Find real numbers a and b such that the equation is true. a + bi = 2+6i a = 3,6 = 2 a = 5,6 = 9 a = 6,6 = 10 a = 2,6 = 6 a = 4,6 = 8

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: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

A:

Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

A:

Q: The critical point of the function f(x) = a – 6x? + 16x + 13 is - (1, –4) (-2,4) (2,4) (-2, –4)

A:

Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

A:

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: Se° cosh@de

A: We have to find the integral

Q: A child flies a kite at a height of 80 ft, the wind carrying the kite horizontally away from the…

A: Solved below

Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: the

A:

Q: dx V4-9x2

A:

Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

A:

Q: | 4x sech x2 tanh x2 dx A) - 2 sech x² + C (в) 2 B sech x2 + C sech x2 +C C 2x D) 4 csch x2 + C

A:

Q: Given the differential equation and its initial conditions y" + 7y' + 12y = 8 with y(0) = -2 and…

A:

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

A:

Q: cos 0 (4) Evaluate the iterated integral /A scos 3r2 sin 0 dr d0.

A:

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

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

A:

Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

A:

Q: Given the function Y(0) = S4 Use the Laplace Transform table to convert this function into f(t).

A:

Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

A:

Q: dx J (x² + 2x – 10)²

A:

Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

A:

Q: S(Võ +) 1 do

A:

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector function is the intersection of domain of its components.

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A:

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

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

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

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the…

A: Refrence Example: System of equations into augmented matrix

Q: Consider the transfer function: Y(s) s+2V3 H(s) X(s) s2+2s+8 What will be the stationary response…

A:

Q: Find the solution. y'+=V5.y(1) = 0

A:

Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

A:

Q: An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting…

A:

Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – 5 in [-1,4] is: -4.5,…

A: Find your answer below

Q: Find the equation of the following hyperbola. Express your answer in standard form. Enable Zoom/Pan…

A:

Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A: Given: Biologists stocked a lake with 240 fish. The carrying capacity (the maximal population for…

Q: x In y dy dx -1J

A:

Q: Find the domain and range of the function g(x, y) = 8\/- 9y + 27x². %3D Indicate the domain of g in…

A:

Q: 2y +1 e'y 1+ y? dy dy = t*y dy 4. dt 2. 3. %3D dt dt t

A: See the answer below

Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

A:

Q: Choose the point which shows the correct location for the polar coordinate (2, 120°). 90° WIN 135°…

A: Given

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: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

A:

Q: Find f. f "(t) = 2e + 6 sin(t), f(0) = 0, f(x) = 0 %3D %3D f(t) %3D

A: We can solve the given problem as follows: