Direction: Find the derivative of the function. y = 2e* +e* Select one: O y' = 3 – 2e* O y' = 3e + 2e O y' = 2e= - 3e O y' = -2e- 3e= Clear my choice

Q: Let f(x) %3D + rCI + 3x2 – 4x 15 - This function has: 1) A y-intercept at the point 2) x-intercepts ...

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Q: (a) Find the differential dy. y = cos(TX) dy = (b) Evaluate dy for the given values of x and dx. (Ro...

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Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below 

Q: Please explain the different appearances of the answers

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. 1-X 1 f(x) = g(x) = ...

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Q: In an airplane control problem, an airplane is flying in still air with an airspeed of 275 mph. the ...

A: Let's find. 

Q: Find the distance from the plane 4x + 5y + 5z= 28 to the plane 4x+ 5y + 5z = 36. The distance is d =...

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Q: dx S (2x+1)vx

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

A: We have to solve given differential equation

Q: Evaluate: 1- cos(x) lim 3x2 X+ 0 Express your answer in 4 decimal places.

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Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: 3. dy = ( x - 3y)dx

A: Let's find. 

Q: n environmental study in a community shows that the level of a certain pollutant in the air is L(P)=...

A: We have ,                L(p)=p ppm                P(t)=70t2+200                 when t= 2010-2000=1...

Q: z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), E Find (0,6,0), and (0,0,3)

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Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: 21. cos x cos 2x + sin x sin 2x

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Q: Differentiate the function. H(x) = (x + x=1)3 %3D

A: Important formula ddxxn = x(n-1) (a+b)3 = a3 + 3a2b +3ab2 + b3

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: II. Write the equation of the circle in standard form and in general form given its center and radiu...

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Q: The demand function for an item is given by 100 d(x) = (20 < ¤5 50) 0.01z² + 1 where d(x) (measured ...

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Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we a...

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form 

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

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Q: E Sove the differential equations 1. (6x-3y+2) dx = (2x-y-1)dy when X=2, y=7

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -6 X-intercept...

A: We have to find a rational function with vertical asymptotes at x =-1 , x= -6,   x-intercepts at x=2...

Q: 1. Use the function f (x) = x² – 3 to answer the following questions" A. Find the average rate of ch...

A: Given: f(x)=x2-3

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x = 2 and roots of multiplicity 1 ...

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Q: 1. Calculate the Integral sin x cos x dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: (2) = 3y² – y² sin x dx (3) (x² + 1) = y² + 1 %3D dx

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: Evaluate dV, where E lies between the spheres x2 + y? + z2 = 4 and x? + y? + z² E x² + y? + z? = 36 ...

A: x​=ρcosθsinϕ y=ρsinθsinϕ z=ρcosϕ ρ2 = x2+y2+z2 ​

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x) = - 7x. a) Find the domain of f, g, f+g, ...

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Q: Suppose that f(2) = 16 and that f (x) 2 - 3 for allx in the interval [2,7]. Determine the smallest p...

A: Follow the procedure given below. 

Q: 15) Consider the following equations of quadric surfaces: a) x=+-4 b) x? - y? + z? = 4 i) Identify t...

A: 15) b) The given equation is: x2-y2+z2=4...(1)

Q: Plot all of the existing five features of the following rational function (some may not be needed). ...

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Q: Find the linear approximation to f(x, y, z) = at the point (–2, 3, 2) f(x, Y, z) ×

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Q: Two forces, with magnitudes 2 N and 3 N, act on an object at 10° to one another. Determine the resul...

A: Given that: Two forces are: 2 N and 3N acting at 10° to one another.

Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: 8) Which of the following functions are solutions of the differential equation y" + y = sin x? a) y ...

A: The given differential equation y''+y=sin x

Q: x2 - 2x + 1 dr. (x² – 2r- 3) 2.x

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Q: xdx Evaluate: 2 - x2

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Q: (b) (c) yA

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Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 3. In (cose) tane de

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Q: function is in a form of y = ax^3 + bx^2 + cx + d. It has relative maximum at (3, 3) and point of in...

A: Here we use the basic concept of differentiation for finding the relative maximum and point of infle...

Q: Inverse function Problems: Walking can burn about 26 calories per minute. a) If you walk for 40 m...

A: given that, walking can burn about 26 calories per minute. find the following a) if you walk for 40m...

Q: f(x) = 1 and lim g(x) 15. If lim = 2, then evaluate each limit. x→0 x→0 X f(x) b. lim x→0 g(x) a. li...

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Q: Find the surface area of a square-based pyramid whose lateral faces are isosceles triangles with bas...

A: Pyramid has four lateral faces and one base face. Total surface area = base area + 4 lateral face ar...

Q: II. IDENTIFY THE CRITICAL POINTS & DETERMINE THE MAXIMUM & MINIMUM VALUE. (SKETCH THE GRAPH) A. y=9-...

A: Graph:                                    

Q: J csc 3x dx

A: