Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00

Q: If a cannonball is fired from a hillside 75 meters above ground with an initial velocity of 100…

A: Initial velocity = 100m/s  Fired from a hillside 75 m above ground Final velocity , v = 0

Q: If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

A: Given problem:- If f(x) = x2 + x and g(x) = x − 8, find f(g(x)) and g(f(x)).   f(g(x)) =   g(f(x)) =

Q: By the series test: n=1 n´ +6n+3 6.

A: To determine whether the given series converges or diverges.∑n=1∞5n2+6n+3

Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

A:

Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

A:

Q: Simplify

A: Answer is no solution.

Q: x- 1. a. Find the derivative of y =

A:

Q: what is of the waximal domain gla) = Inf2x)

A: Maximal domain is the largest set of real numbers for which the function is defined. The given…

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y2 + 6, Vf(4, 2) = eBook

A: A detailed solution is given below

Q: t sin(t² + 4) dt cos(t² + 4)

A: To evaluate: ∫tsint2+4cost2+4dt Let I = ∫tsint2+4cost2+4dt

Q: Find the gradient of the function at the given point. In(x? - y) - 3, (2, 3) Vz(2, 3) -

A: We have to find the gradient of the function z = lnx2-yx-3 at the point 2, 3.

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the…

A: This is a problem related to limit and continuity. Based on the given RHL and LHL we will plot the…

Q: 2y" – 3y +y –0 4y" – 9y – 0

A:

Q: r-3 = 3coso -6

A: Given that :.  r - 3 = 3cos(theta) First we change this polar equations in the form of Cartesian and…

Q: Españe Find an equation of the ellipse that has center (-1, 2), a minor axis of length 2, and a…

A:

Q: 1. f(x)= Jx + 8x– 24 |

A: As per Bartleby guideline, only the first question has been answered.  Please repost mentioning the…

Q: ) Consider the integral TTY sin dydx. orl o g roloi T tiv ane b onqua Aanitoom wtelole 211 Z08-11 a…

A:

Q: man holds a rope that leads a horse. The horse walks in a circular path as shown by the dashed line,…

A:

Q: 4 n+ 2 is divergent. n=1 1+6n Select one: O True O False

A:

Q: Let y = sin(2x). If Aa 0.3 at a 0, use linear approximation to estimate Ay Ay = Find the percentage…

A:

Q: tch the vector field with its graph. F(x, y) = yi y 事 5 -5- -6+ y 1信 I 5 5 -5+

A: Given  F(x,y)=yi Option (1) is correct by given graph

Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to? a.…

A: We have to choose correct option.

Q: Find the volume of the solid formed by revolving the region bounded by y = x – x and the x-axis (0 <…

A:

Q: 1 dx ((Va)² – 16 2 x² .

A:

Q: Find the values of constants a and b that make f continuous on (-o0, +o0) where 2x +1 if a 5 f(x) =…

A: Use definition of continuous function and find the value of a and b

Q: d'y If 4x2 + y = 40 then evaluate when = 3 and y = 2. (Answer accurate to two decimal places.)

A: Topic = Derivative

Q: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1 – y² and æ =…

A: Let's find.

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

A:

Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

A:

Q: A fence is to be used to entirely enclose a rectangular plot of land with an area at 1600 ft.² It…

A: To show that a 40ft by 40ft rectangle will require the least amount of fencing to enclose the given…

Q: 5

A:

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A:

Q: ANSWER

A: We have to calculate the given indefinite integral according to the given information

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

A:

Q: x²-x dx 1+3x²-2x³ 2-2x3

A: Given problem:-

Q: (- 1)" Σ n =1 n 3+5 8.

A:

Q: Rojana is 8 years older than AJ, and the sum of their ages is less than 24. Find their possible…

A: We will find the possible age of Rojana and AJ in the following step.

Q: Part 1: Let h be the height of AWXY. Find the length of the corresponding base. | cm 14 cm Part 2:…

A: Part 1  as h is height  base is WY length of base = 14 cm

Q: Find the limit. lim (t i – 6 j + r² k) lim (1 i- 6 j+? k) = i i+ i j+

A:

Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: Item # 6. 15 pts Suppose that a population of bacteria for an experiment increases according to the…

A:

Q: Simplify tan(arccot0).   undefined 0 pi/2

A: Topic = Trigonometry

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

A:

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: The following figure shows the graphs of y = f(æ) and y = g(x), together with the %3D indicated…

A: Given problem:-

Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: This is a problem related to inequalities. Based on the graph of both linear equation we can…

Q: f(x) = = hen -6x I+3 f'(3) =?. (Answer accurate to 2 docimal

A: Given f(x)=-6xx+3f'(x)=ddx-6xx+3…