Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator (or computer) to check your work by graphing the curve and estimating the asymptotes. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) x = y = y = Need Help? Read It

Q: Find the values of a and b that make f continuous everywhere. x² - 4 X-2 f(x) = = ax² - bx + 1 4x =…

A: if f( x ) is continuopus at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: Te ex (ex - 7)(ex + 1) dx

A: The given integral is ex/[(ex-7)(e2x+1)].

Q: 5s - 7 (s + 3) (s² + 2)

A: Since we are given with multiple numbers of questions and answer will be according to the guidelines

Q: The graph below shows the relationship between the height of water in a bottle (in inches), h, and…

A:

Q: Camels have been reported to drink as much as 22.5 gal of water in 12 hr. How many liters can they…

A: Given that Camels have been reported to drink as much as 22.5 gal ofwater in 12 hr. Our Aim is to…

Q: An oil retinery produces oil at a variable rate given by the following equation, where t is measured…

A:

Q: C) On what interval(s) of x is the graph of g(x) concave up? Justify your reasoning.

A: Given the graph of g'(x) of the function g(x), where g'(x) has relative extrema at x=-1 and x=2.

Q: 05 O-S C O 35 log 7. Without using a calculator, state the value of log, (7-5 OO 8. Which expression…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given equations about…

A: We need to find volume.

Q: Given f(x, y) = 6x² fx (2, 3) = fy(2,3)= - 5xy + y, find the following numerical values:

A: f(x,y)=6x4-5xy2+y5fx(x,y)=∂ ∂x(f(x,y))fy(x,y)=∂ ∂y(f(x,y))we know  ∂ ∂x(xn)=nxn-1

Q: Consider vectors u and v. Find unit vector w in the direction of the cross product vector u x v.…

A:

Q: A city has a population of 36,000 people. Over the next five years, the population grows at a rate…

A:

Q: Establish the identity. csc ²0 (1- cos ²0) = 1 Which of the following shows the key steps in…

A: see below the answer and explanation

Q: 8. Find the value of k in order for k cos" ( 10. Prove the identity sin x csc x + cotx ² (2) - 6/2 k…

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Q: sec²x. - y X |dx +N(x,y) dy=0 dx

A:

Q: Let lim f(x) = 6 and lim g(x) = 12. Use the limit rules to find the following limit. X-5 X-5 f(x)…

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Q: Solve: 562 Ox=-3 x=3 Ox=5 x=-5 bri a_2logg (x+2) = logs (2x +19)856 PADO

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Q: By determining f'(x) = lim h→0 f(x) = 6x² = f(x+h)-f(x) h (Simplify your answer.) find f'(4) for the…

A:

Q: 5. f2cotx−3 sinx dx sin x

A: Using substitution and direct integration

Q: The arc length function for a curve y = f(x), where f is an increasing function, is s(x) = f✓ (a) If…

A: To find the arc lenth

Q: For what values of x is f continuous? 0 -{! 8 f(x) = if x is rational if x is irrational

A:

Q: The population of a region is growing exponentially. There were 30 million people in 1980 (when t=0)…

A: Law of growth P( t ) = P0ektwhere P( t ) = population at any time t P0 = initial population t = time…

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A: We have to slove above questions

Q: Calculate the area of the shaded part (-2, 1) Area 1 y = x + 3 and y=x²-3x + 3. 0 Area 2 (2,5)…

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Q: A graph of f(x) is shown below: -10 (-3,2) (-1,2) (-4.0) (4,1) f(x) (1,-2) Suppose g(x)=f(2x-3)+5.…

A: Given: gx=-12f2x-3+5.Using the graph of fx, we have to graph the function gx.

Q: Consider points A(0, -1, 2) and B(2, 1, -2). What is the length of vector AB? oo √21 √24 √18 0 √3

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. y…

A: Introduction To find the volume you can also use the definite integral to find the volume of a…

Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

Q: lim sin4x / x x—>0

A: To evaluate the following limit. limx→0 sin4xx

Q: You are designing a 500 cm³ right circular cylindrical can whose manufacture will take waste into…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3x² + 11x - 4 lim X→-4…

A: let  A=limx→-43x2+11x-4x2-16if we put x=-4,  A=00 form there for use l'hopital rule ∂xn∂x=nxn-1∂…

Q: 1) Derive the gradient descent approach for L₂ regularized linear regression. Specifically: E(c) =…

A: Given:L2 regularized linear regression J=1N∑(y-wx)2+λ∑w2 E(c) =(Ac-b)T(Ac-b)+lambda cTc

Q: Solve the equation on the interval 0 ≤0<2n. 6 sin 20-13 sin 0+7=0 What is the solution in the…

A: 6sin2θ-13sinθ+7=0given interval is 0≤θ&lt;2π

Q: log3 (log5 (4x + 1)) = 0.

A:

Q: 6. (D² + 1)y = 10e* sin x

A: see below the answer and explanation

Q: (2xy-tany) dx + (x²-xsec²y)dy = 0; y(1) = π

A: Given differential Equation:- 2xy-tanydx+x2-xsec2ydy=0

Q: c) the average value of f on [0,4]

A: Concept Average value in [ a , b ] Vavg = 1b - a∫abf( x )dx∫abf( x )dx = Area under the curve from a…

Q: 2x²x5 [x) = x² + 1 is a polynomial, so it is continuous at every number in its domain. is a rational…

A: Given function is a rationsl function. So it can be discontinous on zeros of denominator function .

Q: A line is shown. 10 69 8 7 6 5 4 3 لبا 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 123 4 -5 567 -6 -8 96 -10 1…

A: The slope of a line is given by;  m = (y2-y1)(x2-x1)

Q: Find the exact value of each function using the sum or difference identities: • Sin (60° +45°) •cos…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = -x^2 + 6x - 8 and y = 0…

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Q: Logarithm Rules log, xy = loga y log,x": log, b = log, b =

A: Given :logaxy=logaxy=logaxn=logab=logab=

Q: how do i find the derivative of 10^-x

A:

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

A: The answer is in step 2.

Q: Find fyx. fzy f(x, y, z) = x³y³ z³ + xy³ + yºz

A: Given :fx,y,z=x3y8z3+xy3+y6z

Q: 20. y = x², y = 4x − x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the derivative. [m(2)] d dx

A: Given ddx[ ln( x + 2 x - 2  ) ]

Q: Find the inverse Laplace transform L-¹{F(s)} of the given function. 12s² - 21s +54 s(s² +9) Your…

A: Given function:- Fs=12s2-21s+54ss2+9

Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - 7…

A: Solution is given below: