f C(t) = 55t e - 0.2t measures the concentration, in ng of a drug in a person's system t hours after the drug is administered, what is the peak concentration of the ml drug? ng/ml. (Round to two decimal places.) The peak concentration is SF tit

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: 2 dx х3.4 а. x2.2

A: ∫1x2.2-2x3.4dx∫x-2.2dx-2∫x-3.4dxFormula: ∫xndx=xn+1n+1+C

Q: By substitution u = x² + 5x, the definite integral (2x + 5) In (x + 5x) dx becomes Select one: O Non...

A:

Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: Consider f(x)=ax+xln(bx)f(x)=ax+xln⁡(bx) for a>0a>0, b>1b>1, and x>1x>1. Find f′(x)f′(x): f′(x)=f′(...

A: f'(x)=a+1+logbx Increasing 

Q: Evaluate the given integrals. ex dx 7. e 2x+2ex+1

A:

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,988 yd of fencing with which to encl...

A: let length of longer side of rectangular land be  L yardslet length of shorter side of rectangular l...

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (г) — 5x — 4 2. f (x) = 4...

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Q: P where E is voltage and R is resistance. Approximate the maximum percent error in calculating power...

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Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

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Q: Draw a line to show how the white can escape from check ,don’t forget:move ,block or capture

A: In this question we have to find how white can escape from check.

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 calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Prove that 3x +8 Viv = dr dy: %3D where R [-1,1] x [0, 2).

A:

Q: Using f(x) = In(3 – 2x), what is its f(n) (x)

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Q: Q1) Solve the following system of linear equations: [ 3x-2y32-z 02) Find the largest possible area o...

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Q: esecx+lntanx -dp- 9. cos x

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Q: By the fests. 2. a³y = x²(2a² – x²)

A:

Q: xy²y' = y + 1; y(3e²) = 2

A: Given that a differential equations and we solve this differential equation by using saparation meth...

Q: y' - y = 2x? 3

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next ti...

Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: X sin? - cos 2 2. -dx 2

A: Yes. This problem can be solved using Wallis formula.

Q: Evaluate the following integrals |(6V - x-3)°dx

A: The integration of the integral is (6√x - x-3)2

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Derivative of T Determine the derivative of 1. y = 100 cos 3x 2. y = 5 tan (6x - 1) 3. y = 12 cot (-...

A:

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: 2 dx tan x(5+ln sin x)

A:

Q: f(x) = x* – 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all c...

A:

Q: SHOW YOUR SOLUTIONS. I. Eliminate the arbitrary constants. 3. x = c, cos wt + c2 sin wt ,w is a para...

A: topic - differential equations

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

A: To find: The Maclaurin series expansion of f(x)=ln(3-2x). Concept used: The Maclaurin series can be ...

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

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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: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: Given the systems of ODE below with given conditions x(0) = 1 and y(0) = 2. dy + 2x dt dx et, 2y = 1...

A: First we find value of y in equation 2nd and put in equation 1st .  Follow step 2,3 . 

Q: To evaluate the integral / V16 – x² dx, we use Select one: O x = 4 sec 0 O x = 4 sin 0 O x = 3 sin 0...

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Q: Find the area Aof the region R bounded bounded the graphs of y2 − 4x = 0 and 2x − y − 4 = 0.

A: Given,           y2-4x=0 and 2x-y-4=0To find : Find the area, A of the region R bounded bounded the ...

Q: (a) f(x)= Jx-6 (b) g(x)= /7-x (c) h(x)=V1-x²

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: +o0 (-1)" n (a) ► n! n=1 1 (b) E -3 n - -n n=1

A: Find the limit of the given functions at infinity

Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

A:

Q: Determine whether the given series is convergent or divergent. Justify your answers. +0 +00 (2n)! (c...

A: ACCORDING TO BARTLEBY GUIDELINES, WE ANSWERED ONLY ONE QUESTION.  

Q: The point P has coordinates (-1, 4, 11) and the line / has equation r = (i) Find the perpendicular d...

A: The perpendicular distance, ?,between a point ?(?,?,?) and a line with direction vector d→ is given ...

Q: 8. Use the image below to answer the following. Show your work, but you may use technology to calcul...

A: The centroid of a region R is given by x, y=MyM, MxM, where we have M=∬RdA; My=∬Rx dA and Mx=∬Ry dA ...

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8 ...

A:

Q: 12x e-y with x 20 and an initia. Solve the initial value problem condition y(0) = 1.

A: Topic = Differential eqaution

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

A:

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

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

A:

Q: 4. Given xo < x, and x, define x - xo X1 - X0 and let P1(x) interpolate the function f(x) at the poi...

A: