Calculate the integral, assuming that f f(x) dx = 8 and g(x) dx = 6. (Give your answer as a whole or exact number.) 5 [² (3/(x) + 1 8(x)) dx =

Q: Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a =…

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Q: 2. The heights, h, of two balls, in metres, after t seconds are shown in the graph. ba 20 16 12 8 4…

A: Let's find time interval for two balls less than 2 m a parts and maximum height between two balls.

Q: If ƒ (x) = x³ − 3x + 5, find (ƒ−¹)′ (x) at x = f (2).

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Q: A painting is purchased as an investment for $175. If its value increases continuously so that it…

A: A painting is purchased as an investment for $175.If its value increases continuously so that it…

Q: Given the vectors u, v and w in R³, which of the following calculations could result in the answer…

A: Given: Vectors u, v and w in R3. Final answer of Operation should be 3. Cross product of two…

Q: If ƒ(x) = 7x² − 7x − 24, find ƒ'(x).

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Q: g= 4³* + (3x)* 3x

A: Given : g=43x+3x4   To Find : First Order Derivative of g

Q: 1. Find two sets of three consecutive odd integers such that the sum of their squares equals 251.…

A: Assume the first odd integer x. Since the integers are consecutive odd integers, then the next two…

Q: The vector field F(x,y) = (5y + 3x)i + (3x + 5y)j is not conservative. Select one: O True O False

A: Let the vector field is F(x,y) = M(x,y) i + N(x,y) j   Then, this vector field is conservative if we…

Q: ƒ(x) = ( 1² ) 3 +3

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Q: the logistic equation (with t in months.) P(t) = 0.0225P(t)- 0.0003P(t)² ) Find out the percentage…

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Q: Question 4 The position of a particle is described by the equation s (t) = t² - 2t + 18, t ≥ 0. What…

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Q: A force is specified by the vector F = [(-110)i + (130)j + (150)k] N. Calculate the angles made by F…

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Q: 60 J 61 11 X Find the exact value of each trigonometric ratio. You do not need to reduce.

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Q: For the following functions find the partial derivatives toe te te + ехе ће хе Fel t tel дгох даду…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: factor each number correctly 62 30

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Q: Prove the identity. cot²x (sec²x - 1) = 1

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Q: Use completing the square to rewrite y = 2² +10x + 16 in vertex form. Identify the maximum or…

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Q: Prove the identity. (1- cos x)(1+ cos x) = 1 1+cot’x 2

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Q: False True 1. Given the equation f(x) = 3x² − 6x + 2, the vertex is a maximum located at (1, -1)

A: Given :fx=3x2-6x+2

Q: 7. Find the surface area generated by revolving y = x² from x = 0 to x 2 about the x-axis. = a.…

A: To find the surface area generated by revolving y=x2 from x=0 to x=2 about the  x-axis.

Q: B. Integrate the following functions: iii. ₁³4x³ +9x² + 2 dx

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Q: 0 6√√13 Find the value of cos(8) given the right triangle. 18

A: formula used is cosθ=base hypotenuse

Q: 5. To find the -intercepts, set x equal to 0.

A: Intercepts are those points where the graph of a function intersect the axis

Q: Question 3 Consider the function f of one variable with equation y = f(x) = ln(a - e*) where a is an…

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Q: Calculate the integral, assuming that f f(x) dx = −5, f² f(x) dx = 3, f₁ f(x) dx = 11. (Give your…

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Q: 2. Identify the vertex and state whether it is a maximum or minimum. Be sure to show all work. f(x)…

A: To identify the vertex of given function

Q: Use the information given below to find cos (a +ß). 4 tan a = - 3' 12 13' sin ß= with a in quadrant…

A: To find the value of given trigonometric function.

Q: A farmer is building a new cylindrical silo with a flat roof and an earthen floor that will hold 20…

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Q: How do you find this using a graphing calculator?

A: Let's find local minimum by using graphing calculator.

Q: Q1: The Trapezoidal rule for f f(x) dx = 5 and Midpoint rule f f(x) dx = 4 .What value does Simpsons…

A: Solve

Q: Consider the helix r(t) = (cos(-3t), sin(-3t), -2t). Compute, at t = : A. The unit tangent vector T…

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Q: (b) Let 3 = (t, 1, 0). For which value(s) of t are w and 3 parallel? s t =

A: Let  v→=⟨1,4,2⟩  and   w→=⟨1,-4,0⟩.(b)  Let  s→=⟨t,1,0⟩. For  which  values of  t  are  w→  and  s→…

Q: Find the vector component of v = (4, -1,7) along b = (4, 4, -7) and the vector component of v…

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Q: ] 4. What value of x satisfies the following equation? 42-283x-6 (Only type your numerical answer in…

A: As per bartleby policy only one question is allowed to solve if multiple question is asked in single…

Q: Use the 2 solutions Bernoulli's equation y' + y x -√y=0

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Q: 2. The limit of the sequence {cos cos an n+1 is

A: The given sequence is: an=cos(πn)n+1

Q: The function f(x) = except when x=2 3x²-5x-2 x²-7x+10 except at x=2 and x=5 = 3/3/201 O except at…

A: given  f(x)=3x2-5x-2x2-7x+10for continuous x2-7x+10≠0

Q: Find y' if sin¹(xy) O1+sin ry√1-x²y² 1-r²y² O O x+(sin y)√1-x²y² sin y √1-x²y² 0700 None of these =…

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Q: 3. The rate of change of the number of people who knows a certain rumor is proportional to the…

A: The rate of change dNdtof the number of persons who have heard a certain dt rumor over time is…

Q: 3. If the equation s(t) = t³ − 2t² + 1 describes an object's motion in metres, at what time t, in…

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Q: For the given position vectors r(t), compute the (tangent) velocity vector r' (t) for the given…

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Q: you

A: Topic:- function

Q: shouldnt e=2.71?

A: Yes, Value of e = 2.718

Q: 3. The sum of the series ; en+1 is

A: Given :∑n=1∞1en+1

Q: ind the stationary point of wn the plane and the value of F at that point. . The stationary point is…

A: Find the stationary point.   A. The stationary point is at  And at the stationary point F (x,y,z)

Q: Step 1 To find the x-intercept, set y = 0 in the equation 3x - y - 9 = 0, and then solve for x. 3x -…

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Q: For f(x) = x what is the equation of the tangent line at x = − 1? Calculus Derivatives > Tangent…

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Q: Let x and y be two positive numbers whose product is 100. Determine the values of x and y such that…

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Q: Find the average rate of change of the function f(x) = = Average rate of change Give exact answer! =…

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