Solve the equation log3 (3

Q: (4) Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and i…

A: Given: From the question, x→=Distribution VectorA=Coefficient matrix Then take, yι=Ay By using…

Q: 2. Consider the function f : R x R –→R x R defined by f(2, v) = (", "). Determine the powers of f.…

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Q: 5. Show a separate graph of the constraint lines and the solutions that satisfy each of the…

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Q: Find the area inside both curves. r = 2+ sin(20),r =2+ cos (20)

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Q: The 300-lb block shown in the figure is kept from sliding down the inclined plane by friction and a…

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Q: What value for P(4) will make this probability distribution valid? P(X) 0.1 0.25 0.52 0.26

A: We want to find value of P(4)

Q: 2k)! 6* (3k)!

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Q: Find the solution. (x³+3y) dx – xdy = 0 y = 2r$+ cx³ B 2y = x + cx³ © x = 2y5+ cx³ Dy = 2r5+ cy3

A: Correct ans is option - B

Q: 2. Let gn(x) to zero uniformly on [a, o). Show that the convergence is not uniform on [0, 00). for n…

A: Given function is gn(x)=nx1+(1+n2x2) Now limn→∞gn(x)=g(x)=limn→∞nx(1+n2x2)…

Q: 고) = 88fC

A: a. ∂θfx=θ∂fx,∀x∈ℝn take ∂θfx=∂θfx∂θfx=θ∂fx

Q: Question 2.6. Use the Riemann integral to prove that for f : [a, b] → R Riemann integrable and f 2…

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Q: Write the system in the form Ax = B and use x = A-'B to solve the system for each matrix В. Tị + 2x2…

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Q: Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the…

A: Input flow and output flow are not equal so amount of solution will be changed time to time.

Q: 1) You make 0.4% per day in interest in perpetuity. 2) It cost $1 reinvest your interest you…

A: Yes, you are wrong, 50% of the interest you have to pay at the initial time whatever you are…

Q: 2 -3 1 -1 2 io Lo 100C

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Q: 4. Find the number of surjections from {1, 2, ..., m} to {1, 2, ..., n} such that no element in the…

A: The number of surjections from {1,2,...m} to {1,2,.....n} (m>n) is  ∑i=0n(1)ini(n-i)m

Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) =…

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Q: 19. Prove that Edin H(d) log" d = 0 if m 1 and n has more than m distinct prime factors. (Hint: use…

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Q: Consider the solid G bounded above by x^2 + y^2 + z^2 = 16, and below byz =sqrt(3(x^2 + y^2)). (a)…

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Q: Determine whether the set S spans R3. If the set does not span R3, then give a geometric description…

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Q: Scott Shazam's Great Big Bagel Factory deals with large quantities of hot salt water. In the…

A: We will find rate of change of amount of salt and use it to form a differential equation .

Q: Solve y2 + 2y+1+Y =n with Yo 0 = y,. %3D

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Q: Determine whether the following series converge or diverge by using any appropriate test: 1+ k4/3…

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Q: If M and N are metric spaces, the Cartesian product M x N is again a netric space with the distance…

A: We have given that , M and N are metric spaces. We have to show that , M × N is again a metric space…

Q: Figure 1.2.11: Plot of the position function y = s(t) in Activity 1.2.4. a. Use the graph to…

A: The slope is change in y by change in x according to the graph. Ratio of change in position and the…

Q: A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r…

A: Given,z=160 p0.6r0.4P=$400,  R=$2,800400P+ 2800R=420,000 To find: A) Units of chemical P,(p) and…

Q: 2. Determine a two term expansion for the large roots of = tan r and r tan r = = 1.

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Q: For each scenario below, choose the graph that gives the best representation. (a) A sight-seeing…

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Q: a) Define a linear operator on R by performing the following operations in order: i) a shear in the…

A: As per policy, we are solving Question (a) only, Please repost the Question to get the solution for…

Q: #2. Give a counter exa mple that (Sn) is bounded but not convergent.

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Q: On May 12, a fast-growing species of algae is accidentally introduced to a pond in an urban park.…

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Q: Find the critical points of the function. Then use the Second Derivative Test to classify the nature…

A: Critical points and classification

Q: Suppose you want to have $500,000 for retirement in 20 years. Your account earns 6% interest. Round…

A: Given A=$500000 , t=20=n , r=6% , I=0.06 . To find the monthly payment .

Q: Q2. Solve the Bernoulli IVP, x²y – 2xy = 3y*, y(1)

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Q: the function f (x, y) = xy2 +1/6 x3 − x + 1 is given. a) find and classify all critical points of…

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Q: A glass prism is stored in a cardboard case that unfolds like the one shown below. How many square…

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Q: A sample of 338 students at a university is surveyed. The students are classified according to…

A: relative frequency

Q: Solve the initial value problem y"+2y'+5y = 0, %3D y(0) = 2, y (0) = -2.

A: Given differential equation is y'' + 2y' + 5y = 0 with y(0) = 2, y'(0) = -2

Q: and ug at the points Pi, P2, P3, and Pa respectively, given uz + us + 100+ 100 4 200 + uz + uz + 100…

A: From the given statements, we have to solve the system by finding the coefficient matrix.

Q: ¯X f(x) =x+ e Solve this question by the Bisection method on the topic of solution of Algebraic and…

A: The given function is fx=x+e-x

Q: Consider this dilation. Hint: Remember what we’ve discussed about the notation for the original…

A: ABCD is the original image  A'B'C'D' is the new transformed image which is smaller in size,…

Q: Points B = (5,9,7) and c = (9,3,7) are on a sphere centered at A = (1,2,3). To two decimal places,…

A: This is a problem of Differential Geometry.

Q: cos z COS Z at z = 0 :

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Q: 5. (The residue theorem and residue calculus) Compute the following integrals: (b) sin(e/=) dz ==1…

A: (b) The given integral is                  ∮z=1sine1zdz

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. @ y = (c,+cx)e¯* + cze -2r + e*(c_,cosr + c zsinx)…

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Q: Find a Möbius transformation which maps the line Re z =5 and the circle |2| = 4 onto concentric…

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Q: Prove the following theorems using direct proof, indirect proof(contradiction, contrapositive),…

A: We have to prove or disprove the following statements : (i) For every pair of positive real numbers…

Q: 2, then the conju

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Q: x3k as a continuous function of x, if possible. If not k! k=1 Let x be a real number. Write the…

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Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. A) y(t) = 5 1 + -e 5…

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