2.1) Choose the correct answer for the following: has: a) 3rd order and 2nd degree c) 2nd order and 3rd degree For the complex numbers Z₁= 3+3i and Z₂=3-4i, modulus of Z₁+Z2 a) 6-i b) √37 b) 6+7i d) 37 b) 5th order and 3rd degree d) Non of the above

Q: 3 a) Find the exact integer value of a for which tsin (at)dt == ft sin (xt) dt = -². where a1. T

A:

Q: dN (t) dt = g(N(t)) = a · N(t) · ( 1 · (1-N()) 9 M N (0) = No > 0,

A: We have to find the logistic curve .

Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: We know that derivatives of xn is nxn-1. And d(tan-1x)/dx = 1/(1+x2).   Here i attached the solution…

Q: 2. A cylindrical tank of radius 20 feet is being filled with water at the rate of 600 cubic feet per…

A: Given that,  Radius of cylindrical tank= 20 feet Water is filled at a rate of 600 cubic feet per…

Q: Js sin 4x cos2x dx

A:

Q: SHOW FULL SOLUTION. DIFFERENTIAL CALCULUS. To measure the area of a quadrangle, two students decided…

A: The objective of the question is evaluate the distance between A and B.

Q: Find a particular solution yp of the following equation. Primes denote the derivatives with respect…

A:

Q: Let f'(z)= 8cosx-7sind 2 f'() = 0 f(x) = 8 sin x + 7 cos x

A:

Q: ринд (((-15)75] Thin 256 - уч 니 e ठेपण

A: We have to find value of given Integral.

Q: To which of the following scenarios could the equation dT dt -k(T- with solution T(t) = 25+ 35€ k> 0…

A:

Q: Express the polynomial f(x)=3-12x + 21x² 16x³ + 5x4 4 f(x) = Σbi(r - 1). i=0 in the form

A:

Q: find y dy dx 2x-1 x-3 for the following functions b) y = x³e-x

A:

Q: Q5. Find the angle between the vectors u=2i+j, v=i+2j-k. And uxv

A: Please see the below picture for detailed solution.

Q: Problem 10. Find the interval where f is increasing or decreasing, and find the loca maximum and…

A: Given problem:- Find the interval where f is increasing or decreasing, and find the local maximum…

Q: Q3) Use double integration to find the area of the shaded region between the y-axis and the curve x…

A:

Q: 7 Find (x³ +2x) dx S. x²+4 None of the Above √√√√x² + 4(x³ - 2) + C √√√x² + 4(x² − 2) + C - O√√²-4…

A:

Q: = f(x, y) = { x² + y² 0 Determine whether the function z = (why or why not) for (x, y) = (0,0) for…

A:

Q: For the next two exercises, use the Ratio Test to determine if each series converges or diverges.…

A:

Q: Carlos invested $70,000.00 for 5 years at 8.50% compounded monthly. Calculate the future value of…

A:

Q: nπ X

A:

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: Exercise: Find unit vector perpendicular to the F .P(1.1.1). Q(2.1.3). R (0.2.1) and find area of…

A:

Q: Define the following sets: A = {1,3,7,9,10) B = {2,5,7,8,9,10) C = (0,1,3,10) D=(2,4,6,8,10) E = {x:…

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: Given: dydt+30y=48,  y=85-85e-30tTo Find: we need to verify the solution.

Q: Consider the following graph y = p(x) and answer the questions which follow. P 3+ 3 -3 & -3+ a.…

A: topic- limits and derivatives of a function

Q: Find the roots of the differential equation: y"+4y' + 6y = 0

A:

Q: imber Inc. invested profits of $225,000.00 in a GIC at 5.62% compounded semi- annually. How long…

A:

Q: Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent.

A: SOLUTION-

Q: OA = (3,4-1) OB = (2,0,1) AB

A:

Q: Recor Numerical Response # inverse of this function box. Record the value

A: Range of original function is the domain of its inverse function.   Given function

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given problem:- Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an…

Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: the area of the region between the x-axis and the graph of the functionshern X = 2 X=1 below and the…

A:

Q: For f (x) = x2 −2x + 5, find its derivative by using the formal (limit) definition of the derivative

A: We have to find derivative using definition

Q: 2x+1 x²-7dx 1

A:

Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

A:

Q: [sin(√5x+1)dx

A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: Cameron invested $2,890 for 225 days at a simple interest rate of 3.75% p.a. How much more or less…

A:

Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

A:

Q: Find the following. f(x)=√x216, g(x) = x² x² + 1 (a) (f+g)(x) = X (b) (f- g)(x) = (c) (fg)(x) = (d)…

A:

Q: Consider the following matrices: 2 A = [23] 24 B = -1 -⠀ -⠀ C = 0 3 2 Perform the following…

A:

Q: The Value of the integration for the below function shown is : sec²2xdx

A: We can solve the given problem as follows:

Q: Jason acquired a $10,000.00, 91-day, Province of Alberta T-bill on its date of issue for a price of…

A: Given problem:- Jason acquired a $10,000.00, 91-day, Province of Alberta T-bill on its date of issue…

Q: Find by double integration the area of the region in xy, plane bounded by the curves y = x2 and y =…

A: Using vertical strip

Q: Determine L-1. 2s² +10s (2s²-20s+58) (s+1)

A:

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)]…

A: We have to verify that A =12B×r is a vector potential, where r = x,y,0     Given that B = 0,0,b…

Q: 3. A factory selling phones has a marginal function C(x) = 0.01x²-3x+229, where x represents the…

A:

Q: Evaluate each indefinite integral. 1. (6x² + 14x - 5) dx

A: Given  ∫(6x²+14x-5)dx  =∫6x²dx+∫14xdx-∫5dx =6x³/3 +14x²/2-5x =2x³+7x²-5x

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: Here we have to use Euler's method to obtain the four-decimal approximation of the indicated value.…

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

A: