest possible value of the sum of their squares?

Q: The graph below shows a transformation of y S 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 y = 1 D 3 4 5 2.…

A: topic- equation of a function

Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

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Q: What is the equation of the curve that passes through the point (2, 3) and has a slope of ye-2 at…

A: Topic = Differential equation

Q: Given sin a = 0.019 and cos 3 = 0.342 with both angles' terminal rays in Quadrant-I, find the…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. JC C: x-axis from (0, 0) to (0, -3) and (0, -3) to (9, -3)

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Q: on for this differential equation problem:   The part of the normal to a curve, at any point (x,y)…

A: answer is in next step. please give a like !!!

Q: X2-x+2 x3+4x xp

A: The given integration is: ∫x2-x+2x3+4xdx To find the value of the given integration.

Q: Suppose that f(x) and g(x) are two functions and we know that: ƒ( − 3) = 0 g( − 3) = 2 ƒ'( − 3) g'(…

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Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: Consider the following. u = 7i + 9j v = -3i + j + 8k Find u x v. Determine if u x v is orthogonal to…

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Q: ind polar coord in radians (-4₁-4√3) of the points

A: We will solve.

Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = u =…

A: As we know the expression for the gradient vector. ∇fx,y=i∂∂x+j∂∂yfx,y=i∂fx,y∂x+j∂fx,y∂y The given…

Q: 4. Match each of the following differential equations with a solution from the list below. A. y =…

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Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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Q: Choose the expression that completes the following equation so that it is an identity. tanx+cotr = O…

A: Given,  tan(x)+cot(x)=sin(x)cos(x)+cos(x)sin(x)                        =sin2(x)+cos2(x)cos(x).sin(x)…

Q: Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

A: The given sequence an=6n+7n1n

Q: Solve the triangle a = 6₁ c = 5, B = 54 b = S لان A=

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Q: Given the functions f(x) = 2* and g(x) = log(1-x), determine the domain of the combined function…

A: We have to choose the correct option from the given options according to the given information

Q: In problems below, (a) identify the independent variable (use 't' for the independent variable if an…

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: Evaluate the following integrals: 1. dx 2. f6²+1²+6 dr 3. (3x - 5)(2x²-x+5)dx 4. Solve the initial…

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Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: The given function fx,y=2x3-6x+6xy2

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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Q: Consider the following planes. −2x + y + z = 2 6x − 3y + 2z = 4 (a) Find the angle…

A: Consider the following planes. −2x + y + z   =   2 6x − 3y + 2z   =   4

Q: If the acceleration A(t) of an object is proportional to the square root of its speed S(t), what is…

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Q: You are given the graph of a function f. Determine the intervals where fis increasing, constant, or…

A: Given,

Q: Determine the convergence or divergence, justify answer

A: Given, ∑n=1∞1nπ

Q: 9. Find the solution to satisfying y = dy dt = 7y || y(6)=9

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Q: A radioactive isotope has a half life of 1 min. The amount of material, A(t), at t = 0 is 10 kg.…

A: A radioactive isotopte has a half life of 1 min. The amount of meterial, At, at t=0 to 10 kg.To…

Q: Find the solution to y' =    2y satisfying y(0) = 15.     PLEASE SHOW STEP BY STEP

A: Topic:- differential equations

Q: (f) If F¹(x, y) = 5y sin(xy)i + 5x sin(xy)j, then f(x, y) =

A: Given vector field F→(x,y)=5ysin(xy) i→ +5xsin(xy) j→ we need to find function f(x,y) such that…

Q: lem 3.5 an equation of the tangent line on the curve y = x + 1 that is parallel to the line 32:

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Q: 5.5 Find the volume of the solid bounded above by the graph of f(x, y) = xy sin(x²y) and below by…

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Q: Find the one-sided limit (If It exists). (If an answer does not exist, enter DNE.) -(x². 9 X + 8 Ilm

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Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2,…

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: 5. * y ↑ Add File 6. * sin x 1 + cos x y = cos² sin x 1 Add File

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Q: Find all real numbers in the interval [0,2x) that satisfy the equation. 2 9 cos y + 29 cos y + 20 =…

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Q: 1) .  Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 3 y =    graph…

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Q: Calculate the integral of ze²x+y over the surface of the box with 0 ≤ x ≤ 2,0 ≤ y ≤ 3,0 ≤ z ≤ 6.…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: We need to find domain.

Q: Answer the following completely. f(x) = - sin (²1+5) +2 2 8 a. Determine the amplitude, period,…

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Q: Find the limit of the transcendental function. (If an answer does not exist, enter DNE.) cos(20)…

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Q: find the derivative of the following using chain rule I need the solution since I got the answer…

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Q: Given polar curves A₁: r = 1 + sin 0 and A₂: r = 3 sin 0 1. Set up (but do not evaluate) an…

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Q: 14) . Solve the initial value problem. y' = (x − 1)(y − 2),  y(2) = 2 y =   PLEASE SHOW STEP BY…

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Q: solve the triangle a = 7 c = 4 B = 90° و C = A=

A: topic- triangle ,inverse trigonometric ratios and Pythagoras theorem

Q: 3G III. T ⊙ 곤 Question Seve.... Let A be the square matrix [203] 0 1 4 l1 0 1 Find, if possible, a…

A: The given matrix is;  A= 2 0 3        0 1 4       1 0 1.