................ Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by 0.4t-24(1-e-t/60 et 24e-t/60 - 16e-(t - 20)/60 ift > 20 if 0 sts 20 where C(t) is measured in milligrams per cubic centimeter (mg/cm³). (a) What is the initial concentration of the drug in the organ? mg/cm3 (b) What is the concentration of the drug in the organ after 11 sec? (Round your answer to three decimal places.) mg/cm3 (c) What is the concentration of the drug in the organ after 25 sec? (Round your answer to three decimal places.) mg/cm3

Q: Given D (4, 2) = 5, frz (4, 2) = -8, we know that (4,2) is a minimum we cannot tell maximum saddle…

A: Note :

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

A:

Q: What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y =…

A:

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

A:

Q: Use the zero or root feature of a graphing utility to approximate the zeros of f(x)= 2x³+8x² – 5x-7…

A: The objective of the question is find the roots (zeros) of the given function.

Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

A:

Q: Find by implicit differentation; Dthat the tangent to the eclipse x =1 at %3D Point (TorYo) is LoX…

A:

Q: Evaluate

A: As per the guidelines we can solve 3 parts only only. Please repost the same for more answers.

Q: dx V5+4x-x²

A:

Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: The cost of producing q units of good is C(q) 0.1q2 +3q+ 100 pesos. The firm can sell q units when…

A: This question can be solved using the concept of derivatives and rate of change of quantities.

Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j + tk; t = 2 (), T. %3D ||

A: r(t)=(2 cos(t), 2 sin(t), t)r'(t)=-2sin(t), 2cos(t), 1r'(t)=4+1 =5T(t)=r(t)r'(t)T(t)=15-2sin(t),…

Q: Find an equation of the tangent plane to the surface z = læ? + 2y² + 2x + 1y +3 at the point (2, 4,…

A:

Q: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

A:

Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

A:

Q: M. Vx? N. xe* O. 4 Р. cot x Q. cot?x R. 2 cot x

A:

Q: (Vx+4-3 if x # 5 Given: f(x) =: X-5 (к, d K so that f is continous at x = 5. if x = 5

A: We have to find out k value for which it is continuous

Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

A:

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

Q: correct position in the answer box. Release your mouse button when the item is place. If you change…

A:

Q: ) = (";')-G".) Show that: r-1,

A:

Q: A large company has installed new robotic equipment in its assembly areas. This new equipment…

A:

Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: The x-intercept of f(x)=V2x+4 is: O a. There is no x-intercept O b. (4,0) O c. None O d. (-2,0) O e.…

A:

Q: CSC* x dx cot² x

A:

Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1,…

A:

Q: ot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The win (a) Express…

A:

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

A:

Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

A:

Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

A:

Q: Use the summation formulas to rewrite the expression without the summation notation. 2j + 7 n2 j = 1…

A:

Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: Q3 A symmetrical parabolic segment y = 4x(2 -x) rotates around the x-axis as shown in the figure.…

A:

Q: 0.5 x° tan- (x2) dx –1

A:

Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

A:

Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: In a predator/prey model, the predator population is modeled by the function y = 800 cos(2t) + 6000…

A: y=800cos(2t)+6000(a) y'(t)=800×(-sin(2t))×2          =-1600sin(2t)      Suppose…

Q: Evaluate: (- Vy + + 10 )dx 10 5.) y4

A: Note: Since the student has made an typing error by writting "x" as integral variable but the…

Q: y =x, 4x + y =12

A: Let's find.

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

A:

Q: x =r' +1, y=r -t d'y d’y b) Find dx?

A: Given: x=t3+1 and y=t2-1

Q: 4. y = (8x*- 5x2 + 1)* 5. g(t) = -3V7t3 – 1

A:

Q: A particle travels along the r-axis such that its velocity is given by v(t) = t2 cos (3t + 2). What…

A:

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

A:

Q: 2.If f(x) and g(x) are continuous functions, then f[f(æ) + g(x)] da = S (x) dx + f g(æ) da. %3D O A.…

A:

Q: For each of the following, solve exactly for the variable z. (a) 1 -+-. 0.3 (b) - +- 0.5

A:

Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

A: