1. What is the sum of the probabilities in any probability distribution? С. 1 d. 2 a. b. infinite O 10:22

Q: Franscisca has 40 books in her bookcase. That is 32% of the books in the bookcase. How many books…

A: The solution is given below

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Q: Find the function for a parabolic arch that has a base length of 24 feet and a height of 36 feet.

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Q: B. Find the area of the region bounded by the following: 17. r=3sin 40

A: Here we can use the formula for the area of polar curve which is given as follows A=∫∫A r dr dθ

Q: operation

A: Dot product of two vectors and distributive property

Q: Find all possible homomorphisms form Z10 → Z4. Then find the kernel of each of these homomorphisms.

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Q: Prove by contraposition that if x^5 + 7x^3 + 5x >= x^4 + x^2 +8, then x >= 0

A: Proof using contraposition: If we want to prove "if A, then B", then using contrapositive statement…

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Q: A)Determine the value of (-9+j 6) , expressing the result in polar, exponential and rectangular…

A: A) Consider the given complex number, -9+j65 Here we need to find the value of the complex number.…

Q: 29-35 REAL INTEGRALS Evaluate by the methods of this chapter (showing the details): de 29. 25 - 24…

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Q: H.W: Determine the series converges or diverges: >- n+1 n=1

A: Given series is ∑n=1∞nn+1

Q: Let W = Lin and U= Lin 2 (a) Show that R' = W U. Explain.

A: Note:- As per our guidelines, we can answer the first part of this problem as all the parts are…

Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x2…

A: The double integral is given as  I=∫ab∫f(x)g(x)dydx or I=∫ab∫f(y)g(y)dxdy   Double integral is used…

Q: Clairaut's Theorem Let DC R?be a disk containing the origin and assume that g: D R is a function…

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Q: A and B are two cities. N x B a) Measure the bearing of B from A. Ах b) Measure the bearing of A…

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Q: Let f: R2 → R be a function given by x²–y² if (x, y) # (0,0), f(x, y) = if (x, y) = (0,0). Using…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: Linear and quadratic approximation

Q: 40.x = u', y = v², z = uv; u = 1, v = 1

A: Solution :-

Q: {(: ) 1. The set of 2 × 2 matrices with real number entries, denoted M2(IR) : a, b, c, d e R}, is a…

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Q: The sphere below has a total volume of 86 piπ cm3. What is the radius of the sphere, rounded to the…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: Calculate 1₁ ₁² ² a feas = e¯² ds for the piece of the cylinder x² + y² = 16 for 0 ≤ z ≤ 7.

A: we have to find the ∬Se-zdS for the piece of the cylinder x2+y2=16 for 0≤z≤7

Q: 6) Find the measure of all 7 angles given that one of the angles is 115. Angle 1- Angle 5= Angle…

A: Solution

Q: (0 1 1 A=|1 0 1 1 1 0,

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Q: 5. Given that X, - px, 2 = 9 where p and q are constants. a) Find the general solution of x in terms…

A: Since you not specified the sub parts so i am solving first three sub parts. a) Consider the given…

Q: B. Find the area of the region bounded by the following: 12²/1/20 16. r=8sin

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Q: Write the equation of a sine or cosine function to describe the graph. D=0

A: Note: General form of sine function is y = A sin(B(x + C)) + D  A = Amplitude, Period = 2π/B  D =…

Q: 18 || 3 -6 -12 0 and y= -107 -4 -11 9

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Q: y Suppose E (A, B) is controllable. Suppose a change of basis is performed so that we obtain a new…

A: As per the question we are given a controllable system as : ∑ ➞ (A, B) And after a change of…

Q: B1. (а) The unfinished Histogram and Frequency Table give information about the times, in hours,…

A: Histogram: It is a diagram containing the rectangles, whose base is the range of the intervals and…

Q: m and n, mn, such that: and U(m) ~U(n). Find integers a) |U(m)| = |U(n) b) |U (m)| = |U(n) and U(m)…

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Q: xy for x, y not the origin Va2+y? g(x, y) = 0; for the origin Using the definition of partial…

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Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: Question: Which of the following statements are true? A = {1,2,3,4}, B = {1,2,{3,4}}, C =…

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Q: Q\Find T4 and T6 and the solution by trial and error, in detail, and steps TH - To 28.75- T6 0.2=

A: We need to solve 0.2=T4-T628.75-T6 We need to solve this using trial and error. Let us assume T6=1…

Q: Q9. Which of these is not the derivative of the function, y =X": --1½ A. -½x В. —0.5х-1Vx-1 С. —0.5…

A: Given function is y = x-12

Q: Apply Green's Theorem to evaluate the integral (4y² dx + 4x² dy), where C is the triangle bounded by…

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Q: Let DCR be a disk ontining the crigiın ard dssume that dD →R is d Funeton given by g(zy) = e*Ccos9…

A: To check whether gxy=gyx at (0,0). Given…

Q: 1. Find the domain and range of the following: 1 (a) f(x, y) = = y-x² (b) g(x, y) = 9 - x² 2 (c)…

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Q: 2. Which expression can you substitute for x in 5x + y = 8 to solve the system belo 5x + y = 8 x +…

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Q: Use the equation below for calculating the correlation co-efficient, r to state when the correlation…

A: This is a problem of theoretical distribution.

Q: - Find T3(x, 1) for f(x) = ln x and use it to approximate 1.2. How good is this approximation? Use a…

A: Taylor polynomial approximation value of lnx and x

Q: Let x, y, A, µ E Z. Prove that if 1 = Ax + µy then x, y are relatively prime. a (a) Find a prime…

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Q: Find the Value of ? P(a, b): a^ bv ( !a ^!b) ^ b == b Va (Vb P(a, b) ) == ? 3a (3b P(a, b) ) == ? a…

A: For any P,  P v !P = T                    P ^ !P = F Hence, a = {T, F} Again for any R,  R ^ !R = F…

Q: Suppose you want to have $500,000 for retirement in 20 years. Your account earns 4% interest. How…

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Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

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Q: Select the scatter plot that goes with the data shown below. Then, determine whether a linear,…

A: Press the ON button to turn on the calculator. Press the STAT button and press 1 to select the…