J-in3 ex+4 4. (T/4 3csc22x dx Ja/8

Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

A:

Q: 1. Find the volume of the solid generated by revolving about the indicated axis the area bounded by…

A: We can solve this as follows:

Q: Find by implicit differentiation. dx x 6x + 7y = 8 dx

A: we have to find the derivative

Q: 7. Evaluate sin xcos x dx. cos* x +C 4 1 C) 4 sin* x A) +C 1 sin* x B) 4 cos* x +C D) +C 4 a O c O d

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Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: c) y4 4 3 -2- 1- C -2 -1 4 31 -2 + (O

A: Given query is to find the equation of the line.

Q: Convert 130° to radians. Evaluate sin A if cos A – ? (5 and

A: Please refer to the image below

Q: The graph of a function is given. Use the graph to find the indicated limit and function value, or…

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² – c² and y = c² – x² is…

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Q: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

Q: sin* x cos? x dx

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Q: LOSA ५.

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Q: True or false every rational number is a decimal

A: Rational number is a number in p/q form, where q not equal zero.

Q: Find y'' of x⁵ - y⁵ = 1.

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Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: 1. S x(x2022+1) dx

A: The given problem is solved below in detail.

Q: Ssin ³xcos³xdx

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Q: Fill in the missing correct answer to simplify the given complex fraction. 1 4 x2 Complex Fraction:…

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Q: Find AC. Round your answer to the nearest tenth. 14 ft 89° 8 ft 25 mi 16 mi 19 mi 17 mi

A: To find the value of AC

Q: dy a. Use implicit differentiation to find dx dy %3D dx b. Find the slope of the curve at the given…

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Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Q: The differential equation whose auxiliary equations roots are 2,2,1 is (a)Ae* + Be2x* + Ce2x (d)…

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Q: 8x2 – x + 8 x(x² + 4) G) + 1 2 In x + 6 In (x² + 4) – ; Arctan () + 4 In x + 3 In (x² + 4) – ;…

A: Topic:- application of integration

Q: dx 7. S. 9x2+16 tdt 8. S 9. S V25 – 4x²

A:

Q: Let f(x) = (4sin z + 2 cos z)arctan z f (x) =

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Q: 2. lim b.) Caiり→(2)×り - 1

A: Put x=1,y=2,z=3 in the given expression to obtain the answer

Q: csc(cot x) + cos? x dx .2 sin“ x

A: The given problem is solved below in detail.

Q: əf. dy and In each of the following, find dx (n) f(x,y) = tan x tany %3D

A:

Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

Q: (е) cot 57 (f) 5 COS 6.

A:

Q: x2 dx - 1

A: See the details solution in below

Q: Find the absolute maximum and minimum values of the following function in the clc f(x.y) = 2x - 4x+y…

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Q: P5: 4 – 9x²dx

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Q: csc(cot x) + cos" x dx CSC ,2 sin?

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Q: Solve without L'Hopital's rule. lim x→1 [tan(1 − x)] / (2x^2 + x − 3)

A: We have to find out limit

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: 9. Determine whether the given integral is convergent or divergent: 1 dx? (4-x)5 a. convergent b.…

A: integration

Q: A radius r of a spherical balloon is increasing at a rate of 2 cm/s. Find the rate of a volume V…

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Q: item

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 4 sin(t). The initial…

A: We have to find the velocity, displacement and total distance.

Q: se the Intermediate Value Theorem to show that the following equation has a solution on the se a…

A: Topic:- function

Q: ind an antiderivative of the following function by trial and error. Check your answer by…

A: We have to find integral

Q: Write the general equation of a line perpendicular to 12x-5y+60=0 and passes through (1,-2).

A:

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: 1 ): The vectors 2 and form a basis the vector space R'. Select one: O True O False

A: Here we state whether it is true or false.

Q: Cost, Revenue, and Profit A company that manufactures sport supplements calculates that its cost C…

A:

Q: 1 S dx x In x In In x In In In x

A: We need to solve integral.

Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].