A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many bacteria are there after 40 minutes? (d) Graph the population function and estimate the time for the population to reach 100.000.

Q: Given: c= 8, a = 5, C = 67° C b A B C Solve the triangle. (Do not round until the final answer.…

A:

Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

A:

Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

A:

Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: 2- Explain why the following linear systems are positive definite, then solve them using the…

A: answer is in next step

Q: Find all solutions to the differential equation. Use c to denote an arbitrary constant. y' = x ln(x)…

A:

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

A:

Q: Solve integration by (udv x cos(x) dx

A: The integration of the integral is xcos(nx) limit 0 to pi/2. Repost the next question.

Q: 18. Find the partial sum. Σ128(4) n=1

A: Given problem:-

Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

A: the complex number ..

Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

A:

Q: A ladder 42 feet in length rests against a vertical wall. The foot of the ladder is 7 feet from the…

A: We want to find the correct answer.

Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

A:

Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: A fabric wholesaler, The Dynamic has fixed the cost of $3,200 and a production cost of $12 for each…

A: Given  let number of bundle = x fixed cost = $3200 and $12 each bundle    a.

Q: wing using properties from the class notes (do not assume any particular vectors for u and v). Show…

A: We have to find out projection

Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

A:

Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

A:

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: dx x √16-x² dx

A: To find out the integration.

Q: [10x3, x<-2 5-x, x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→-2+ 3. lim f(x): = 2-2 =

A:

Q: A thermometer reading 75°F is taken out where the temperature is 20°F. The reading is 30°F 4 minutes…

A:

Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

A:

Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

A:

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

A:

Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

A:

Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

A:

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A:

Q: a body at a temperature of 50°F is placed in an oven whose temperature is kept at 150°F. If after 10…

A: We can use differential equation or Newton law of cooling to solve the problem

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

A:

Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = Find the differential dy when x =…

A: We have to find out the differential

Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

A:

Q: 5. Let f(x) is even and g(x) is an odd function which satisfies x²f(x) - 2f f(1) + f(2) + f(3) +…

A:

Q: See

A:

Q: Solution: Here f(t) = 24,0 < + <l 0,1 < t <2 Here period of f is 2L = 2 L = 1 ". The Complex Fourier…

A: Given problem:-

Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

A:

Q: Matrixes: find k by determinant K-3 0 1 A = 1 K-3 0 0 1 K-3

A: We have to find K by determinant.

Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

A:

Q: N IS. Use the graph to answer the following questions. (a) Over which intervals is the function…

A:

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

A:

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A: This question can be solved using the concept of height and distance.

Q: John Jones just paid $3,202.50 for a lawn mower/tractor. If the percent markup based on cost is 83%,…

A: topic - percentage

Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

A:

Q: Use the theorems to evaluate the limit. lim x³ x → 2

A: