QUESTION 5 In a Pinochle deck, each of the four suits (hearts, diamonds, spades, and clubs) has two of each of the following cards: 9, 10, Jack, Queen, King, and Ace, for a total of 48 cards. If you select one card at random from the deck, what is the probability that you will select a Queen of Hearts (to the nearest thousandth)? O 0.021 O 0.042 O 0.019 O 0.167

Q: On each chord of 9x? + 16y? = 144 perpendicular to the x-axis is erected an isosceles right triangle...

A: Given: A chord is drawn perpendicular to the x-axis on the ellipse 9x2+16y2=144 with the ends of the...

Q: dx 6. dt 2 -2

A:

Q: Apply Gauss- seidal method to sulve the fotlowing fottowing Lineor Lineur equations 5 X-2 Xz -2X1+lo...

A: Let x1 = a, x2 = b, x3 = c So given equations are5a - 2b = 18-2a + 10b - 2c = -60-2b + 15c = 128

Q: Show that n := e2™i/n is a primitive nth root of unity in C. Verify that (S3 - )? = -3 in C. Verify ...

A:

Q: b) Find the Taylor series expansion about Zo=Ti for flz)=e%

A:

Q: A mortgage balance of $25,000 is to be repaid over a 10-year term by equal monthly payments at 5.6% ...

A:

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A:

Q: CONVERT THE GIVEN COMPLEX NUMBERS: 1. A = 6+7i POLAR FORM 2. B = 5230 → RECTANGULAR FORM 3. C = 15 –...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: Please show your solution clearly thank you L{e^4t-cos2t/t}

A:

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

A: Euler's method

Q: Q.1 Put the D.E ey"+2xy' + ây = 0, in self-adjoin form .

A: Given the differential equation e-xy"+2xy'+λy=0 we have to put the given differential equation in se...

Q: Consider the power series (2x + 3)" V2n2 + n – 1 - n=1

A:

Q: QUESTION 1 For all non-empty sets A,B,C,D, it AXB =CxD, then A = Cand B = D. True False

A:

Q: C. Given: ATAN ~ATKJ. 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ %3! K 2. TN = 5x -7cm,...

A: It is given that two  triangles ∆TAN ~ ∆TKJ  

Q: | 20 yd 80 yd 40 yd An athletic field is a 40 yd - by - 80 yd rectangle, with a semicircle at each o...

A:

Q: The value of the integral oIm(iz)dz, where C:| z|= 2, counterclockwise, is

A:

Q: 8. Consider the region bounded by y =- * , y = Vx, x=1. х

A: Let us consider the curve y=f(x) and y=g(x) The area under the curve y=f(x) and y=g(x) in the interv...

Q: Use Newton-Raphson Method to determine the root for the equation: S(z) = - tolerance is 0.00001. 4z ...

A: Follow the steps below to obtain the real root of the equation: f(x)=0 using Newton-Raphson method: ...

Q: Determine the solution set to the complex equation: z^2 - (8 - j5)z + (40 - j20) = 0 (hint: quadrati...

A: The complex equation is z2-8-j5z+40-j20=0 We have to find the solution of the above equation. Here, ...

Q: 3. Determine the half-range sine series for the function defined by: x. 0<x< f) =

A:

Q: DO NOT include spaces in between 17 characters. * In (In y)) at y = e. dy Compute Your answer

A: Given function is ln(ln y) we want to find the derivative of given function with respect to y.

Q: (a) Find the critical points of f on the given interval. (b) Determine the absolute extreme values o...

A:

Q: Let (x) = x*(x - 1). (a) Find the critical numbers of the function f. (Enter your answers from small...

A: It is given that ;                     fx = x4x-13   ................(I) (a) We have to find the cri...

Q: Activity 2: Let students to answer this activity in order to connect the next topic. Solve the first...

A: Properties of the derivative ddx(uv)=udvdx+vdudxddxxn=nxn-1ddxf(g(x))=f'(g(x)) ddxg(x)ddxsinx=cosxdd...

Q: 1. Use the e - ô definition of the limit to show the following: (a) lim(5x – 2) = 3 (b) lim VT = 0

A:

Q: i) Obtain the complete and singular integrals of = px +qy + p°q. -31 ii) Find the Laplace transform ...

A:

Q: Apply Gauss Seidal me thod to Sulve the fotlowing Lineor equations 5 X-2 Xz -2X1 + loXz-2X3=-60 =18 ...

A:

Q: Find lethere dae iS arde avnc

A: The solution is given below.

Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there i...

Q: 2. a) Evaluate xin(x) dx using the Trapezium rule with 4 ordinates. Complete the table by calculatin...

A:

Q: R-x, 0<x <A 0, Q7) Find the Fourier sine transform of f (x)= otherwise

A:

Q: Let A e Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q E Mnxn(R), a...

A: The singular value decomposition of a matrix can be explained as follows: Consider a matrix A of ord...

Q: . If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential...

A:

Q: Consider the system of linear equations below. Solve for E. 2A - B + 3C -D = 5 A + B - 2D +E = 0 -B ...

A:

Q: Matching Type: Match Column A with the correct answer on Column B. Write the letter of the correct a...

A: Given : To match the given statement with its   

Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

A:

Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) =

A:

Q: By solving the differential equation: 33 y = (x – 8)y' + (y')* It is obtained, as part of its singul...

A: We are given the following differential equation.           y=x-8y'+y'33 We further have that y(v)=α...

Q: 1. Evaluate the following integrals: dx V-x² + 4x – 3 f) . dx (x – 2)Vx² – 4x +3 -

A:

Q: Find the singular value decompostion of the matrix. 1 -1 1 -1 -1 1

A:

Q: Exerceise (6) Prove that Jy2 = 2 sinx

A:

Q: Find the effective rate of the compound interest rate or investment. (Round your answer to two decim...

A: Given:   Compunding period = 12 APR = 23% or 0.23

Q: DO NOT include spaces in between characters. x² - 4 ifx<2 Determine f#(2) if f(x)={2-x if 2<x<4. x-2...

A: We want to find f+'(2)

Q: ELEMENTARY APPLICATIONS OF DIFFERENTIAL EQUATION (DILLUTE AND MIXTURE) Lake Taal has a volume of 45...

A:

Q: 1. Determine for y(s) if y(0)=3, y'(0)=-2 and y"(0)=7 dy dy dy +5 + 6- =D0 dt dt3 dt2

A: We have given differential equation, d3ydt3 + 5d2ydt2 + 6dydt = 0  It's Auxiliary equation is given ...

Q: Which one is the unit normal vector of the plane spanned by Ä = 2î, – 6x, +2x, and B = 4x, + 3x, – î...

A: given vectors A→=2x^1-6x^2+2x^3 and B→=4x^1+3x^2-x^3 find the unit normal vector plane spanned by th...

Q: consider the points A(3,-3, 3), B(4, -5,1), C(-2,-4,1), D (6,3,-5) (a) Find the volume of the parall...

A: We have to find the volume of parallelepiped.

Q: EVALUATE and FIND THE REAL AND IMAGINARY PART OF THE GIVEN EQUATION. Given: A = 8 – 2i B = 4e¬i C = ...

A:

Q: The line l in R³ given by the Cartesian equations a + 5 y+2 z+2 2 3 can be written in parametric vec...

A:

Q: Find d2 87 Xe Ing

A: