1. cos? 2t dt

Q: b) f(x) = (e* (Inx² – 3))*

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Q: Find the critical numbers of the function. J(x) = Vr² – x O 1/2 O 1/2 & 1 O 0, 1/2 & 1 O 0 & 1

A: Given thatJx=x2-x3To find ; Critical numbers Solution :Critical numbers=find first derivative and eq...

Q: The GDP of a certain country is $615 billion and is increasing by $25 thousand per person. The popul...

A: Given query is to find the rate of change of GDP.

Q: Jo 17. cos² x sin? x dx

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Q: Assume that x = x(t) and y = y(t). Find dt using the following information. dy x² +y? = 2.92; - 2 wh...

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Q: Find the area of the triangle with vertices P(1,3, –2), Q(0,0, 0) and R(3,5, 1). NOTE: Enter the exa...

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Q: S e'mx' dx Inx?

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 4 sec2x dx 2. tan2...

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Q: sec?xdx Which of the following is the same as which will lead us to the correct evaluation of this i...

A: We will find a integral which is similar to the above and can be solved. 

Q: - 6 30 -dp- 2 x - 25

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Q: ind the tangent to the föliüm of t what points on the curve of x' +y 6xy is the tangent line horizon...

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Q: dx Evaluate: x2+ 8x + 20 A In (x2+ 8x+20) B) None sin -1 +C (D tan +C X+4 E tan +C F -sin 2 +C 2 2.

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Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: The sales functlon for a product is given by S(x) = 123 + 11.1x? - 0.1x, where x represents thousand...

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Q: Let A(x) = | f(t)dt where f is the function given by the graph below. 0. -1 -2 -3- -4+ i. A(2) = ii....

A: Given query is to find the value of A(2) and A'(2).

Q: iven curves. y - x?, y - 2x - x? y

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Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact ...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. (x³ + 1)² dx

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Q: The equations for two planes are given below. a) Determine a possible value of k for which the plan...

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Q: f(x) = 9x + 9 %3D g(x) = x² – 7x – 8 - Find |(2) g. The domain of is z + Question Help: D Video Add ...

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Q: 5. Find the Cartesian equation of the plane that has a z-intercept of 3, a y-intercept of -2, and is...

A: Explained below

Q: Evaluate the definite integral. dx | 25 + (x + 4)2

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Q: A truck is traveling due north at 55 km/hr approaching a crossroad. On a perpendicular road a police...

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Q: Use the intermediate value theorem to determine whether the function f(x) = x° + 6x- 8 has a root or...

A: Now to get it is he hard part. You have to start with 1 and 1.5 as borders. If the root lies within ...

Q: csc–xdx =2 csc-x.-dx 2 2

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Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt 4 4e'+e-' 4dt B 4e'+e N...

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Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

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Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

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Q: Q4 A) What is the value of the limit of the function f(x) as x approach 0 x+2x-3 sinx + 4 <f(x) < x-...

A: Topic:- limits and function

Q: If f (x) = = |e*dx and f (0) =2, then what is f (2)? A) e+2 B В e2+1 e2 D e2-1 E) None

A: Explanation of the answer is as follows

Q: Let a = and b =. Show that there are scalars s and t so that sa + tb =. You might want to sketch the...

A: a=-2, -1, 0b=-4, 1, 3sa+tb=s-2, -1, 0+t-4, 1, 3=2, 4, 3-2s-4t=-2s+2t=1 ...(1)-s+t=4 ...(2)3t=3 ...(3...

Q: Find the absolute maximum and absolute minimum of the function on the given interval. f(x) = x – cos...

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Q: Evaluate fv2 2) (2a? – 2?) dæ æ²) - -

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: imum. Select the correct choice below and, if necessary e your choice.

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Q: ple 1.2.15: Let y= 6u'+5u, u=lnx, find dx

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Q: Use l'Hôpital's rule to find the following limit. 1 1 1. x-2 In (x-1) X-2+ 1. x-2 In (x-1) 1. |(Type...

A: Given query is to find the limit of the expression.

Q: olynomial graphed below -4 -2 -3 -4- y(x) =

A: Topic:- polynomial

Q: 2 Find CD C = 4 %3D 5 6 Find DC D

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Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: 10 Which of the following is the derivative of g (x) = x2 -10 g (a) = x3 O g (2) = -10 d (x) -10 O g...

A: Question is solved.

Q: A piston is seated at the top of a cylindrical chamber with radius 7 cm when it starts moving into t...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: Find the value of >(-1)"-1. n=1

A: To find the sum of the given series  Note : If a series is divergent then we cannot find its sum.

Q: 4 xf (x* )dxif f(x)dx = 5. Find Enter the exact answer. f (x* )dx=

A: given:-∫04f(x)dx=5now∫-20xf(x2)dxlet,x2=t2xdx=dtxdx=12dtx=-2,    t=4x=0 ,       t=0  

Q: Q3) Find the limits of the following functions V2+12-4 3.lim t2+t-2 tan3x lim X-0 sin8x 1. lím 2. t-...

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Q: Determine if the series (–1)³n 1 n=1 converges or diverges.

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Q: The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters fro...

A: Mass

Q: 2xy +1 x + 2y dy dx

A: