The equation of a family of parabolas with axis parallel to the y-axis is

Q: Consider the vector field F = (4x + 6y, 6x + 2y) Is this vector field Conservative? Conservative If ...

A: Vector field is conservative. Then find f(x, y) 

Q: Given that sec(0) V13 and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form. Do n...

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Q: I How did he get the value inside the circle X: Evaluate Is f(tanx}?d EXp 3.2 1x dx (sinx)3.2 3.2 -3...

A: Here is the solution

Q: Which of the following is equivalent to sec B(tan?B+1) for all values of ß for which sec B(tan²B+1) ...

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Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: Find the arca of the region bounded by y = e, the r-axis, and r > 0. You will need to evaluate an im...

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Q: y = 7x2, y = x2 + 3 %3D

A: Follow the procedure given below.

Q: 2x+3 Find the inverse of the function f (x) x-1

A: We have to find inverse function

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: Given query is to find the solution using linear approximation.

Q: Separation of Variable s: x(y+1)dx+ 2| dy = 0

A: Given, x(y+1)dx+(y/x)2dy=0 Separation of variables means, Seperate x  variables on dx side and y var...

Q: 7. The function (x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree

A: .Given,f(x,y) = (2x4+y4) ey2x +x y3Put y= xSo we get,f(x,x)= (2x4+x4) ex2x +x x3 f(x,x)= (3x4) e0.5 ...

Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost ...

Q: Which of the following is equivalent to tan 0(sec 0 – 1)(sec 0 + 1) for all values of 0 for which ta...

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

Q: 4x 3+3x²+1 What is the general solution to the differential equation dx 3y2 y = V x4 +x 3 +x +C B y ...

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Q: Find the general indefinite integral. (Use C for the constant of integration.) - 3u4 ته( ل u? +)

A: This question can be solved by using some basic formulas of integration like ∫xndx

Q: dy What is the general solution to the differential equation dx cos x+sin x 2y for y > 0 ? A cos x+s...

A: topic - differential equations

Q: 6. CosX cot?x-cosx -0 cosA (cod 3x -)= coskcotX +D Crotă-) =0 cotx+l=0 cot x= -| tan=l-1 cotx-1=o co...

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Q: Find the interval of convergence of E(-1" - n°(x + 6)" (Use symbolic notation and fractions where ne...

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Q: 2 Separation of Variables: x(y+1)dx + dy = 0 %3D

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Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: Find the derivative of the function. h(t) = (t + 1)2/3(3¢2 – 1)3 h'(t) =

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Q: 6. The equation of the family of straight lines with y-intercept and slope equal is

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of mu...

Q: Find the slope of the line. Slope = m =

A: Given: - The diagram of the graph, To find: -The slope of the line.

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to I (- x - 2x + 12x + 4x...

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Q: )Let - 3z2 + 5x f(z) = 3z- 2 for z <0, for z 0. According to the definition of the derivative, to co...

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Q: Find y' and y". y = e4e* y' = y" =

A: Explained below 

Q: - Separation of Variables: x(y+1dx+| 2| dy = 0

A: Given:- x(y+1)dx+yx2dy=0   To find:- General solution of given differential equation

Q: 0.13t C(t) t2 + 3 Find the instantaneous rate of change of the drug concentration with respect to ti...

A:  The concentration of the drug in the bloodstream (in milligrams per cubic centimeter) t hours after...

Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: The following illustration shows the graph of f'(x). On what interval(s) is f"(x) < 0? 4 2- -2 -2 a....

A: topic - functions and derivatives

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: an=n+1-n+3 limn→∞an=limn→∞n+1-n+3limn→∞n+1-n+3=limn→∞n1+1n-n1+3n   =limn→∞n1+1n-1+3n=limn→∞1+1n-1+3n...

Q: trigonometri

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Q: 10. Determine the intervals for which the functions are continuous. (c) f(0) = -2 cos 0+ sin 0 (a) g...

A: Every polynomial function is always continuous on Real number. Sum of two continuous function is alw...

Q: 00 2k=1 gk2+3k –2

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Q: x² + y = (2x² + 2y² – x)°, (0, 3) (cardioid)

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Q: sinx f(x) = COSX

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Q: In(rºs² Vr*s° is equal to A lnr + Bln s where A = and where B

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Q: 5 Use Simpson's rule with n = 4 to approximate In(5) 1 dr. %3D %3D 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0...

A: We will find the required value by simpson 1/3 rule for n=4.

Q: 5. Find by implicit differentiation for x + y = xy. dx

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given b...

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Q: Which of the following integrals will give an area equal to that of a region in first quadrant enclo...

A: We will find the area of the asked region as follows.

Q: Néxt question Evaluate the following limit or state that it does not exist. (Hint: Identify the limi...

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Q: 1 For each improper integral below, s (a) ) / Valna da. (4 In T

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: Given that cot(0) = and 0 is in Quadrant I, what is sin(0)? Write your answer in exact form. Do not ...

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Q: Find frx, fæy and firy for the function f(x, y) = (1+x + g)e*

A: Given: - The function is, f(x,y)=(1+x+y)e-xy To find: - The value of fxx,fxy and fyy for the given f...

Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3...

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Q: | f(t) dt 20z 4, then f (t) dt is If 4x²+21

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Q: For the cost function C(x)=40+x-1/2x^2 find the marginal average cost when x=2

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