Q: Use the given information to find the exact function value. Simplify your answer as much as possible…

A: Given that the expression

Q: 1. Find the value of the expression lim x²+x+21 X-3 x-1

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Q: Simplify cos(4t) + cos(2t) sin(4t) + sin(2t) single trigonometric function. to an expression…

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Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

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Q: Write an integral that represents the area of the shaded region for = cos(20) as shown in the…

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Q: Complete the parametric equations of the line through the point (4,3,1) and parallel to the vector…

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Q: Water is leaking out of an inverted conical tank at a rate of 12500 cubic centimeters per min at the…

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Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

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Q: what technique should be used to evaluate these integrals a. Sx (cosx 2) dx b. Sx cos(x) dx √√√x…

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Q: Q7 Continuity 1 Point Let f(x) = x - 1 if x 1 x22x3 - 2x if x 1 Find the value of c for which f is…

A: for c=49​  f(x) is continuous Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Q2) Find the derivative of f(x)(Hint: use the fundamental theorem of calculus -part f(x)= | 1+2x t…

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Q: A piece of cardboard measures 45 cm by 30 cm. Two equal squares are removed from the corners of a…

A: The objective of this question is to find the volume of a box that can be formed from a piece of…

Q: (a) How many one-to-one functions are there from a set with four elements to a set with five…

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Q: math help

A: see explanationExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Given the points P(-2, 6, -2), Q(5, 7, 2) and R(3, 4, −1). Find the angle, 0, in degrees, that is…

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Q: Homework

A: The maximum volume is 3000 cu.cm.Explanation:Consider a rectangular prism:Recall the formula for the…

Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: Estimate the area of the surface generated by revolving the curve y = cos(2x), 0 < x <- x-axis. Use…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x): x²-4 = x² +4…

A: To find the absolute maximum and assolute minimum values of f on the given interval.

Q: Transform the following product by making the change of variable j = i - 1. 2n II n-i+7 n+i i = n =…

A: The given product

Q: Find the Laplace transform F(s) of e8(1-7).

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Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = coshx, a) Draw a…

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Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: Find the circulation of fluid motion F⃑(x, y) = xi⃑ − xyj⃑ along positively oriented ellipse x2 +…

A: The objective of the question is to find the circulation of the fluid motion along the given…

Q: Find the length of the indicated portion of the curve. r(t)=61³i-21³j+31³k 2st≤3 The length of the…

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Q: According to economic theory, the demand x for a quantity in a free market decreases as the price p…

A: Given:the number x of DVD players people are willing to buy per week from a retail chain at a price…

Q: Find the critical numbers of the function f(x)=-12x to the fifth power  - 75x to the fourth power +…

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: = u + v Add the vectors u = (−3, −2) and v = (1,0) graphically. Your graph should include u, v and…

A: W= &lt;-2,-2&gt;Explanation:If you have any problem let me know here in comment box for this…

Q: onsider the vector whose initial point is P(0, -5) and terminal point is Q(−4, 5). e position…

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Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: Given 6 = 41 - 2j and d = -101 + 73, find 16+d| and |b|+|d|.

A: Given b→=4i→−2j→ and d→=−10i→+7j→.To find : |b→+d→|,|b→|+|d→|

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: 5 K 7 10

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Q: Cal math help please

A: 1. ∫x2+17x+2​dx=27​ln∣x2+1∣+2arctan(x)+C (or)                          =27​ln∣x2+1∣+2tan−1(x)+C 2.…

Q: P=2^(43112609)-1 Suppose you have traveled to a faraway place where the base of the number system is…

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Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Problem #2: Find the Laplace transform F(s) of (41²-7)².

A: f(t) = (4t2-7)2We have to gind laplace transform of f(t)i.e....F(s)

Q: Suppose that f is a function given as f(x) = x² + 2x + 3. Simplify the expression f(x + h). f(x + h)…

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Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

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Q: Given the points A: (2,3,-1) and B: (2,4,0), find the vector = AB

A: Given the points A:(2,3,−1) and B:(2,4,0).To find: the vector u→=AB→

Q: Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to…

A: explained below Explanation:Step 1:(a) Construct a linear demand function for your website and hence…

Q: Find the area of the region inside the blue circle r = 2 cos 0 but outside the red circle r = 1…

A: To find the area of the region inside the blue circle  butoutside the red circle  shown below.

Q: N Find the general solution of this equation: 9y"+6y'+ y =

A: The objective of this question is to find the general solution of the given second order homogeneous…

Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

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Q: A. The instantaneous rate of change of demand with respect to price is _____when the price is ​$30?…

A: a) The instantaneous rate of change of demand with respect to price is called elasticity of demand.…

Q: For which values of t is the curve concave upward? (Enter your answer using interval notation.)

A: To find the values of  for which the curve is concave upward.

Q: if f(x) = 2+2x - 4x sqaured find f prime of 5

A: The objective of this question is to find the derivative of the function f(x) = 2 + 2x - 4x^2 at the…