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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: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

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Q: əz əs дz at 11 || z = e cos(8), r = st, 0 = √ s6 + 15

A: We can answer both the answer in the following steps.

Q: Make a table of values for the equation. y = x² - 5 X -2 -1 0 1 2 у Sketch a graph of the equation.

A: The given equation y=x2-5 we have to sketch graph of the equation Note:    Multiple questions are…

Q: 28. F(v) V v+2

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Q: R is the region bounded above by the function f(x) = −4+7 and below by the function g(x) = - + 2…

A: We need to draw graph.

Q: K For the piecewise function, find the values h(-9), h(1), h(S), and h(7) -5x-9, for x<-3 H() = 5,…

A: Topic - Functions

Q: Needed to be solved correctly in 10 minutes and get the thumbs up please show neat

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Q: Find the domain of the function. (Enter your answer using interval notation.) G(x): 8x + x X Sketch…

A: Solution ) G(x) = (8x + |x| )/x G(x) = 8x/x + |x|/x  G(x) = 8 + |x|/x  If x = 0 G(x) = 8 + 0 = 0 If…

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: Thank you!! How about if I want to know the angular speed in radians/sec?

A: Let's find angular speed in radians per seconds.

Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

Q: Find the indefinite integral by using the substitution x = 6 sin 0. (Use C for the constant of…

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Q: O V(2)-V(1) 1 O V(lim t) t-1 The size of a balloon is changing with respect to time, such that the…

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Q: Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

A: Given y'''-3y''+3y'-y=0

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

A: The given function is : f(x)=7ex-5

Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Find the area of the region enclosed by the curves y = 2 - x² and y = x. (a) (c) 9 2 54 (b) (d) 40 7…

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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: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: H.W. Solve 1) y" - 2y' + y = e* 2)y"+y'-1 = 3 cos(x) 3) (D² + 4)y = 8 sin( 4) y" + 3y' + 2y = 6xe*…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: Find the following limit. Answer as a fraction or integer (no decimals.) x² x +9x-22 x²-4 lim X-2 -

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Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: Evaluate: lim tan3x x→0 x

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Q: Consider the integral 2³ In(a) dz: Applying the integration by parts technique, let u = ln(2)…

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Q: 1. Find an equation of the tangent plane to the surface of z = sin(x - 2y) at the point (7,2,0).

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Q: The graph below is the function f(x) 5- -4 -3 2 -1 Find lim →4 Find lim →4+ Find lim H-4 4 30 1 f(x)…

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Q: 10) Consider three functions x(t), v(t), and a(t), such that dx dt dv = v(t) - -= a(t) dt The…

A: NOTE: Refresh your page if you can't see any equations. . here the given velocity function is

Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

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Q: sing the substitution u = √x + 3, evaluate 2 S. VELVE √(√x + 3)2 dr.

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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: Set up an integral for the area of the shaded region Evaluate the integral to find the area of the…

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Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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Q: 3) Prove that : tanz = 올n(부를) In

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Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A: To find the difference quotient of the given function.

Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: Question 150 An acute angle, e, is in a right triangle such that cose- O O 24 26 218 448 8 O 25 25…

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Q: 3.) Using the Graphing method, find the limit. When necessary, state that the limit does not exist.…

A: Solution is given below:

Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

A: The graph of the function gx is The table for the function fx is To evaluate: The value of the…

Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: (a) Find the Taylor series expansion of the function cos x around x = 0 (b) Use the first three…

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Q: n=1 1 n√n

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Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.