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Q: Determine the vertical asymptotes of the following functions, if exist:

A: (a) Given function is: fx=x2-x-2x+1 Then we get, fx=x2-x-2x+1⇒fx=x+1x-2x+1⇒fx=x-2 Hence the graph of...

Q: Find the average value of the function on the interval. (x) - 8x; (0, 3) Find all x-values in the in...

A: Given the functionf(x)=8x,[0,3]

Q: i. In a hot-air balloon contest, it was observed that a particular contestant's hot-air balloon rise...

A: Click to see the answer

Q: Find the area of the region. 1.0 0.8 0.6 0.4 The xy-coordinate plane is given. There is 1 curve and ...

A: We need to find the area of the shaded region To find the area of the region under the curve , we us...

Q: 55

A: xcosydx+siny1+x2dy=0 Now, simplify the given differential equation. xcosydx=-siny1+x2dyx1+x2dx=-tany...

Q: Show your work neatly pleaseee!!?

A: Given: ∑n=1∞n57n

Q: please help solve

A: Given a line : x=-5 We need to find the slope of the line. Let's begin.

Q: How to solve this?

A: Given: I=∫x21-x2dx put x= sin t ⇒ t= sin-1x dx=cos t dt I=∫sin2 t1-sin2t(co...

Q: 3b

A: Given equation is 25x2-9y2=225. The above equation can be written as follows. 25x2-9y2=22525x2-9y222...

Q: Need help with grade 12 calculus homework questions ASAP!! can someone differentiate the following f...

A: Part (c): Given, fx=-1x2+6

Q: please help solve

A: the slope of the line = 1/5 hence, to find the equation y - 3.4x - 0.5= 15 y - 3.4 = x5- 0.1 y = x5...

Q: an+1 (a) lim = 9 n- 00 an O absolutely convergent O conditionally convergent divergent cannot be det...

A: Click to see the answer

Q: 1 (b) Evaluate dx by using properties of improper integrals. (x-2)3

A: Given : ∫13 1x-213 dx Solve by using properties of improper integral An im...

Q: Full solution please

A: The area of the region bounded by the functions f(x) and g(x) over the interval [a,b] is: A=∫ab[f(x)...

Q: Verify the integration formula.

A: To verify the integration formula, ∫uncos u du=unsin u-n∫un-1sin u du

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) - x 9(x) = x

A: Here, we are calculating the area for the shaded region between the function f(x)=x3 and g(x)=x4

Q: 4x2 - 3х + 2 dx. Evaluate 4x - 4х +3

A: Click to see the answer

Q: A manufacturer's production function is P= 7li ki. Find the marginal productivity with respect to I ...

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Q: What is the indeterminate form of the following

A: To show indeterminate of limx→12π(sec3x-tan3x)=∞

Q: The vertex of a parabola is (–5,1) and the directrix is the line y=–2. Find the focus of the parabol...

A: Given: 1).Vertex of the parabola is (-5,1) 2).Focus of the parabola is y=-2 To find : Focus of the p...

Q: Finding area Determine the area of the shaded region in the following figures.

A: Integration within specific limits is known as definite integration. The area under the curve can be...

Q: Can a function have an inflection point at a critical point? Explain

A: Show that: Can a function have an inflection point at a critical point?

Q: (Posting this again) Somebody already answered this here previously but I just wanted to post it aga...

A: Given :Lui is pre -selling a collector's edition anime figure which is valued at5000 pesos.f(t)=1700...

Q: Question 4: Evaluate f V9 – x² dx.

A: To evaluate ∫9 - x2x2 dx

Q: Solve

A: we have to solve the given differential equation.dydx=3ex , at x=0 y=6.

Q: A small hula-hoop was rolled on the ground. After rolling exactly 6 times, it went 37.7 feet. W...

A: When a circular rigid object rolls; the distance travelled is a multiple of its circumference. The c...

Q: 4. Evaluate the following integrals: a) (e2x +5e-*)dx b) (esecix sec tx tan nx)dx -In 16 0.

A: We have to evaluate the following integrals: a) ∫e3x+5e-xdxb) ∫esec πxsec πx tan πxdxc) ∫0ln16ex4...

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5) a...

A: Directrix is a line which together with a point called the focus defines the set of points that form...

Q: please help solve

A: Click to see the answer

Q: Find the limit (if it exists).

A: If the vector valued function is of the formr(t) = f(t)i + g(t)j + h(t)kThen its limit is given by,l...

Q: 1-3 plss :))

A: The rate of change tells us how one quantity changes as the other changes. For a linear function, th...

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately ...

A: Given: P(h)=128e-0.157h

Q: The alternating series En=4 st0 (-1)"(1-n) is 3n-n? (A) (i) (ii) (iv) Converge Diverge Inconclusive

A: The given alternating series is, ∑n=4+∞-1n1-n3n-n2 The first few terms of the series can be written ...

Q: ce of the series. (Enter your answer using interva

A: Click to see the answer

Q: Kindly help me solve the following problems. Show complete details and illustrations. Thank you! A r...

A: Given: To Find:

Q: 1. (a) Use the Wallis cosine formula to evaluate [cos' xdx.

A: Given that, ∫0π2cos9xdx As we know, Wallis Cosine Formula, If n is even, ∫0π2cosnx dx = 1.3.5......

Q: Wing design The design of a new airplane requires a gasoline tank of constant cross-sectional area i...

A: Given a gasoline tank. The mass of gasoline and its density are given. We need to find the length of...

Q: Find the greatest number which divides 110 to leave a remainder of 2 and the same number also divide...

A: According to the question, If we subtract 2 from both 110 and 62 then our required greatest number w...

Q: Test the series for convergence or divergence. 1 1 1 1 In(4) In(5) | - In(6) In(7) In(8) converges O...

A: The given series is 1ln 4-1ln 5+1ln 6-1ln 7+....

Q: next set of i, ii, iii questions:

A: Click to see the answer

Q: What happens to the curve on a graph for a function that has a negative phase shift and a negative v...

A: A negative phase shift indicates a movement of the curve on a graph to the right.

Q: Find the area of the region enclosed by f(x) and the x-axis for the given function over the specifie...

A: Click to see the answer

Q: Change the integral S L f(x, y, z)dz dy dx S S S s f(x, y, z)dx dz dy to

A: Consider the provided integral, ∫01∫0x2∫0yfx,y,zdzdydx Change the provided integral as a ∫∫∫fx,y,zdx...

Q: Find d^2y/dx^2 at (-1,-2) if 3x^3-2x^2+x = y^3+2y^2 +3y.

A: Given function is: 3x3-2x2+x=y3+2y2+3y Let us consider: y'=dydx ; y''=d2ydx2 Differentiating both si...

Q: the parametric equal a) Find the slope at t 2

A: a) To find the slope at t=2 b) To find the time t at the point (1,0) and find the equation of tangen...

Q: Finding area Determine the area of the shaded region in the following figures.

A: Area between two curves

Q: b. (D² – 4D + 4)y = e2x

A: problem is solved using CF and PI method

Q: Use Taylor’s Theorem to obtain an upper bound for the error of the approximation. Then calculate the...

A: Given: arcsin(0.4)=0.4+(0.4)32.3

Q: Evaluate the definite integral.

A: Click to see the answer

Q: Need help with grade 12 calculus homework question ASAP!

A: Definition of the velocity helps to find the required impact velocity. The path is modeled as h(t)=...

Transcribed Image Text

The following tables show some ordered pairs for functions f and g. f(x) g(x) -2 -2 -1 3 -1 - 2 -1 1 1 -3 3 3 2 3 Which of the following is the value of f(g(3))? 00 05 0-1 2. 2. 3. 2.