4 2 -7 B = 2 1 -2 -3 -5 6 ,

Q: e lim tan(x).

A:

Q: n²sinx Show that g„(x) converges uniformly to x e [1,5]. 1+ n²x

A:

Q: Q7) Use the rules of inference to show that the following hypothesis lead to the conclusion: CLO.5 V...

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A: We will solve this by using definition of logically equivalent

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A: Solution 

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Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

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Q: Q1. Test for conditionally converge, Absolutely converge, or diverge of the series Et(-1)"" Inn %3D2

A: The given series is an alternating series. ln nn≤0 for x≥2 Thus, it is a decreasing series.  

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Q: Explain exponential function? Provide a real-world example of an exponential function, explain the r...

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Q: 4. Approximate the following integrals by computing the Trapezoid approximations using 4 subinterval...

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Q: Determine which matrices are in reduced echelon form and which others are only in echelon form. 0 0 ...

A: A matrix is said to be in row echelon form if All rows consisting of only zeroes are at the bottom. ...

Q: 4. If the curve y = 3 – x², 0<x<4 is rotated about the y-axis, find the area of the resulting surfac...

A:

Q: What is the value of X if, X = 1| 32?

A: Given X = 1 | 32  

Q: 4 Find the sum of the first 5 terms of a geometric sequence with a = 162 and r = 31 The sum is

A:  

Q: у? + 13х-y ble, are

A:

Q: The graph shown compares the number of pages of the same book read by Emily and Serena over time. Em...

A: The straight line is a function of one independent and one dependent variables. The powers of both t...

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x)=x2+x-...

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Q: How long will it take for payments of $350 to accumulate to $12,000 at 3% compounded monthly if made...

A: a Given information Future value FV=$12,000 Periodic Payment PMT=$350 APR=3% compounded monthly ⇒APR...

Q: 2. Evaluate the integrals. (a) (HARD) / ka² + 16 x2 .2 dx. (b) /u*sr sin(u") du.

A:

Q: Rework problem 23 in section 6.3

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Q: Integrate the function as a power series. Use the 2n +1 00 Maclaurin series sin x= | n=0 (2n + 1) ! ...

A: The given Maclaurin series is                           sin x=∑n=0∞(-1)nx2n+1(2n+1)!

Q: (b). f(A – B) = f(A) – f(B).

A:

Q: In Hotelling's Ice Cream Truck game.  Assume there are 9 spots: {-4, −3, −2, −1, 0, 1, 2, 3, 4} Ass...

A: Solution 

Q: Q6) Use the rules of inference to show that the following hypothesis lead to the conclusion: CLO.5 m...

A:

Q: Find the general solution of the ODE below. 2z y'" – 4y' + 4y = e" arcta y(x) =

A: Introduction: If a second-order homogeneous differential equation has two equal real roots, then the...

Q: Find the equation of the tangent plane Pr to the surface S: a2 +y? + z2 = 9 at (2,-1, 2)

A: Given that S:x2+y2+z2=9 at 2,-1,2. We have to find the equation of the tangent plane PT to the given...

Q: A point P(1, 3, -5) is translated by 2i+3j-4k and then rotated counter clockwise by 90° about the z-...

A: Given a point P(1,3,-5) is translated by 2i^+3j^-4k^ and then rotated counter clockwise by 90° about...

Q: Find the equation of the tangent plane Pr to the surface S: x2 + y? +z² = 9 at (2, –1, 2)

A: The equation of the tangent plane to the surface f(x, y, z)=0 at a, b, c is defined as: fxa, b, cx-a...

Q: Compute d(ū, ū), d(ū, w) and d(ū, w) where ū, ū and w are

A: Given: u¯=12-48, v¯=8-241 and w¯=2-418 To find: du¯, v¯, du¯, w¯ and dv¯, w¯ where d is distance bet...

Q: The level curves of the function f (x, y) = x² + y² are circles

A: Since f(x,y)=x2+y2 is a function of circles  

Q: © Given f: [2, -)R. what is NEN such that fr &). - 14 x" converges uni formly to f)=0. 6) In 1 InlEl...

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Q: 11+11-12=

A:

Q: You learnt from chemistry and ECH 3023 that hydrogen sulfide may be reacted with sulfur dioxide in a...

A: The given equation is, On balancing H atom:                             2a=2d On balancing O atom: ...

Q: The graph below represent the domain of the function O f(1, y, 2) = /oty 1 %3D O (1, y) = In(1 -z + ...

A: Given the graph is

Q: find the root/s using Bisection Method x-e^-x=0   Ans. x=0.567

A:

Q: In the accompanying diagram of trapezoid ABCD, AB = 26, BC = 10, CD = 18, CB 1 AB, and altitude DE i...

A: Area in f the trapezoid  

Q: Multiplicities Use the images to determine the multiplicity (or power) for each root: Select the cor...

A:

Q: The series -1() Lk=1 a ) converge to e b) converge to e-1 c) converge to 1 d) diverge e ) none

A: Given series is ∑k=1∞ k+1kk

Q: 4. Evaluate the following integrals: a) (22x +5e-*)dx b) S(esecnx sec Tx tan x)dx -In 16 e*/4

A: # we are entitled to solve one question at a time  please resubmit the other questions if you wish t...

Q: dy - y In(ye cos *)dx = y cos x dx COS X

A:

Q: 1. Find all the third roots of i and plot them on the Argand diagram.

A: We have ,  z = i We need to find third root of  z = i . Compare z = i with z = x + iy Thus ,  Real (...

Q: Approximate the distance covered by a rocket from t= 6 to t=25 as given by x= 200 140000-210 140000 ...

A: To evaluate the definite integral ∫abfxdx, use the following formulae. Trapezoidal Rule: ∫abfxdx=h2...

Q: Q5) Translate then negate the following sentences into propositional logic, making the meaning of yo...

A: Please five the solution in step2

Q: e*dx by dividir a Simpson's rule i-

A:

Q: 1. a) Let x is n-vector and p and q are two constant n-vector. f(x) = ßx – q° - Ax – ql² is f(x) lin...

A: Since you have asked multiple questions, we can solve first question for you. If you want other ques...

Q: Compute the specified quantity. You take out a 5 month, $6,000 loan at 8% annual simple interest. Ho...

A: Multipart:   1) Here, we have ,  P = $6000 , r = 8%  = 8100 , t = 5 months  ,  t = 512  years We kno...

Q: Assessment ...... ... h.... Find out how much knowledge you have gained in this module. Choose the l...

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