dz Calculate for z = 4x² + 3y², x = sin(t), y = cos(t) dt

Q: e. When is the greatest common factor of two numbers one of the two numbers? Explain your reasoning.

A: Given :   When is the greatest common factor of two numbers one of the two numbers

Q: If a force of 49 N stretches a spring 0.7 m beyond its natural length, how much work does it take to…

A: We have given  Force = 49 N Using Hook's law F=kx ........(i) k=Fx Put F=49 N and x = 0.7 m k=490.7…

Q: Find the difference quotient f(a+h)-f(x) h for the function given below. f(1) = -9z+8 Give a…

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Q: Let f(x)= -6 cos x + 6 tan x Find ‘(x) Find ‘(π/3) My results were the following: f’(x)=…

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Q: Problem 1. For every real number a, compute the derivative of y = x4 at x = a as a limit of a…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x.…

A: Please see the below picture for detailed solution.

Q: For the function f, use composition of functions to show that f 3 1 (x) = -x + 1, f¯ ¹ (x) = = ¹(x)…

A: Topic- Functions and inverse of function We are given, f(x)=37x+1,f-1(x)=7x-73

Q: Differentiate. f(x) = 8 e 6x f'(x) = [

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Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: A rectangular piece of land has dimensions 500 ft by 150 ft. Find the amount of fencing needed to…

A: Given query is to find the perimeter of the land.

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: [x²-2 if x≤2] -3x+1 if x>2 Graph the function, f(x)=- x y

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Q: 12-14 Simplify the expression. 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

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Q: hello please help in assisting me with how to get the functions for this shape

A: NOTE: Refresh your page if you can't see any equations. .

Q: don't understand how I can graph this function, can someone please help as well as explain

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Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: I. Find the general solution of each of the following. 1. xy²dx - edy 2. tanxdx+ycos’ xdy−0 3. ytan²…

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Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

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Q: Differentiate the function. y = (5x-4) (3-x3) 3 dy dx

A: Given :                    y=(5x-4)³(3-x³)³ Here, it is in the form of product of two functions.…

Q: Which value of a is NOT in the domain of the function g(x) 7- 42 13x 30 ?

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Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: Find the differential equations of every families of curves given 1. All parabolas with axis…

A: In conic section, there are four forms of parabola (up and down, left and right). The equation for…

Q: When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points…

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Q: 18. 19. 20. dy dx dy = -5y, y = 7 when x = 0 = 4 sin 2x, y = 2 when x = π/2 dx dy = x² + 3 + e²x, y…

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Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

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Q: (a) y - y = 2te²t, y(0) = 1

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: 6. Find the points of intersection of the graphs of the functions. f(x)= x² +14; g(x)=x + −6 a. The…

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Q: Derive a Differential Equation that is free from arbitrary constants: y = C₁x + C₂e-*

A: Here is the solution:

Q: 7+3 + 4-2 Y-3

A: SOLVE THE GIVEN

Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: 9) A rectangle has one corner on the graph of the line y = -x² + 6, another at the origin, a third…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: Determine the solution xy³ dx + ye of the 1st Ordered Differential Equatio *dy = e*dy

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: Consider the graph below of the function g(x) to evaluate the integrals The graph consists of two…

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Q: A woman plans to place a single sum in a certificate of deposit account with a guaranteed interest…

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Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: 7x4-12x²+5=0 71x1² 110

A: 7x4-12x2+5=0 by hit and trial method clearly x=1, -1 is the root of the above polynomial equation.…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: Solve by completing 2x2 +9x = 1 =0 - the square,

A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

Q: nd the average value of the function f(x)=48-12x² over the interval -5≤x ) 1) -152 2) -52 3) 148 4)…

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Q: Precalculus   Find an equation of the circle with center (2, 5) that passes through (−3, 1).

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

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

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Q: Use the cylindrical shells to find the volume of the solid A sphere of radius r

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Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

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Q: 2x 2x · y = C₁ e ²x cos 3x + C₂e²x sin 3x

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Q: integral

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Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

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Q: Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8…

A: Given graph:-