Let f, g: R → R defined by if x < 1 {2x – 1 if x> 1 f(x) = %3D and g(x) = 3x + 2. %3D fog and go f.

Q: 19. Solve y'(1) + y(t) = sin t; y(0) = 1 by Laplace transfrom. %3D

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Q: Find the inverse Laplace transform of H(s) +ed

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Q: Find an equation of the tangent plane to R(u, v) = (e" sin u , eº cos u , e¯-" ) at the point where…

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Q: Find the volume of the figure with base bounded by the given curves such that slices perpendicular…

A: To find- Find the volume of the figure with base bounded by the curves such that slices…

Q: Question 4 Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. For what values of k is |…

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Q: (a) Decide whether or not there is a simple graph with degree sequence [0, 1, 1, 1, 1, 2].

A: In first part we have given degree of sequence and in second part number of student. We have to…

Q: A mass of 6 kg is attached to the end of a spring with spring constant k = 18 N/m. It is set into…

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Q: Show that the following nonlinear system has 18 solutions 0 <α < 2π, 0 < β < 2π, and 0 < y< 2π. sin…

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Q: Evaluate the indefinite integral as a power series. What is the radius of convergene (a) (b) /= x -…

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Q: 3. Dwight Howard has a free throw percentage of 56.5% which means he successfully makes a free throw…

A: We have to find the probability of the above three questions.

Q: By fixed-Point Iteration, evaluate f (x) = x* –x-e* starting at x1 = 0.

A: Given that fx=x2-x-e-x and x1=0. To find: the root of the given equation. Please post the multiple…

Q: Solve for x: 3x + 4= 9x +3 25 1 A 3 3. None of the above. SHOW HINT 1 6

A: We want to find the value of x.

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Describe the graph of the equation. r = - 15 i + (1 – t)j +t k O Itis a parabola in the planex = -…

A: As Given, The graph of the equation is, r = -15 i+(1-t2) j +t k

Q: المنيك كلب بنات تيليجرام أيهم وائل المناصرة المنيك أيهم المناصرة المنيك أيهم المناصره اخو القحبة…

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Q: 4. Give an example and a proof to show: Local isometries can shrink but not increase intrinsic…

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Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

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Q: AAAAAA AAAA 30. If the power series an(x – 4)" converges at x = 7 and diverges at x = 9, which of…

A: We will find possible radius of converges and then interval of converges ,

Q: Using Euler's Method, approximate the initial value problem for various values of x given in the…

A: y'=9x2-4x+5,y(-1)=0,h=0.2 here, x0=-1,y0=0,h=0.2,xn=1 y'=9x2-4x+5 :.f(x,y)=9x2-4x+5 Modified Euler…

Q: Tuition of $1830 will be due when the spring term begins in 6 months. What amount should a student…

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Q: Consider the vector 4 v = 4 Find two vectors w1, w2 ER° such that: • Both w1 and w2 are orthogonal…

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Q: x?y" - xy' + y = In(x), y(1) = 0, y(2) = -5; n = 8 1.125 |- 372 1.250 -1.31 1.375 |-1.708 1.500…

A: Given,x2y"-xy'+y=ln(x) , y(1)=0 , y(2)=-5, n=8To find: Solution of given Boundary value problem

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

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Q: Solve the system of differential equations x' = 31x + 56y ly' 16x 29y - - x(0) = 7, y(0) = - 4 The…

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Q: Let's assume that we have the following system of linear equations Ax = b where 5 3 2. A = 3 7 -2 -3…

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Q: For two events, M and N, P(M) = 0.6, P(N|M) = 0.4, and P(N|M') = 0.3. Find P(M'|N'). ... P(M'|N') =…

A: Given for two events M and N, P(M)=0.6, P(N|M)=0.4 and P(N|M')=0.3   To Find: P(M'|N')

Q: Ms. Poo Hun deposited P120,000 in a cooperative with 2.5% rate of interest. After 10 years, she…

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Q: The following certificate of deposit (CD) was released from a particular bank. Find the compound…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

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Q: -1 with a =-1, b =7, c =12, and d = -11. Find the trace 3 a Let A and B [7 d (the sum of the…

A: The solution is given as

Q: Let A = {2,6}. Consider the set B = A x P(A) (where P(A) is the power set of A). Define a partial…

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Q: Represent the following equation functions. (a) (r – h)² + (y – k)² = r²

A: We have given an equation (x-h)2+(y-k)2=r2. Represent given equation as vector valued function.

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

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Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: If f(x) cos-(2x+5) then dom(f) %3D a+3 (A) (-3, –2) | (B) [-3, –2] (C) (-3, –2] (D) (–1,1) (E) (-o,…

A: Given function is f(x) = cos-1(2x+5)x+3

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Indicate the cardinality of the set A, defined as the union of four sets of cardinalities 22, 31,…

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Q: 7.4 Find a subset of the vectors v1 = (1, –2, 1, – 1), v2 = (0, 1, 2, – 1), v3 = (0,1, 2, –1) and v4…

A: To find the solution of the given question :-

Q: A study determined that 3% of children under 18 years old lived with their father only. Find the…

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Q: Q6. Use Taylor's Theorem to prove that if x > 0 then, 5 1+

A: Given,x&gt;0 To prove: 1+x12-1+x3+x29≤58!x3

Q: 土

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Q: a. Let V be any finite dimensional vector space. In class, we learned that for any finite set (w1,…

A: To Check: Whether the given statement is true or false. Statement: If W is a subspace of a vector…

Q: SUBJECT/COURSE: ADVANCED ENGINEERING MATHEMATICS 1. TRUE or FALSE. All real numbers are complex…

A: Here we use basic theory of complex number.

Q: Question 5. Given the following recurrence relations, find their closed form. a. an = 4аn-1 — 4, ао…

A: Find the closed form of the given recurrence relations :-

Q: Using Excel, get the roots of the follo equations through Bisection Method 1 f(r) = r2 –r - 2

A: The given equation is f(x)=x2-x-2 find f(0) f(0)=02-0-2=-2 find f(1) f(1)=12-1-2=1-1-2=-2 find f(2)…

Q: 1 Give one example r that makes log. (r) rational but not an integer

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Q: 2. sVr .: s Vt

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Q: If k is a real number, then the vectors (1, k), (k, k + 56) are linearly independent precisely when…

A: If k is a real number, then the vectors (1, k), (k, k +56) are linearly independent precisely when k…

Q: Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume…

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