Find any vertical asymptotes of the function: 7 e² - 5 f(x)= 1 Write the equation with the lowest value.

Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: Make a table of values for the equation. xy = 5 X -4 -2 -1 I 이 1 2 4 y ☐☐☐☐☐☐ Sketch a graph of the…

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: 1. (Section 14.1) Graph the curve given by vector function 7 (t) = of positive orientation. Do not…

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Q: 10- x - x² if 3x + 13 if In(x-1)-2 if Calculate the following limits. Enter "DNE" if the limit does…

A: Topic - limits and functions

Q: Sketch the graph of the function. [21x if || ≤ 1 if || > 1 f(x) ) = {2시 -3 -2 -1 -3 -2 -1 4 2 -2 y…

A: Topic - graph of a function

Q: Express 0.96 in the a/b where a and b are integers such that b=0

A: Given data:- The given equation is 0.96,

Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists.…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

Q: Hello, can you help with the below math exercises with the explanation please? Thanks a lot! 5/…

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Q: Consider 3 4+2³ (a) First, define this as a Mathematica expression and compute the third derivative.…

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Q: b) Calculate the following definite integral: [* (√x - 1) dx

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Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

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Q: Can someone explain tangent for more as well as limits. *all of this within calculus *

A: Please see the below picture for detailed solution.

Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: C. Find the standard form of the equation of a circle given the following conditions. 12. Center at…

A: Find the equation of the circle whose centre is at (2,m), radius is twice the y co ordinate of the…

Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: Procedures and Problem Solving Library of Parent Functions In Exercises 5-8, use the graph of the…

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Q: Find the domain of the function. (Enter your answer using interval notation.) √x 8x² + 7x1 g(x)= =

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Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a divergence free vector…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: For which interval is the function f(x)=x√√4-x² continuous O (-∞, -4] and [4, ∞) O (-∞, -2] and [2,…

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Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers /2…

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Q: When a business sells an item, it receives the price paid by the consumer (this is normally greater…

A: We need to answer revenue and cost model.

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(2-x)…

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Q: 2. A 400-gallon capacity tank initially contains salt solutions consisting 150 gallon of water and…

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Q: Find h(x) and g(x) such that f(x) = (hog)(x). f(x) = √8x+6 Suppose that g(x) = 8x + 6. h(x) =

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy y -y xy…

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Q: Find a nonzero vector parallel to the line of intersection of the two planes 2y 5x - 3x = -5 and 5y…

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Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: r₁(t) = (14,3, 11) + t (−4, −1, −3) r₂(t) = (0.5, 4, −11) + t (1, 2, −4) Find the point of…

A: Given: Equations of lines:r1(t)=14,3,11+t-4,-1,-3r2(t)=0.5,4,-11+t1,2,-4

Q: 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you are down to 10mg…

A: Given problem:- 1. 15mg of Carbon-14 decays at a rate of .012% continuously a. How long until you…

Q: Given the values for sine and cos0, use the reciprocal and quotient identities to find the values of…

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Q: Find the distance from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

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Q: Given the function f(x), find f'(x) f(x) = 9x² COS X

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Q: D The graph of the function h is shown. 3 2.5 2 1.5 1 0.5 O -0.5 -1 -1.5 -25 -5 -4 The limit is…

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Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: Q. 3. a) Find first and second derivatives of the following functions: +7x y=cot(3t-1) 201

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Q: Find values for c and d that make h(x) continuous. ۱۱ - c=d=0 2x h(x) = cx²+d O c = 2 and d = 0 O c…

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Q: skills. AJ re* d 3. [xln(x) dr A.I 5. x²e - dx arctan(r)dx besche Art of (In.2) ² (7.). FRAZA dx…

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Q: A point is given on the terminal side of an angle drawn in standard position. Find the values of the…

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Q: Express the repeating decimal as a fraction. 0.9012 82 82 82...

A: GIven problem:- Express the repeating decimal as a fraction.                       0.9012 82 82…