d. Find (g of)@). e. Find h(g(3)). f. Find h (g(f(b)).

Q: a'=(1 + a )(-6*a+3*b) b'=(1 - b)(3*a - 6*b) prove that origin of the equation is a equillibrium fo...

A:

Q: expand function f(z) into the laurent series at point z0 for given intermediate circle: f(z) = 1/((...

A: expand function f(z) into the laurent series at point z0 for given intermediate circle: f(z) = 1/((z...

Q: L (sin? t) What is f (t), f' (t) and f (0) ? O b) O a) f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f (...

A: We will find out the required solution.

Q: a?y' + (y')² – 2xy = 0 where x = 2, y = 5, y' = 2 %3D

A: We can solve this using substitution method of differential equation

Q: Refer to the Venn Diagram shown below. How many students like Volleyball or Skiing but not Soccer ? ...

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Q: Let f : (0,∞) → (0,∞) be given by f(x) = ln(2 + x). Prove that f has a fixed point located between 1...

A: The given problem is to prove that the function f(x) has a fixed point in between 1 and 1.2 Given fu...

Q: State the order, degree and linearity of the ODE.

A: Here given DE is  (y')2-xy'+y=0.....(1) The order of a differential equation is defined to be that o...

Q: A company is in the process of preparing a budget for launching a new product. The following table p...

A: Given: The following table provides the associated activities and their durations Activity Predec...

Q: Let n be an even positive integer. (a) Show that if the degree of every vertex in a simple graph G o...

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Q: Kamal took a loan for RM720 on 30 November 2020 and this would amount to RM750 on 20 February 2021.F...

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Q: 3. Let n e N. Prove by mathematical induction that > 3* = 4". k k=0

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Q: sider a system of two linear first-order ordinary differential equations: 1 =}41+ 2y2, ý2 = Y1 – 42 ...

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Q: Find the Laplace Transform of the following periodic function by using Unit Step function : f(t): 3,...

A: The given problem is to find the Laplace transform of the given unit step function, we have to use b...

Q: Problem 5. Assume a, b, c are positive constants where a > b as picture indicates a. Find the Area u...

A: We are given the following figure. Here, a, b, c are positive and a > b. For (a), We will find t...

Q: Use Newton Raphson to find the roots by setting the initial guess to 0.7 and tolerable error of 0.00...

A: Roots of the function

Q: PART 1 a. Find the fundamental period of : i. sin (2nx) ii. sin /2 πmx b. Find the Fourier series of...

A: The given problem is to find the fundamental period of the given trigonometric functions and also fi...

Q: The notation vxP(x) denotes the universal quantification of P(x). Here v is called the universal qua...

A: We will find out the required value.

Q: Find the arc length of the function f(x) 3/2 2 on the inverval 0 S x < = %3D 15 (A) (B) (C)# (D) (E)...

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Q: 1. Consider the following matrix: 2 1 -3 A = -1 1 1 4 1 -2 3 (a) (b) Find a basis for the image of A...

A: Let us apply elementary row operations on the given Matrix A to reduce it in row reduced Echelon for...

Q: Use two iterations of the Newton-Raphson method with a st solution to the equation: f(x) = e-5æ = 0....

A: Introduction: The general formula of newton-raphson method is given by, xn+1=xn-f(xn)f'(xn)

Q: c. Find the given inverse transform. s2 + 1 (s(s – 1)(s +1)(s – 2))

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Q: use e uler's methods with step size h=.1 to approx w(.2)  where y is the answer to the initial valu...

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Q: Use Green’s Theorem to evaluate the line integral  (x^2 − 2xy) dx + (x^2 y + 3) dy where C is the bo...

A: The given problem is to evaluate the given integral in the contour using the green's theorem in the ...

Q: The following results w

A: Given: The following requirement table are:  x 1 1.50 2 2.50   3 3.50   4  4.50   5  fx 230 345...

Q: Question 13: Compound Interest Compounding period Future Value Principal Interest Rate Time 250,000 ...

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Q: 9: Let f(x) = 7x + tan(3x) %3D Find the inverval(s) on which ƒ is concave up. (A) (-0, 0) (B)(-o, -)...

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Q: Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chry...

A: Total number of pieces = 15,000

Q: he cardinality of the power subset of {Ø} is 1. A) True B False

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Q: = 3 cost – 4y, y(0) = 0 (a) Find approximate values of the solution of the given initial value probl...

A: Part (a)

Q: y = ce* + c2e²x 3.

A: To eliminate the arbitary constants. 

Q: All circles whose center is 5 units away from the y-axis O () +y - (r+ 5)y" =0 O (y) +y - (z ± 5)y" ...

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Q: Write the set X = {... -1, -0.9, -4/5,-0.7, -3/5, -1/2, -2/5, -0.3, -1/5, -0.1 0,0.1, 1/5, ...} in s...

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Q: Let's say that last November you have sold 10,000 pieces of chrysanthemum at 25 pesos each. For ever...

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Q: In 2020, the U.S. purchased $1.5 billion worth of goods and services from foreign countries, sold $2...

A: Solution:  Net capital outflow =$2 - $1.5 =$ 0.5 billion  Now, we have     Saving = investment + net...

Q: Find Laplace method, the use that to derive string approximation. Note:- don't forget to put some gr...

A:  

Q: (c) y?r dy dx 22

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Two poultry farms supply companies with chicken feeds. The unit costs of shipping from the farms to ...

A: As per the question we are given a Linear Programming Problem. And we will solve it using least cost...

Q: Consider the function f: (-2, 0) → [0, 0) defined by f (x) = vx + 2. Prove that f is surjective.

A: We will prove the given statement.

Q: 1. Consider the following matrix: -2 1 -3 A = -1 1 1 4 1 -2 3 (a) (b) Find a basis for the image of ...

A: As you mentioned  solving parts d and e Finding eigenvalues and eigenvectors below

Q: A sailor in a small sailboat encounter shifting winds. She sails 1.80 km east, then 3.50 km southeas...

A:

Q: Use Polya’s Four Steps to solve the following problems. 1. ) Susie’s age this year is a multiple of...

A: We will use Polya's four steps method:

Q: Q: Find the Fourier series of: f(x) = e-* where 0 <x < 2n How to find a,n and bn in the example abov...

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Q: Q: Find the Fourier series of: f(x) = e-* where 0 < x < 2n How to find an and bn in the example abov...

A: The given problem is to find the Fourier series of the given function, Given function f(x)=e-x

Q: Determine the quotient of 4(cos 250 - i sin 250) and 2 (cos 15 -i sin 15) A) 2 (cos 235 + i sin 235)...

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Q: #6: Find the value of y' when x = 0 if y5 +e/3 = e (A) - () - o- m) - )- m- (G) e

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Q: Suppose A\B C C. Prove that if x E A\C then x E B.

A: I am solving this in step 2

Q: A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley...

A: Linear programing problems are optimization used to find the maximum or minimum of a function under ...

Q: For every graph G on n vertices, either G or its complement with respect to Kn must be Eulerian (i.e...

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Q: What is the angle (measured in radians) between the vectors (1,1) and (1+ 3,1 – V3)? 6 ONone of thes...

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Q: Let a, B and y be the roots of the equation 523 + 22 + 3z + 4 = 0. Find the values of the following:...

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