Write down a formula for ∂z/∂y if z is defined implicitly as a function of x and y by the equation below. Simplify.  yz = e^(3x+z)

Q: If two functions F & G are both antiderivatives of the function f, the F (x) =G (x). (A) True (B) Fa...

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Q: x-x+1 dx Evaluate: 2,2_ 2,½-224C A 3 B 2 2 D 5 3 E none of the given choices

A: We have to find solution

Q: Consider the following function: f (x) = (x- 4)(x+2) (x +4)(x + 2) i. For what values of x is f(x) c...

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Q: хах 5+ x2

A: Given query is to find the value of the integral.

Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Find the zeros and their multiplicities for f(x) = 2x°+9x* +7x³ 1(multiplicity 1), 7/2 (multiplicity...

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Q: 3lnx – 3lny The function f (x,y): x-y Nonhomogeneous Homogeneous of degree 2 c) Homogeneous of degre...

A: The given function is: f(x,y)=3ln x-3ln yx-y          =3(ln x-ln y)x-y          =3 lnxyx-y

Q: The antiderivative of Cos(3x)

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Q: secytany In 4secy +9 -dy, the integrand is 4secy +9 A True B) False

A: Here ,          we have given an integration and it's              integrand also given. Now we have...

Q: -1< x< 2 3 Consider the function f(x) = x = 2 4- x 2 < x< 3 |1 x2 3 (a) Sketch f(x). (b) Discuss the...

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Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: dy of y = (t + 6)(t +5)(t + 3) 1 Use logarithmic differentiation to find the derivative,

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Q: 3 sin 2 tsin2tdt (A) sint 3 (B) sin 21 (c) cost D sin2t E) None

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Q: Suppose a hot cup of coffee is left on a kitchen counter. If the temperature in °F after t hours is ...

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Q: S (sin(Inx?)) 3 -dx? Which of the following is equivalent to the integrand of

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Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: 4 x² + 4

A: Follow the procedure given below.

Q: x4メ U 5 + x² 2.

A: Let's find. 

Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A: We need to solve the given separable differential equation

Q: Let A = f1) be the amount of money in an account, in dollars, t months after an initial investment o...

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Q: In the integral, cos?rsin2tdt , the correct u using general power formula is;

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Q: cost and price​ (demand) functions C(q)=100q+44,500 and p(q)=−1.9q+880​, what is the marginal revenu...

A: We will find the marginal revenue. 

Q: The antiderivative of a constant is the family of lines.

A: Let y = mwhere m = constant

Q: and xe"y %3D For ay

A: To find out partial derivatives.   

Q: Improper Integrals w/ Partial fractions, Integration by parts and u - su L y e-3y dy Зу 11.

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

Q: The integral csc(0.5) dx is equal to 2ln|tanh(0.5x)| + C B None of the given choices 2ln|csc(0.5x) –...

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Q: dx (use 2 decimal places, no space) 5+x Let x = 2.74, and y = 3.75. Determine the value of C when yo...

A: topic - indefinite integral

Q: Which of the following indefinite integrals will result to logarithmic expression? A (2x+7)2 ® Stan(...

A: Topic = Integration Correct option  = B ,D

Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2 

Q: X-e -dx x2+e-2r 2 (x-e-2") -dx A x2+e-2r - 2(x-e-2*) В x2+e-2r -2x e -2x x2+e dx te-2r x2+e E None

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Q: / tan( 4x + 3) dx Evaluate: (A) –In |cos (4x+ 3)|+C 4 B 4 ® -im [sin(4r + 3)| +C В –In |csc (4x+3)|+...

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Q: Find an equation of the tangent line at x = 0. y = x5 + cos(x) .13 (Use symbolic notation and fracti...

A: We have given equation  y=x13+cosx Put x=0  y=0+cos(0)=1 Point on the curve x1,y1=0,1 y'=dydx=ddxx13...

Q: B. LIMITS Evaluate the following limits: EI 191 lim g (y) y+-2 y° +5 if y < -2 3 – 3y if y 2 -2 wher...

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Q: Sv 8x – 16 dx=2 x- 2dx A True B False

A: Show that,∫8x-163dx=2∫x-23dxAnswer:-4LHS=∫8x-163dxLet 8x-16=udifferentiate8dx=duTherefore LHS=∫u38du...

Q: -dx (use 2 decimal places, no space) 5+x Let x = 3.63, and y = 4.58. Determine the value of C when y...

A: we have given∫xx+5dx and also given x=3.63 at y =4.58

Q: A. FUNCT 1. Solve for the Range and Domain of the given function: g(t) = v4 – 7t %3D

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Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: Determine the roots of the following simultaneous nonlinear equations using Newtor Raphson Method, t...

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Q: Question 12 2x2 + 2x+1 dx. x+1 Evaluate: e x² +x +1 A x+1 n|x+1| +C e 1 В x+ + C X+1 * + In|x+1| + C...

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Q: In the integral, Jcos²tsin2tat , the correct u using general power formula is; sin't sint None of th...

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Q: Find the particular solution to the differential equation y' = (6xy)2 that passes through 1, − 1 ...

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Q: Evaluate: ) ²dx secx- tanx

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Q: Vx + sin/x dx. Evaluate: None of the given choices в x- 2cos/x +C 2x+ cos/x + C D x+2cos/x +C 2x- co...

A: Let's find. 

Q: Question 2 The coefficient of Sec(x) when J (tan(x) – sec(x))-dx was evaluated is Blank 1 (use numbe...

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Q: equaton of a line contain iwig the poent (1,7, -3) and parallel to the yz-plar 2 Find an

A: We will find the equation of line. 

Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

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Q: derivative of the fun x + 2 y = e y' = %3D

A: We are asked to find the derivatives of the function.

Q: If Mesin(2x) dx = eSin(2M) + C, then the M is equal to Blank 1 (use small letter, no space) Blank 1 ...

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