Evaluate: J 1+sinx -dx

Q: dx V4-9x2

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Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

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Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: | tan 3x sec 3xdx 3.

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Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: 20. Evaluate: 2x²Vx3 + 1 dx:

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Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: Evaluate the integral :   ∫5cosxcot2sinxdx

Q: y = 2Vx, y= Find the area of the region enclosed by the curves.

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: 12. Evaluate the given integral, J x² sin x dx: A. - x2 cos x + 2x sin x + 2 cos x + c B. x2 cos x +…

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Q: Simplify cos2θ*(1+tan2θ)

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Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: Find the points on the ellipse x+3y =1 where f(x.y) = xy has its extreme values. The points are…

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km /…

A: Given : Time =9.65 s Distance =100m

Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: 4x x - 3x – 18 logarithms. Express powers as factors. 20. Write log2 asthe sum and/or difference of

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Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: Jcos'xsinx dx 2.

A: (2). Given: I=∫cos3xsinxdx   ...1   We know that, the Power rule; ∫xndx=xn+1n+1+C ; n≠-1

Q: The raius of a circle is randomy chosen fro the interval (0,10). Determine the probability that the…

A: Let, the radius be r, which belongs to the interval (0, 10)  So, 0 < r < 10  The area is, A =…

Q: Find ?Va² - x2 dx

A: Explanation of the answer is as follows

Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

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Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: Find f. f "(t) = 2e + 6 sin(t), f(0) = 0, f(x) = 0 %3D %3D f(t) %3D

A: We can solve the given problem as follows:

Q: . Identify and sketch the graph of the following equations (a) a2 + 2y? + z² – 8x + 12y – 2z + 35 =…

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Q: Find any relative maxima and relative minima. (If an answer does not exist, enter DNE.) y4+ 20x - ax…

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Q: .3. cot°x csc*x dx

A: Find your answer below

Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: -2 (5х2-3х+18)dx 1. 1 9х-х3

A: We use partial fraction to find the given integral As per our guideline we supposed to answer only…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞ \ 4t2 + 5'4t (?, ?)

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: 8. A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate…

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Q: (Vx+4-3 if x # 5 Given: f(x) =: X-5 (к, d K so that f is continous at x = 5. if x = 5

A: We have to find out k value for which it is continuous

Q: d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by…

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

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Q: 1. Below you are given the graph of the function y=(1). Use the graph to answer the questions. a)…

A: Given the graph of the function y = f(x)  i.e. as we put the value of x in function we get value of…

Q: A F(s) = S + 5 1 B F(s) = s2 + 25 120 F(s): s6 S + 5 (s + 5)2 D F(s) +

A: We have to find Laplace

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: 3. S: (х2+2)2 dx

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Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

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Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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