ng If C(t) = 62.5t e -0.19t , of a drug in a person's system t hours after the drug is administered, what is the peak concentration of the ml measures the concentration, in drug? The peak concentration is ng/ml. (Round to two decimal places.) -y Itit

Q: Find the derivative of y = 3sin2x A 6 sin x B 6cos2x с) 6sec2x

A:

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice. 

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

A: We have to find volume of revolution about x ax

Q: ly Find tue indefinive intgrel by making ful frebstitution x = 4sin O. de (16-x²) %

A:

Q: Question Select your answer. Find the equation of the tangent line of f(x) = x2 + 5x at x = 2. y = 1...

A: A detailed solution is given below

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

A:

Q: 1 у? sin y 2)lim y→∞ y + /2y3 –1

A: We can find the limit as below.

Q: By considering the real and imaginary parts of the product eiθ eiφ prove the standard formulae for c...

A: Given problem:- By considering the real and imaginary parts of the product eiθ eiφ prove the standar...

Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: I Find the second derivative(y") of the following functions and simplify the final results. 4. y = x...

A: 4 y = xcosx now fist derivative y' = x(cosx-1)cosx(-sinx) y' = (-1/2)sin2x x(cosx-1) now again diffe...

Q: 1. Evaluate the integral JS aA, where R is the region: {(x,y)|0 < x < 1, –3 < y< 3] x²+1

A: To evaluate the integral: ∫∫Rxy2x2+1dA where R is the region (x,y)|0≤x≤1,-3≤y≤3.

Q: Find the area under the given Cunves: D= 9-X From X = - 2 to X = 8

A:

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the inte...

A:

Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

A:

Q: 2 sin x –1 2. у 3D cosx+ 2

A: Topic = Derivative

Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

A: As per bartleby guidelines we only give first question answers. 

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A:

Q: Solve the differential equation y y' = - + sin sin ()

A:

Q: In the first derivative of a function is a constant then the function is LINEAR. A True B) False

A:

Q: Given cost and price (demand) functions C(g) = 120g + 44,000 and p(g) = - 2.1g + 890, what price max...

A: Given query is to find the price for maximum revenue.

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A: We have to find the solution set for the following equations using guass Jordon method.

Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Find the exact arc length of the curve y = 3x3/2 − 1 over the ineterval [0, 1]

A:

Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

A:

Q: IV. Exercises: Find y', y", y'", and y"" for the following expressions: 1. y = x* 2. y = 2x2 + 3x - ...

A:

Q: n=0 n!

A: This is series problem

Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: Show detailed solution for all. a) Provide the Maclaurin series expansion of f(x) In(3 – 2x) b) Find...

A:

Q: Sin/cos

A: Given query is to simplify the expression.

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

A:

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: Find the absolute maximum and minimum values of f(r, y) = r-3r-y+12y, closed region D, where D is th...

A: Given problem:-  Find the absolute maximum and minimum values of f(x, y) = x²-3x-y³+12y, on the clos...

Q: ) Find | sin can) cas (ga)da cos (gx) dx

A:

Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is rotat...

A:

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

A:

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: 8. Use the two-column proof table to simplify the given proposition. PV {¬(-Qv P) A-(-QVP) v (Q A¬P)...

A: Using table solve it. 

Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

A:

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

A:

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Product  Rule of differentiation: du.vdx = u.dvdx +dudx.v dcos(x)dx = -sin(x) dsin(x)dx = cos(x) dxn...

Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

A:

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: The arc length along the parabola y = x² from (1,1) to (2,4) is given by which of the following inte...

A: Let's find. 

Q: Give some examples of limits in real life situation (preferably in a persons life)

A:

Q: 00 (-1)+12" n² +3 Determine the interval of convergence of

A:

Q: 3. Determine the set of points at which the function is continuous. (a) F(x, y) = V1+x – y (b) G(x,y...

A: To find the sets where the function is continous. Note that, the function is continuous on a set whe...

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

A:

Q: 4. y = 2xi+x“

A:

Q: 2x = y + 2 2 2y = z + 2z = x + 2

A: Given that: 2x=y+2y   .............(1)2y=z+2z   .............(2)2z=x+2x   .............(3) We have t...