H-W: 1- Fraluate the following integrals a - St7 +12 dt

Q: (x, y, Z) = è + xlny + ylnx find fz fx fxx fy 5) fxy Fyx

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Q: 6. Let V = span{1+x²,x}. Two ordered bases for V are Si = {1+a², x} and S2 = {1+x + x², 2+ x + 2a²}....

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Q: (- 25х3 + 3х — 5) - (5х2—4х + 2) Find the quotient and the remainder :

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Q: Q2/ Find the dirivative for the follwing function y = cosh(x)/ln(x)

A: Given function is y=cosh(x)ln(x)              (1) We know that ddxcosh(x)=sinh(x)ddxln(x)=1x ddxf(x)...

Q: Which system of inequalities is represented by the graph? [y-x B. C. D.

A: The two bold lines drawn in the graph is represented by the following equations.

Q: Spanning Sets In Exercises 9–18, determine whether the set S spans R. If the set does not span R?, t...

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Q: 3. p + y = ty dt dy 2ty(y – 1) dt 6. 3(1 + ²) %3D

A: Given 3 t2dydt+y2=ty6 31+t2dydt=2tyy3-1

Q: Find the particular solution of the differential equation (2xy - sin x)dx + (x² - cos y)dy = 0, when...

A: Exact differential equations

Q: Find two numbers whose sum is 20, if the product of one by the cube of another is to be the maximum.

A: For stationary value of a function y = f(x),   y' = f'(x) = 0  A function y = f(x)  is said to have ...

Q: Explaining Why a Set Is Not a Basis In Exercises 15-22, explain why S is not a basis for R'. 22. S =...

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Q: H.W/ A/ Find e* dr approximately using the Trapezoidal rule with n 10.

A: Given integration is ∫13ex2dx here a=1, b=3 and n=10 It means [1,3] is divided into 10 subinterval. ...

Q: What is the width of the class interval of 1-3?

A: Width of the class interval

Q: (TA~ F) F) v (T

A: A logical operator on mathematical statements is a word or combination of words that combines one or...

Q: y(2x + y?)dx + x(y² – x)dy = 0

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Q: Find the element in row 1, column 3 in the matrix W, where W= (BT+A")T, [13 A = [31 45 2 31 21 19 8....

A: A matrix is a mathematical object in which numbers are arranged in rows and columns. If a matrix con...

Q: Let V = R^n be the real vector space that is spanned by {e1, . . . , en}. For each 1 <= r <= n let V...

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Q: 4\14 in simplest form

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Q: The Gamma function I'(r) is a generalization of the factorial function to all real numbers. r(r) = (...

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Q: tive polynomial

A: Proof as, Since f(x) g(x) is primitive and c(fg) is a unit.

Q: A9 A:r. to move from (270,250) to (270,100), we will write 40,250 270,250 40,100 270,100 @0,150 O @1...

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Q: 2. Find the mean of the probability distribution of the random variable X which can take only the va...

A: 2. We have to find mean of given probability distribution.

Q: Write expoential Fourier transform of f(x) = e-l*l.

A: We need to find Fourier transform of  fx = e-x We know the formula for Fourier transformation of  f(...

Q: The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.15, 0.10, 0....

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Q: irst and la= 2] 2 then X

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Q: olve the following  complex numbers in their rectangular form. Use the given formula and use 4 decim...

A: To solve the below complex number in its rectangular form. Csch−1−2.0807+4.5465i

Q: ber of linearly

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Q: Is it possible for a matrix to be both upper triangular and lower triangular? Oa. Yes O b. No

A: Solution

Q: Which of the following are real vector spaces? The set of natural numbers N P6 (x) the set of all po...

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Q: Find a three point quadrature rule for integrals of the form ² dx. f (x) e I suggest using WolframAl...

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Q: ind the maxir

A: The profit function is given by the formula P=Revenue function-Cost function. The revenue function i...

Q: Q.1. Use the differential dy to approximate ay when y=V3x-2 and x changes from 2 to 2.03

A: Given equation is y=3x-2 Also, given that x changes from 2 to 2.03 then ∆x= 2.03 -2 =0.03  

Q: Use the double integral to find the volume of the tetrahedron bounded by the planes r + y + z = 5, x...

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Q: 2. A rectangular field has a length of 120 m and a width of 300 ft. What is the area of the field in...

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Q: Give an example of a real life situation that illustrates combination. a. Formulate a problem b. S...

A: We have to solve given combination problem.

Q: Find the roots of the following equation x6 – x – 1 = 0 Using an initial guess of xo =1.5?

A: Given  we have given the equation  x6-x-1=0 we have to find the root of given equation by using init...

Q: Exercise 10. Let Z be the set of integers and R be the relation on Z defined by: aRb if and only if ...

A: Let ℤ be the set of integers. R be the equivalence relation defined on ℤ by , aRb ⇔ a2 ≡ b2mod 5 Fir...

Q: A contract requires lease payments of $700 at the beginning of every month for 7 years.  a. What is...

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Q: a. Find an upper bound for the remainder in terms of n. b. Find how many terms are needed to ensure ...

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

Q: 1. Consider the vectors (2, 1,0, 2], [3, 1, 0, 1], [1, 1,0, -1] in R'. Decide whether they independe...

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Q: The 26-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of...

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Q: Which of the following show/s the Euler diagram/s for the argument below? "All runners are athletes....

A: We have to find the Euler diagram of given argument.

Q: 29 and s = 18 - 1 3 4 - 2 17 Let u = V = w = 3 4 60 s can be written as a linear combination of u,v ...

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Q: 10) Evaluate gF (5)) 11) How many gallons of water are in the pool after 3 days?

A: Let f(x) computes feet of water in a pool after x days and g(x)converts cubic feet to gallons

Q: = 4x1 + 5x2 %3D Xị + 3x2 < 12 + 2x2 < 12

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Q: Q.1. Use the differential dy to approximate Ay when y=V3x-2 and x changes from 2 to 2.03

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Q: A number of matrices are defined as [4 5] [A] = |1 2 l5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the ...

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Q: Show that p ↔ q and (p ∧ q) ∨ ( ¬p ∧¬ q) are logically equivalent

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Q: 10. Suppose there are 10 women and 8 men who teach at a private school. Please simplify your answers...

A: a) There are two cases for the given situation. Case 1.  2 teachers are women and 1 is man. Case 2. ...

Q: a.) Which is the correct (B U A ) – C Venn Diagram. Check the Image for the choices. (The one in Red...

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Q: Q1. Find the limit of the function if it exists x² + y² – 2xy lim (x.y)-(0,0) у3 — х3

A: We have to check whether the limx,y→0,0x2+y2−2xyy3−x3 exists or not. Convert the polar coordinates L...