4 The function f(x,y) = corresponds to x² + y? plot [ Select ] level curve [ Select] >

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: -1 Cos cos

A: Given query is to find the value of indicated trigonometric functions.

Q: 1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

Q: dy VE (1 + y?/7) 21

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Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: If two objects travel through space along two different curves, it is often important to know whethe...

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Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: 5-18 Evaluate the surface integral. 13. (x':+y') dS. S is the hemisphere x + y + 4, : 13. 167

A: Given:    x2 + y2 + z2 = 4       ,       z> 0

Q: F: y=x² +2x+1

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Q: solve

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Q: Problem 2. A Bernoulli differential equation is one of the form dy + P(x)y= Q(x)y" (*) dr Observe th...

A: First order differential equation : Consider the first order differential equation             dydx+...

Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: Continuity of Functions on an Interval Determine if the given function is continuous on each of the ...

A: topic - functions and continuity

Q: Let f(x) = (1 + 9x²)(x – x²). Find the derivative by using the Product Rule. f'(x) = Find the deriva...

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Q: 2x +1

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Q: lim (1+ / tan(x² – 3x + 2) X' is :- X2 (A) e (B) 1 (C) e ! (D) e

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Q: Find the general solution to x*/ = x*y – y°.

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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

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Q: Consider the region R between y = sin x and the x-axis for 0 ≤x ≤π. (a) Find the volume of the solid...

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Q: The natural law of decay is used to study the radioactive decay of Radium: dm = -km dt Where m is th...

A: This question is related to differential equations, we will solve it using given information. 

Q: 4. S(1 – cos 4u) du 5. S sin x cos x dx

A: 4) Given:        ∫1-cos4udu Apply linearity:    =∫1 du-∫cos4u du     =u-∫cos4u du      

Q: -dx

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Q: Solve the linear differential equatio (D²+ GD+ 13y = 26 + GR cos

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Q: Find an equation for the functionf that has the given derivative and whose graph passes through the ...

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Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

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Q: Solve the following: dx 1. xV4x2 - 25

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Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: tan X-1 hing X - 7

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Q: Divide the numerator and thế denomih by lim 9. + 2

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Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: (3x2 + 2y²)dx + (4xy + 6y²)dy = 0

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Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.

Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: aghly, speaking, we can use probability density functions to model the likelihood of an nt occurring...

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Q: How many ounces are in 4 pints?

A: Use the basic of ounces 

Q: Analysis: Real-life Applications Derivative is defined as the rate of change of a function with resp...

A: solution:-N(t)=2500(1+2t2)the rate change of the number is:N'(t)=ddtN(t)= ddt2500(1+2t2)=2500ddt(1+2...

Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(s...

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Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: / f'(x) sin x dx = 8, / f(x) cos x dx?

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Q: Find the minimum and maximum values of the function y = 8/x² + 1 – 3x on the interval [0, 6] by comp...

A: Find maximum and minimum values of  y= 8√(x^2+1) -3x in interval [0,6] 

Q: z = x2 + y?, y = x²,y = 1, z = 0.

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Q: 2 Can the Fundamental Theorem of Calculus be used to find /. L dx? 6-x 6-x O Yes, f(x) = is continuo...

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Q: A graph of a population of yeast cells in a new laboratory culture as a function of time from t = 0 ...

A: Solution is here

Q: write the slope-intercept forms of the equations of the lines through the given point parallel to t...

A: This is a question related to equation of line and slope passing through particular point.  General ...

Q: ds = f(t) (m/sec) of a body moving along a coordinate line. The accompanying figure shows the veloci...

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