Calculate the lengths of all of this triangle's sides. X = y = Z= 64 cm² y x 225 cm²

Q: Sind f(x) (8x-91-4 Sind derivative ہا۔

A: To find derivative of given function.

Q: 5.8 or in the direction in which f(x, y) = 9x³y³ P(−1,1), and find the rate of change of fa act…

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Q: What happens if you take B = A in the trigonometric identitycos(A - B) = cos Acos B + sin Asin B?…

A: The given identity: cos(A - B) = cos Acos B + sin Asin B To check what happens if B = A .

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A: Given, ∫-∞∞x-42-1dx

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A: To find the extreme values of  g(x,y)=x2+y2+x2y...(1) on the circle f(x,y)=x2+y2-12=0...(2)

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A: The given differential equation, y''-12y'+36y=0 We have to the solution of the differential…

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A: A local maximum value of a graph is the point where the y-coordinate has the larger value than all…

Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: Given 1. foci -6, 1 and -6, -9 2. Vertex at -6, -1

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface.…

A: Given, y=1/4x2-1/2ln(x), a=3 b=4

Q: In Exercises 57-64, solve for t. 57. a. e0.3t = 27 b. e = c. In02 = 0,4 %3D 58. a. 0.0l = 1000 b. c.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an equation for the plane that passes through the point (1, 8, −9) and is perpendicular to the…

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Q: Find the solution of the differential equation satisfying the initial conditions y(0) = −6, y′(0) =…

A: Please see the below picture for detailed solution.

Q: Find the maximum volume of a rectangular box whose surface area is 1600 cm² and whose total edge…

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Q: = = '1' (a) 21 = 6e-i (b) z2 = 21, (c) 23 (d) z4 = 21 + Z2, (e) 25 = 21 - 22. 2122, 2п 3

A: We have given some complex number problems in Euler's Form. We have find the real and imaginary…

Q: d) How long is the ball above a height of 10 m? e) How long is the ball in flight?

A: We have to find time for which the ball is in flight.

Q: 1. Let y=f(x). = 4x² 4x+1

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Q: differentiate H with respect to G H-3e20G Select one: O a. H' = 60e 20G - 3/5G^(4/3) Ob. H' =…

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Q: f(x)=2ln(6x) f′(x)= f′(2)=f

A: Given query is to find the derivative.

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A: Given function:- fx=4x22-2x3

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A:

Q: 3. y = Ae2x cos(3x + B), where A and B are the arbitrary constants

A: To eliminate the arbitrary constants A and B in the following equation.y=Ae2x cos3x+B

Q: Exercise 2, Show that 7n²+5n-1 is odd for any n N.

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Q: Solve the ff. first order DE using Separation of Variables 2 b. x²dx + y(x − 1)dy = 0

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Q: [12] On the open interval (0,47), find the domain of the vector function r(t)= cot 20 ( 121 ) ₁ +…

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Q: 23. Find the ratio of the area in which the line y = y² - 4x + 2y + 1 = 0. divides the curve x² +

A: Given :x2+y2-4x+2y+1=0y=12

Q: F(x) = psolute min solute max +25 on [-7,7] 11

A: Topic:- application of derivatives

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Q: Use implicit differentiation to find the slope of the tangent line to the curve y x + 5y at the…

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Q: Find the slope of the tangent line to the curve 6 sin(x) + 6 cos(y) — 4 sin(x) cos(y) + x = 5 at the…

A: To find the slope of tangent line to the given curve.,

Q: 4x² 1. Let y=f(x) = 4x+1

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Q: 4. (16x + 5y)dx + (3x + y)dy = 0, when x = 1 and y = -3

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Q: . Graph y = sin x and y = [sin x] together. What are the domain and range of [ sin x]?

A: Given function is y=sinx and y=sinx

Q: -10 -5 6 3 0 Ny 5 X 10

A:

Q: Problem 1. Is the following true or false? Justify your choice. 4x (x − 1)(x + 3)' Bx + C x + 3 To…

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Q: Solve the ff. first order DE using Homogenous Equations. C. 3(3x² + y²)dx - 2xy dy = 0

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Q: A runner begins training by running 5 miles in one week. The second week she runs a total of 6.5…

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Q: Find d2y/dx2 if x = 3 - 2z and y = z2 - 3z3

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Q: Please show your work. It must be clear how you obtained your answer. 1. Evaluate the following…

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Q: y = f(x) +7 Vertical asymptates horizontal asymptotes oblique asymptotes Domain of of f

A: We have to find the asymptotes and domain of function.

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Q: 1. Solve the following problems with the second partial derivative test and with Lagrange's method.…

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Q: Consider the following differential equation: dy dx 1. Find the general solution. + y = x.

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Q: In Exercises, find an appropriate graphing software viewingwindow for the given function and use it…

A: The given function is f(x)=x4-4x3+15

Q: Find the absolute maximum and minimum of f(x, y) = x + 4y within the domain x² + y² ≤ 4.

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Q: Consider the initial value problem (*) ty" + (2t + 6) y' + (t + 6) and_y'(1) = 2 8 |y(1) = - e Given…

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Q: y=4(x2−4x)−5 Find dy/dx

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

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Q: 3 Each limit repr number a. State m -0 √9+h-3 h

A: Given query is to find f and a.

Q: Which of the following functions is homogeneous of whose degree of homogeneity is 4. A. f(x, y) =…

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