Question Given f(x) below, find f' (x). f(x) = %3D cos (x) Provide your answer below: f'(x) =D FEEDBACK MORE Content attribution

Q: - 4( Let u(t) = 8t i+ (-9)j-8k and v(t)= e'i+9 ej- e "k. Compute the derivative of the following…

A: topic - dot product and derivative of a function

Q: Question Suppose the following sums are given. 120 120 2 a; = -2 2 a; = -19 i=1 i=44 Compute 43…

A: We have to find sum

Q: dx 4e2a -8e+5 e

A: We want to find the integral.

Q: EXAMPLE 3 Find the greatest and smallest values that the function f(x. y) xy takes on the ellipse…

A: Application of differentiation

Q: D) Decreasing on (-00, 0) Determine where the given function is concave up and where it is concave…

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Q: Let f(r, y) = - 4

A: This is a problem related to function calculation. Based on the formula and concept we will find the…

Q: Determine by direct integration the centroid of the area shown in the figures. Where a= 22 cm and b=…

A: The centroid of the bounded region: The centroid x¯-y¯ of a region bounded by the graphs of the…

Q: Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c.…

A: Topic = Application of integration

Q: 8 dx I (x – 2)(x +6)

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Q: 3 p Show that the area of an equilateral triangle with sides p cm is A = 4 If the side is changing…

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Q: Find * L(sin? at) 2

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Q: What is the quotient when 4 + 8i is divided by i3?

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Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: y* + 3y2 + Evaluate f*, in two ways: using partial fractions and using a trigonometric…

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Q: Solve triangle ABC if LA = 41.4, a = 186.2, and b 244.4. %3D %3D sin B = %3D

A: answer is in next step

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: -1 34 -30 10

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Q: The weekly demand for the PULSE 25 LED TV is р 3 600 — 0.05х, 0 < x < 12000, where p denotes the…

A: The weekly demand for the PULSe 25 LED TV is p=600-0.05x0≤x≤12000, where p denotes the wholesale…

Q: Évaluate the integral of 2xdx /(2x²+4) if the upperlimit is G and the lower limit is 3.

A: Given,             The integral of 2x/(2x2+4) dx if the upper limit is 9 and the lower limit is 3.

Q: The equation 3y" +12y = 3sin(4t) where y(0) = 0 , y'(0) = 0 when solved using Lapla transform,…

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Q: With the throw of two dice, what is the probability that the sum will be a prime number?

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Q: Q2/ Find the Laplace transform of the following function: f(t) = t3 + 3t2 – 6t + 4. %3D

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Q: dy Q1. Solve the O.D.E'S y + 4 = 2x using separable of variables. dx Q2. Solve the equation x y? dy…

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

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Q: Find the asymptotes of the functians and skerch them 2. Y -3

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question...so…

Q: separable 2

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Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

Q: L-1 (2s-9 Is²+2.

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Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

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Q: b) Is the series is convergent n2 + Vn2 + 33n + 10 n=1 or divergent? justify your answers.

A: Limit Comparison Test : Suppose we have two positive term series ∑ an and ∑bn .And suppose that  L=…

Q: (-1)" /n + I is n + 2 n=1

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Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: 50 ee the wWind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. A = {1, 3,…

A: Let's find.

Q: Setup a definite integral that represents the area bounded by the graphs of the indicated equation…

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Q: ex -dx e2x+1 00 Determine el valor de a e R tal que: 4 a

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Q: -dx 8a2+5

A: We know that integration of (1/x) is( lnx + c) .     Here i attached the solution of this question.

Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: Given the graph of the function f below, Which of the following must be true? lim A) lim f(x) = lim…

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Q: For each year t, the number of trees in Forest A is represented by the function A (t) 82(1.025). In…

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Q: Find the derivative of [(xt1)*] /x.

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Q: 00 et -dx 2x +1 π 4 a

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Q: 4 a Evaluate In 3. b On the axes below, sketch the graph of y = Inx -3 -2 -1 2 3 -2 -3 The graph y =…

A: This is a problem of the function. Based on the formula and concepts we will answer the question.

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: . Chris purchases a living room set for $4,900. He has a one-year, no interest, no money down,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose that the displacement of a particle at timet in seconds is given by s(t) = + 5t2. Which of…

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Q: 2) Consider the function g defined by (7X/g)+ glx, y) = COS logs (x-y) la) determine дудх

A: To find out the partial derivative.

Q: Find all values of x and y such that Px(x,y)=0 and Py(x,y)=0 simultaneously.…

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Q: A linguist studying the spread of new words and slang observed that the number of daily occurrences…

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