1. y A 0 2 -x f=

Q: Evaluate the integrals (5) (6) (7) f cos2x sin²x dx tan’xsec’xdo f tan³x sec5x dx

A: Here we have to integrate the given function

Q: y + 3y = 2xe-3x y-2xy = et²

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Q: An entrance to a castle is in the form of a parabolic arch 8 meters across at the base and 4 meters…

A: An entrance to a castle is in the form of a parabolic arch 8 meters across at the base and 4…

Q: 1 cos(4(1.001)-4) 2((1.001)-1)

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Q: A visitor is staying in a tent that is 7 miles west of the closest point on a shoreline to an…

A: We have to minimize time taken to reach at the island from camp.

Q: Problem 2.1: Find the PS of where n = constant. S dy dx y(1) = 1984 y=nxn+1

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Q: Q4 The path of a particle in the xy-plane can be modelled by the parametric equations .x=2+ cost and…

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Q: √3x +79-8 lim x-5 x² + 2x - 15 =

A: We will find the required limit.

Q: Determine the value of k such that y=4x²-3e²t is a solution to x(1−x)y''+ (2x²− 1) y'+k (2x − 1) y=0…

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Q: 3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.

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Q: EXAMPLE 9 Sketching the graph of an exponential function Determine where the function f(x) = 1 √2π…

A: Given function : f(x)=12πe-x22

Q: lim_g(y) where, g (y) = y-2, lim g (y) y² +5 ify -7 = -| નવ DNE y² +5 1-3y lim y+-2, if y < if y2-2…

A: The given functions, 1) gy=y2+5if y&lt;-23-3yif y≥-2 2) gy=y2+5if y&lt;-21-3yif y≥-2

Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: In Exercises 7-14, a series an is given. (a) Give the first 5 partial sums of the series. (b) Give a…

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Q: Find the tangential and normal components of the acceleration R(t) = (2sint, t, 2cost)

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Q: Is w = 2² analytical function or not?

A: The given complex function is: w=2z

Q: lim = (5(x² − 1)² - 10) X→2

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Q: x-x²y² + 16y4 lim (x,y)-(0,0) x2 + 3xy + 4y²

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Q: Find the average rate of change of the function over the given interval. f(t) = 4t² - 3, [5, 5.1]…

A: Topic- Average rate of change of function over the interval and instantaneous rate of change. Note:…

Q: A cold drink is poured out at 55°F. After 2 minutes of sitting in a 60°F room, its temperature has…

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Q: B)Z = 1 + e¹, find |Z|.

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Q: Evaluate the multiple integral 2x ³S²S² y + x dz dy dx

A: First, integrate with respect to z, with respect to y, and then with respect to x

Q: Let f be the function given by f (x) = 5x³ - 3x - 7. What is the value of f' (-2) ? B D -114 17 50…

A: SOLUTION-

Q: Sketch a graph of the function f(x) = 2 sin Clear All Draw: M 6+ 5 4 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2…

A: To graph the function.

Q: Where did the square go and how did we get -4 as a coefficient

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Q26 Sasha is trying to bound the error of her M10 approximation of S f"(0) = 0 and f"(T) = 0 and so…

A: We have to find part a,b and c .

Q: Find the equation of the plane that contains the point (3,-1,4) and is parallel to the XY plane

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Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: find f+g, f-g, fg and f/g and their domains f(x)= 5-x and g(x)=x^2-4x domain of (f+g)(x) in interval…

A: Given:- fx=5-x , gx=x2-4x

Q: S2 cos (w - Sec W tan (w) dw

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Q: a) Find the simplified form of the difference quotient for the function f(x)= b) Complete the…

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Q: Find the equation of the plane through the point P=(3,5,5)P=(3,5,5) and parallel to the plane…

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Q: -5 -4 -3 -2 -1 -6- -5- 4 -3 2 1, O y = f(x) -y = g(x) 1 2 345 X

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Q: O 1 $. z² dz z²+3z +2 -6лi 3лi inside the circle |z| = 4 O 4 -6 πί

A: Integration

Q: (a) Find the volume of the solid bound by the parallelopiped formed by the vectors a = (−2, 0, 5), b…

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Q: Find the length of the curve R(t) = (2t, cos 2t, sin 2t), 0 ≤ t ≤ π

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Q: Suppose the binomial expansion of (5x + 2y)" includes the term 175000x¹y³. The y term in the…

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Q: Graph the function f(x) = are -2, 0, and 1. Clear All Draw: 104 9 8 6 + -10 -H # -H -14 - 4x² and…

A: Let's solve for tangent line slope and draw a tangent line.

Q: ƒ(x) = { C = cx + 4, cx² - 4, For what value of c does lim x→→6 x < -6, x ≥ −6. f(x) exist?

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Q: lim g (y) where, g (y) = y² +5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 if y<-2 if…

A: Follow the procedure given below.

Q: Prime Interest Rate The function P, whose graph follows, gives the prime rate (the interest rate…

A: A function is said to be discontinuous at a point x=a, if we see any gaps in the graph of the…

Q: What is the rule of the inverse function of f(x) = (5/x) + 3

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Q: 26. {an} 1.15 = - n

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Q: 19. Radioactive Strontium The half-life of strontium-90 is 28 years. How long will it take a 50-mg…

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Q: Sketch a graph of the function f(x) = = 4 cos 2 x

A: The graph of function f(x)= - 4cos(x/2) is

Q: By determining f'(x) = lim h→0 f(x) = 8x² f(x+h)-f(x) h 1 find f'(5) for the given function.

A: As per the rules we can answer only the first question and other can be reposted,

Q: Identify a function f that satisfies the given characteristics. f(3) = 9, f'(x) = 2, f(x) = > -8 < X…

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Q: tan x-2x³y = c

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Q: If f(x) = 7e-9 + 8x, determine the antiderivative of f (x). O 7e9 +8+ C O 7e-9 +4x²+C 7e²-8 x-8…

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