What is the relative minimum value of the the function f(x, y) = e+v ? Note: If the answer is a negative number, do not use a space between the negative sign and the number, e.g. -10. %3D

Q: A quadratic function f is given. f(x) 3x2 + 2х - 6 (a) Express f in standard form. f(x) = (b) Find t...

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Q: 8. Find the length of the given curve over the indicated interval. r(t)= (r', 3 cos(t), 3t) [] 0, 2

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Q: 5e2*dx V9e4* – 6e2* + 1 (A 3e2 (B 3e2x – 2 3e 2x – 1 9e* – 6 + 1 e 2x _ E) None

A: Solved below

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A cost B sin(2t) © sin...

A: Given integral is ∫cos2tsin2tdt =  ∫cos2t(2sintcost)dt = 2∫cos3tsintdt Now taking u = cost  Differen...

Q: If two functions F and G are both antiderivative of the function f then F(x) = G(x). A True B) False

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: dy x + ( 1+x)y = e -x sin2x dx

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Q: Provethat f fear dz- F(2) d2 Saro if ce+Cathen

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Q: -2 X Given f(x,y,2) sin (z²y), show that fxyuy = fyxy %3D %3D

A: Given:- f(x, y, z) =e-2x sin(z2y)  To prove:- fxyy = fyxy

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

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Q: 1 2х

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Q: Differentiate the function. F(Y) : + 9y³) F'(y) =

A: Topic = Derivative

Q: If u <0, then -in (-u) +C u (A) True B False

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Q: 2x2 + 2x+1 dx. Evaluate: e х+1 x2 (A 2 *+ In/x+1| +C B x² + In|x + 1| + C (x²+x+1 x+1 n|x+1| + C e 1...

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Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

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Q: 2x²+ 2x+1 x+1 Evaluate: e dx. 1 + C X +1 A) x² + x +1 x+1 n|x+ 1| + C B - + In|x+ 1| + C D x2 + In|x...

A: The given integral is; eln[(2x^2+2x+1)/(x+1)].

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. + 2)3/2, 2 < y <...

A: To find the exact area of the surface

Q: The population of a country dropped from 52.1 million in 1995 to 45.9 million in 2008. Assume that P...

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Q: e -3 E y, Ax2 e-3* cos(4x) + Bx2 e4* sin(-3x) F yp = [Ax³ + Bx2 + Cx]e-3x

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Q: stätément in column A with the appropriate The equation in slope-intercept form for the line passes ...

A: topic - equation of a line note : as per bartleby guidelines, we are supposed to answer only first t...

Q: A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a c...

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Q: Differentiate. 5x y = et

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Q: Question 8 e* then the integrand is the same as dx In 4+e¬* 4e* +1 A True B) False

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Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

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Q: Find the correct u and du then find the equivalent.

A: All option given is in terms of x only but i correct for variable u and t. 

Q: Calculate the volume of the solid obtained by rotating the region bounded by y = x2 + 1 and y = 3 – ...

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Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: II. Find the first derivative of the following functions. Simplify results. Use differentiaion formu...

A: The function given is  y=3x2-32

Q: d -n (-u) + C If u <0, then u (A) True B) False

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Q: Find the solution of the differential equation that satisfies the given initial condition. (Write yo...

A: The given differential equation is; 5xcos(x) =[2y+e^(3y)]y', y(0)=0.

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5. ...

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Q: Differentiate. y = eP(p + pVp) y' =

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Q: Suppose that fis)-\,P(G)=3,965 ond a'5)=8. Find the fllowing voiure

A: We have to find the derivative

Q: Find x' for x(t) defined implicitly by x° +t°x+t +4 = 0 and then evaluate x' at the point (- 2,2). ....

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Q: Question 5 When you evaluate dr. The sum of the coefficient of x" for any constant n>0 is Blank 1 (u...

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Q: car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a con...

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Q: J esc2tdt = In|csc2t – cot21| + C A) True B) False

A: Explained below 

Q: Evaluate the integral: - S- de. 4- sin?e cose A None of the given choices ® sin-(ino) +c B Sin-1 © -...

A: The objective is to evaluate the integral.

Q: (-x+ 2, x 0 not, why?

A: The given function is: g(x)=-15x+2,  x&lt;0-2,            x=0x+2,         x&gt;0 From the definition...

Q: 2. For each of the following statements, determine if they are true or false. In either situation, e...

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r'"(t). r(t) = 2t?i – 5tj + 3

A: Given query is to perform indicated vector operation.

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: | esc2idt = ln|esc21 – cor21| + C csc2tdt (A) True B False

A: We have to find out

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches. 

Q: and xe"y %3D For ay

A: To find out partial derivatives.   

Q: Question 4 e an -15i gech (e an-151) dt 'sech Evaluate: 1+25t2 A -tan-'e tan -151 +C 2 -tan -'e tan ...

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Q: The population of a city is 50,000. The city grows continuously by 2.1% per year. If this trend cont...

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Q: Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

A: We have to find the closet point to the point    (9, 0) 

Q: Given Cost and Revenue functions C(q)=q3−9q2+56q+5000 and R(q)=−3q2+2600q​, what is the marginal cos...

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Q: 5e2*dx 9e4x – 6e 2× + 1 4х A 3e2 B 3e2x – 2 © 3e2* – 1 D 9e * – 6e2* + 1 E Е) None

A: We have to find indefinite integral and choose correct option