2 sin (x) dz 4 cos? (x) + 2 cos (x)

Q: sin 2 x + sin x + cos 2 x - 1 = _______ tan x cot x sin x cos x

A: We can solve it as below.

Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,     ...

A:

Q: If u; and > Vk are convergent series, then > (ux + vk) and (uk – vk) are convergent series and the s...

A:

Q: Use any method to determine whether the series converge. 1. (a) 19k k=1 The series 00 1 (b) 19 + 1 k...

A:

Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

Q: Pls help ASAP. Pls show all work and calcualtions. And pls show each and every step.

A: To find out the derivative of the function.   

Q: Find the critical numbers of the function f(x) = 6x5 + 15x – 10x3 +4 and classify them using a graph...

A: The objective is to find the critical numbers of the function and classify them using a graph.

Q: Immediately following an injection, the concentration of a drug in the bloodstream is 200 milligrams...

A:

Q: Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x - 0,...

A: Here, given that a function has a vertical asymptote x=0. So, the function does not touch or cross t...

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A:

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

A: We need to find the differential equation of the family of curves described below: All tangent lines...

Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

A:

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Topic = Derivative

Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

Q: Evaluate the limit of the function given the graph of the function. Considered the graph of Function...

A:

Q: Let f(x) = V1 – x and g(x) = . Determine the following composition and its domain. f•g

A:

Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

A:

Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.

Q: x 2 Graph of f The function fis continuous for -4 <x54. The graph off shown above consists of five l...

A:

Q: f(x) = {2 – 4x, if x 2 -

A:

Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

A:

Q: ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval...

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A:

Q: Find the derivative of the function. y = cot?(sin(0)) y' =

A:

Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A: A function f(x) is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) = f(a).

Q: Consider the function f(x) 4- 7x", - 3 <¤ < 2. The absolute maximum value is and this occurs at c = ...

A:

Q: An+1 Use the ratio to determine if the sequence { ne" }, +o is strictly increasing or strictly decre...

A:

Q: A straight metal beam leans against a building so that the angle between the ground and the metal be...

A: Given query is to find the length of the beam.

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A: Let's find. 

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: Consider the function: f(x) = {x2,      x ≤ 2          {4,        2 4 (a) Sketch the graph of f(x...

A:

Q: Find the maximum and minimum values of the function g(0) 30 6 sin(0) on the interval Minimum value =...

A:

Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,...

A: Topic:- application of integration

Q: The height (feet) of a ball launched in the airt seconds after it is launched is given by: f(t) = - ...

A:

Q: Here is a graph of the function f. 4+ -3+

A:

Q: The volume of a solid bounded by surfaces: z = 0,y=0,z=a² – x² ,y=2x,x +y=a |

A:

Q: (b) f(x) — (х + 2x*)", а %3 —1

A:

Q: Squeeze Theorem to evaluate lim x→0+ x [1 − cos (1/x)]

A:

Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

A:

Q: For the given composite function, identify the inner function, u = g(x), and the outer function, y =...

A:

Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...

A:

Q: Given cost and price (demand) functions C(q) = 100q + 44,700 and p(g) = - 1.9q + 850, what is the ma...

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue funct...

Q: Find the position vector v that corresponds to the vector graphed below. Note that each box in the g...

A: Given the query is find the component form of vector.

Q: Find the derivative of the function. 1- e2x 1+ e2x y = cos y' = Need Help? Read It Watch It

A:

Q: Find the general solution of y"- 10y'+ 25y - 0 Oy= Ce- + C2ze* Oy - Ce + Cwela Oy- Ce a + C,ze be Oy...

A: Given,y'' -10 y' + 25y = 0     .......1this is homogeneous equation.Since,y" = D2yy'=DySo putting in...

Q: The function f(x) 2.r 39x+240z + 6 has one local minimum and one local maximum. Use a graph of the f...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Jcot x+1 O tan x sec x O csc X

A: Simplifying the given expression

Q: Solve the equation (x + 3y)dx - xdy 0 %3D O y? = 5x4 + cx3 O y = x5 +cx3 O 2y = x5 + cx3 %3D O 2y = ...

A:

Q: 14. Find the linearization, L(x,y,z) of the function f(x, y, z) = x³/y2 + z² at the pointP,(2,3,4). ...

A: Given that        f(x,y,z) = x3√(y2+z2) 

Q: The function y, = e¬3t is a solution to y" – 3y' – 18y = 0. This second-order ODE can be reduced to ...

A: