B) Find the number of bacteria after 5.5 hours.

Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

A:

Q: Verify Green's Theorem by evaluating both integrals Lv = / an_ aM dA dx + x² dy * ax ay for the…

A: Given problem:-

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: please

A:

Q: The reverse order of J Só 3xe dydx is equal to 2(e - 1) е - 2 -e

A: After changing the order of integration, solve it.

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A:

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: x+2x2-3x x²+4x+3 2) Evaluate lim -6-1. x→ -3 Show every step.

A: We can solve this as follows:

Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

A:

Q: Given yz = ln(x+ z), find dz and dz fie

A: As we know that; The Power law; ddxxn=nxn-1 The Chain rule; fgx'=f'gx·g'x And c·f'=c·f' ; where c is…

Q: Suppose that , g(t) dt = v2 g(t) dt 1. g(u) du 2.

A:

Q: Ginen the point P=(x,y) m @ - (a) find the distance ra/x²+y? the origin O = (0,0) to amol simplify r…

A: See the answer below

Q: Select the conic section represented by the equation. y 2 - x = 0 line parabola hyperbola circle…

A:

Q: Select the conic section represented by the equation. 3x 2 + 2x - 5y + 7 = 0 line hyperbola circle…

A:

Q: r(t) = cos(nt)i – In(t)j+ vt – 16k; to = 17 | -

A: Given :

Q: 6 Select the conic section represented by the equation. 5x 2 + 5y 2 = 0 point hyperbola  line…

A:

Q: Region bounded by: y=1/2x, x=2, x=4. y=0 Rotate about x-axis. Find the area

A:

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A:

Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: X-1 y-3 Given that L: k and M: 4x + ky – 3 = 0 then find the value(s) 16 of k such that the two…

A:

Q: 3-A coin is tossed 3 times the probability that all 3 tosses are tail equal a) b); c); d) 9.

A: Our Aim is to calculate the probability of flipping a coin three times andgettiing 3 tails.

Q: Find the differential dy of the given function. y = V3- x² dy

A:

Q: 1. Jx cos 3x dx Sx² cos x dx 2.

A:

Q: Find the sum A+B+C of the constants A,B and C appearing in the Taylor series expansion given below:…

A:

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: dr

A:

Q: The given matrix is an absorbing stochastic matrix in standard form. Idently R and S and compute the…

A:

Q: Graph the function and find its average value over the given interval. h(x) = x² – 1 on [0, V3] -

A: The given function,  h(x)=x2-1 on 0,3

Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

A:

Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

A:

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: Newton's Method will fail to approximate the solution to f(r) O with initial guess To when: O f(x)…

A: We have to choose correct option.

Q: What is wrong with the equation? -5 15 dx = -4 64 -2 f(x) = x-5 is not continuous at x = -2, so FTC2…

A:

Q: Find the nth derivative of y = In(16x2 – 9).

A:

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

A:

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

A:

Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

A:

Q: 10 Find the radius of x 2 + y 2 - 10x - 8y + 1 = 0. √41 2√10

A:

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A:

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: Q1- A coin throw three times find: 1. Sample space 2. Probability at least head appear twice 3.Never…

A:

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: Identify if the following three forces F, F2and F3 forms a state of equilibrium or not. Their…

A:

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

A:

Q: 2.46 Let Q(x) = Vr. Prove that the function Q is uniformly continuous on [0, o). (Hint: See Exercise…

A: We have to show the function Qx = x is uniformly continuous on [0, ∞) The function Q is said to be…

Q: Find the arc length of the parametric curve. x = 24 cos(t), y = 24 sin(t), z = 7t; 0<t< T L =|25

A:

Q: A rectangular solid (with a square base) has a surface area of 37.5 square centimeters. Find the…

A: We are given a rectangular solid with square base whose surface area is 37.5cm2. We have to find…

Q: Find dy/dx: 1. у%3D Jo = San* sec? t dt

A: A detailed solution is given below