Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0 intersect at the origin forming right angles

Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

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A: Given the query is to find the average value of function over the interval [0,π/2].

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A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

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Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

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Q: x3-27 dx 2. ズ-3

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Q: 3ズる一と find dx dy 17 x° +

A: Answer: As per guidelines we can answer only 1 question so i had answer Q17 below :    

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A: This question is based on Newton's law of cooling.

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A: Given query is to find the diameter of the wheel.

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Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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Q: Notices Answer four questions only. Degrees are distributed equally to all questions : 00 Evaluate ,...

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Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

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Q: (x + 6)dx J (x + 2)² 4 In(x + 2) + +C x +2 4 -In(x + 2) + C x +2 Option 1 Option 2 4 In(x + 6) + + C...

A: Evaluating the indefinite integral

Q: В. Find all vertical and horizontal asymptotes. 2x2+2x+1 15. f (x) 5313 5

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Q: please

A: Please refer to the image below

Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cote O 21/20 O -20/21 ...

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Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

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Q: i am so confused on the slope and perpandicular and paralell lines like its so hard and i cant get a...

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Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

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Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast...

A: d[r^n]/dr = n r^(n-1)

Q: 4×(7×12-9)+25÷(-5)-5÷5

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Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

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Q: 2. Let f be the function f(x)= arctan.x. (a) Find the third Maclaurin polynomial for f. (b) Approxim...

A: To find the maclaurin polynomial for f.

Q: 4. 3y(x? - 1)dx + (x³ + 8y - 3x) dy = 0

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Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

A: We will find the time taken by the rocket to hits the ground as shown below

Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

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Q: Find the angle of least positive measure (in degrees, not equal to the given measure) that is coterm...

A: The objective of the question is determine the least positive coterminal angle with A.

Q: Sx² – 4, iƒ x > 1 -x – 1, if x < 1’ continuous at x = 1. If the function is discontinuous, state the...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y = sin x(sin x + sin x cos x- y)

A: Find your answer below 

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: ompute the following limits through an algebraic approach or L’Hospital’s rule where applicable

A: Given that: 1. limx→212-1xx-22. limx→01-cos2xx2

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Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

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Q: Calculate the work W against gravity required to build a cylindrical column of height 6 m and radius...

A: Formula: Weight = mass×gravity ×hight  

Q: c) limx'e*

A: We apply L-hospital's Rule to find limit.

Q: 2. Annual sales of sparkling water in the U.S. in the period 1993 - 2003 could be approximated by S(...

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Q: Evaluate the following. Show solution using the basic formulas.

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Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: A 28-ft ladder leans against a building so that the angle between the ground and the ladder is 75°.

A: FOLLOW next step

Q: dy Use implicit differentiation to find dx tan(x+y) = x + y

A: To differentiate implicitly the given function.

Q: Let t be a real number and let V3 be the point on the unit 1 2 circle that corresponds to t. (a) Fin...

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