(b) If g(x) = [,! 1 dt, find g'(x) 4+t2

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: 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: ces to aCcess in When the following molecular equation is balanced using the smallest possible integ...

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Q: Graph the function fix) =x -1 over the interval (0, 21 Partkion the interval into four subintervals ...

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Q: sin? 2x dx 1+cos 2x

A: solution:-∫sin22x1+cos2xdxwe know thata2-b2=a+ba-bsin2θ+cos2θ=1sin2θ=1-cos2θ=1+cosθ1-cosθ  

Q: What is the area bounded by the curve ?^2 = −9? and the line y+1=0?

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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: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) = 2x...

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

A:

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: Given :f(x)=3x+1g(x)=x

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A: Note :- This is multiple subparts questions. And according to our company guideline we can do maximu...

Q: 42) Find the surface area of the solid that results when the region in the first quadrant bounded by...

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Q: Evaluate: J6e2 -x(x²)dx

A: Find your answer below 

Q: Let r(t) = -6t2 î+ (t² +3) ĵ + 7 k for t > 1. Reparameterize in terms of the arc-length parameter.

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Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

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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: 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: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: III. FIND THE POINT OF INFLECTION OF THE FOLLOWING CURVES. (SKETCH THE GRAPH) A. y= (1/3)x - (1/2)x²...

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

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Q: An equilateral triangle has a side length of 1.4x+ 2 inches. A regular hexagon has a side length of ...

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Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the ...

A: Solution: a) upper limit after 4 hours

Q: J csc 3x dx

A:

Q: nverse Function: One-to-one   Running burns about 13 calories per minute. a) How long would you h...

A: Given that: Running burns about 13 calories per minute.

Q: 2. Given r(t) = et cos t i + e' sin tj + e'k , find the tangential and normal components of accelera...

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Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =...

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Q: The shape of y shifted right 3 units and shifted down 4 units.

A: Follow the procedure given below.

Q: S dr 1+r

A:

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: 7. csc'x- cot'x + tan²x cosx - sin?xcosx

A:

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: Find domain, range, intercepts, symmetry, and asymptotes X-4 %3D | y = f(x) = x+3

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Q: Evaluate the integral: 7x/2x² – 5 dx ○ 중(222 -5)1 + O 중(2a22-5)- +C 7 21 o 글(272-5)-++C (2a² – 2 + C

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Q: 24) Find the volume of the solid that results when the region in the first quadrant bounded by the ...

A: Given:- curve x = 6y3 and line x = 14.8 Now, 6y3 = 14.8 y3 = 2.467 y = (2.467)1/3 y = 1.351 In The F...

Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: Direction: Find the derivative of the function. I+5 w = 2x - 7 Select one: 17 (2г — 7)2 17 (2x – 7)2...

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Q: lim g (y) where, g(y) = Sy? +5 if y -2

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Q: Given the differential equation y" + 5 y' = (x + 1) e3* Find the Characteristic Solution for the Lef...

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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: LESSON 11 SESSION 3 3\ Two garden beds are shown. The perimeters of the two gardens are equal. a. Wr...

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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: (12) х4 Яу + 2x3у -1 + 2x3у %3D 1 dx

A: For the solution follow the next step.

Q: B. lim 3* 1. Construct the table of values let x be -3, -1, 0, 1, 3, 5, 7, and 9. 2. Graph the funct...

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x- 3)2 X-1 %3...

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Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x) be...

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Q: 5. This is the graph of the function f. The dashed lines represent the asymptotes. Select the x-valu...

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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: S sin x e cosxdx

A: The objective of the question is evaluate the given indefinite integral using substitution method.