(1) For what values of x are the following functions continuous? Show work. (6 3x a) f(x) = 2cosx-1 b) f(x)=√√20-x-x²

Q: Refer to the figure. V 30° u 45° 15⁰ q 20° W Find the components of q = (91, 92).

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Q: ✓ 5) a) lim X-1 Hopital's rule 2 x²-7x +6 x2 - 5x-6 - b) lim ex- e - 2x X-0 2 x² Find the limit. IF…

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Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

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Q: 1 (a - b) In (a − x) (b - x) X *)] = [K₂ t]

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Q: Find the first partial derivatives of the function. Əw ди Əw Əv 11 W = Need Help? ev u+v5 Read It

A: Given

Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

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Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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A: T=Temperature in degree FahrenheitN=Number of chirps per minute

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A: Use the u-subsituation method

Q: 4. Determine the 75th derivative of each of the following functions. f(x)=xe b) f(x) = 3 cos2x a)

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Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1

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Q: Solve the differential equation. (t-4) s' +8(t-4) s=t+4, t>4

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A: Given profit function  p( x ) = 2000xe-x40 Where profit in dollars  x is the units sale

Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: Find f. II f"(x) = cos(x), f(0) = 6, f'(0) = 4, f'(0)4, "C

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Q: To solve the following problem, use the Limit definition of derivative. a) For the function f(x) =…

A: To solve the following problem, by using the limit definition  of derivative. (a) For the function…

Q: 65. an (1 + 1/1) n

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Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

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Q: 20. Practice similar Help me with this. Use the limit comparison test to determine whether For n ≥…

A: We have to to Check the convergence of given series.

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: 7. In the two questions that follow, the function f(x)=b* is an exponential function. Think…

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Q: 7) Find the area bounded by the line y = x and the parabola x = y² - 2y.

A: We know that the area formula int_a^b {f(y)-g(y)} dy

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Q: The following table gives values of a continuous function. X ave 20 25 30 f(x) 41 38 29 35 40 45 50…

A: The following table gives values of a continuous function. x 20 25 30 40 45 50 fx 41 38 29 26…

Q: (b) (c) -2 (d) 1 f's 0 0 (a) f(x) dx = -2 -1 1 ['re f(x) dx = 2 fro -1 274 -2 f(x) dx = 10 f(x) dx =…

A: As per the guidelines we are supposed to solve only the first 3 subparts. Please repost the other…

Q: 63. bn = 3-4" 2+7.4" n

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Q: 10. Given = [10,4] and = [12, 13], find the projection of u on v. -

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Q: if √x ≤ f(x) ≤ 4₁ x + 1 for all the positive x-values, then what is lim P(X) ?

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Q: 2. The solution of the D.E. xdy + ydx = 0 is A. = C B. x² + y² = C C. xy = C D. x+y=C

A: xdy+ydx=0

Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: D. MEAN-VALUE THEOREM & ROLLE'S THEOREM Determine if Rolle's Theorem and the Mean Value Theorem is…

A: Note:- Since you asked multiple question , according to our policy we can solve only first question…

Q: Find the area of the triangle whose vertices are given below. A(-6,6) B(3,-2) C(11,-2) The area of…

A: Given: Triangle points:-  A(-6,6) B(3-2) C(11,-2)

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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Q: 4) A region is bounded by the line x = -1, the line y = 2, and the curve y = 2*. Find the area of…

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