The probability of hitting a target by three marksmen A, B 1 1 1 and Care and , respectively. Find the probability that 2'3 4 one and only one of them will hit the target when they fire simultaneously

Q: Find the APR (rounded to the nearest tenth of a percent) for the loan described below. Purchased a…

A:

Q: Without expanding the determinants, 103 115 114 113 116 111 108 106 + 108 106 104 113 116 115 114…

A:

Q: An employee takes out $291 from their paycheck each month for 11 years and deposits it into an…

A:

Q: Given magnitudes w, x, y, z, Euclid defines w: x <y: z as: there are natural numbers and n such that…

A:

Q: 3. A region in the first octant is bounded by the cylinder x² + z² = 4 and the plane y = 3. Set up…

A: ∫∫∫dxdydz=∫02∫03∫04-z2dxdydz=∫02∫034-z2dydz=∫02y034-z2dz=3∫024-z2dz=32z4-z2+4sin-1z202…

Q: Question 28 Graph the equation y = 2 on your paper. Clearly label at least 3 points on the graph.…

A:

Q: Which of the following are group homomoprhisms? (i): : Z₂ → Z2, x + x² (mod 2). (ii): o: Z→ Z₂, x²…

A:

Q: 6. Let R to be the region bounded by y-axis, a curve y = 2², and a line y = L. (a) (**) Find a, b,…

A:

Q: Fibonacci Numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... Define the Fibonacci sequence {f}…

A:

Q: Consider the following functions f(x) = sin(x) and g(x) = /8 cos(x). (a) Determine the linearization…

A: Linear approximation of the function  y = f(x) at x= a can be written as  L(x) = f(a) + f '(a) ( x-a…

Q: Re-express the exponential function y = 100*0.097t as y = 100bt. What is the value of b? Round your…

A:

Q: 4. Compute the volume of the region in the first octant bounded by the coordinate planes, the plane…

A: The given problem is to find the volume of the region in first octant bounded by the coordinate…

Q: Use Fermat's theorem to prove that if (n, 23) = 1, then 23l 110-1. Use Fermat's theorem to prove…

A: The given problem is to prove the following identities using fermat's theorem and it's properties.

Q: SOLVE THE FOLLOWING ODE STEP BY STEP IN DIGITAL FORMAT PLEASE dy dt y sin³ t

A:

Q: 6. A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

A: Solution :    Consider              x is  length and y is width of a rectangular bird sanctuary…

Q: Let f: C C be defined by f(z) = z² and let L₁ be a line parallel to the x-axis and L₂ b another line…

A: 1. Consider the given function, fz=z2 Let us consider that, w=fz=z2 such that z=x=iy, w=u+iv. So, we…

Q: (1 point) Calculate dif where r is variable, and R and V are constant. dP dr P V²R (R+r)²¹

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: For Problems 11-14, determine orthogonal bases for rowspace(A) and colspace(A). 11. A = 12. A = 13.…

A: Given A=3141-21152. Applying row operations: Apply R1→R13: 11/34/31-21152 Apply R2→R2-R1 , R3→R3-R1:…

Q: d²y 1²2-5x + 5y = 2sin²2x - x² - 5 4. Write the general solution of the differential equation dx

A: Given Differential equation is d2ydx2-5dydx+5y=2sin22x-x2-5d2ydx2-5dydx+5y=-5-x2+(1-cos4x)Since…

Q: A person has undertaken a construction job. The probabilities are 0.80 that there will be a strike,…

A:

Q: Calculate ru x rv. i COS V -u sin v = sin vi- cos vj + uk ru x r₂ = det j sin v u cos v k 0 1

A: When partial derivative is performed with respect to a specific variable, then all other variables…

Q: In questions 6 through 10, determine if the alternating series is convergent or divergent. Which…

A: We are given the series  ∑n=1∞(-1)n-1n2n+3 And the series  ∑n=1∞(-1)narctan(n) We have to check if…

Q: Find a general solution of each reducible second-order differ- ential equation yy" = 3(y')2

A:

Q: A ferris wheel is 30 meters in diameter and boarded from a platform that is 5 meters above the…

A:

Q: Suppose that f(x, y) : = Y 1 + x at which {(x, y) | 0 ≤ x ≤ 1, - x≤ y ≤ √x}. a Then the double…

A:

Q: Solve by the Newton–Raphson method the simultaneous, nonlinear equationsfor x1 and x2 to within…

A: As per the question we are given a system of nonlinear equations in variables x1 → x , x2 → y as :…

Q: Find In (6) In (4) 2 - 3y dydx - x - 3y e

A:

Q: h y=hx b- a y = (h)(x-b)

A:

Q: Here, assume that S has the same orientation as defined by the positive orientatio of the ellipsoid.…

A: (b) Given ellipsoid 4x2+y2+9z2=37 , y≥1 Let Fx,y,z=y, lny+z2sinxy, -x Claim: compute ∫∫ScurlF·n dS…

Q: For each of the following function. determine the set of points at which it is 0 differentiable…

A:

Q: Show that m > (2). m! = (2″ − 1)(2″ − 2) (2¹ – 2²)... (2¹ — 2n-1). -

A: The given problem is to show the following condition m&gt; nC2 for the given inequality.

Q: Find the volume of the solid bounded below by the region R in the Y-plane between the y-axis and the…

A: Given : parabola:x=y2-16, surface : z=16+x-y2 To find : Volume of solid.

Q: Tim Houston purchased a wall unit for $2,400. He made a $600 down payment and financed the balance…

A: APR Formula: APR stands for Annual Percentage Rate. The formula to calculate the annual percentage…

Q: (a) Find the stabilizer of: 2 (13) ← M₂ (R) under left multiplication action of GL₂ (R) on M₂ (R).

A:

Q: x = r cos 0 y=rsin 0 p² = x² + y² B ₂(0) ff [[ f(x,y) dA = ["hd" f(r cos 0,r sin 0) r dr dº S a 1(0)…

A: R1 is the region for first integral  R2 is the region for second integral  R1 U R2 is the region of…

Q: For any prime p, show that there are no homomorphisms between F 2 and F 3 field P p in either…

A:

Q: A box contains 10 mangoes out of which 4 are rotten. Two mangoes are taken out together. If one of…

A: ​

Q: Solve the Attached problem.

A: We need to find the general solution of the system, x'=940-6-10643x. Compare this with x'Ax. Here…

Q: he table below shows the educational attainment of a country's population, aged 25 and over. Use the…

A: We have to find the probability that a randomly selected citizen, aged 25 or over, was a man with 4…

Q: Question #8 For polynomial P(x)=x²-3x²-4, please do the following. a) list all potential rational…

A:

Q: 1) Solve the initial-value problem xy² dx = y³ – x³ with y(1)=2. dx

A:

Q: 7. Let f(z) be the principal branch of z-i. (a) Write f(z) explicitly and calculate f(i). (b) For…

A:

Q: Translate into predicate logic and show the logical computation of the negation of the statement: No…

A:

Q: if x1  + x2  + x3 +x4  x5 +x6= 82 and xi >= 3  and 1<= i <= 6   find combinations with repetition of…

A: The number of integer solution vectors to the equation  ∑k=1nxk=t , for each xk≥a the number of…

Q: Write z₁ and z2 in polar form. Z1 = Z2 = Z1 Find the product Z₁Z2 and the quotients and Z2 Z1 Z1Z2 =…

A:

Q: : Gabriel's Horn is defined to be the region obtained by rotating the region below the graph of f(x)…

A: Using disc method for calculating the volume. Using ratio test to test the divergence of the…

Q: Which answer below best describes a relation on a set X? 0000 A relation is a A relation is a A…

A: Definition of relation on a set X.

Q: Determine if the function is a power function. If it is, then state the power and constant of…

A:

Q: 1. Let f(x) = 1 4-2² a) Find a power series representation for f(r) and indicate its interval of…

A: