2. x + ( 1+x)y = e -x sin2x dx

Q: Test ) what are the real roots of 43x+4 + J3x-6 the equation =10 %3D

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: 2 Find an orthogonal basis for the space spanned by 4 and

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Q: Let Mı5(IR) = {A/A and 15th order square matrix with real elements} and consider the linear operator...

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Q: A stall owner sells two types of durians: ordinary durian and premium durian, priced at $20/kg and $...

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Q: 19. Evaluate W (1+x, x, x²) (а) —2 (b) —2г (с) 2г (d) 2

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Q: ndent experiments based on 15 refrigerators of each brand were performed and time taken in formation...

A: Given as, A per protocol, we allowed to answer first three sub parts and post the remaining in the ...

Q: .(Subtle) Suppose p(x) is continuous on some interval I and a is a number in I. What can be said abo...

A: The complete solutions are given below

Q: Linear programming solve using only simple

A: Given, a small petroleum company owns two refineries. Refinery 1 costs P25,000 per day tooperate, an...

Q: Last month, Kaitlin's average daily balance on her credit card was $1,243.41. The annual interest ra...

A: Solution:-

Q: 1. Find dy/dz by logarithmic differentiation differentiation.

A: Given y = xln(x)   --- (1)

Q: Express the following complex number in exponential form: (3 - 4) O -V5e-5.36/ 5e5.361 5e-5.36i V5e5...

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

A: Any general Maclaurin series for a function fx may be expressed as fx=∑n=0∞fnxn!xn 

Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines ...

A: Introduction: From a set of n distinct object, r distinct object can be selected following no repeti...

Q: Let (bk-1·. bo)2 be a binary representation of a natural number, and a be a single bit. Prove: (bk-1...

A: We will use the definition of binary representation to prove the given result.

Q: (please solve within 10 minutes i will give thumbs up)

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Q: Problem (Spherical Segment): The volume V of a liquid in a spherical tank of radius R is related to ...

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Q: tangle ABCD is rotated by 90 degrees clockwise about the origin and then translated nits left and 2 ...

A: Given the rectangle and it is rotated 90°clockwise and shifted 3 units left and 2 units down.

Q: Show complete solutions.  a. Find the unit vector in the same direction of V= . Graph the correspond...

A: Introduction: The component representation of a vector in two dimensions is v=vxi+vyj Here, vx and v...

Q: Prove that 3 and 1+v-5 are relatively prime in Q(V-5), but that there exist no integers A, µ E Q(v-5...

A: We will use the basic knowledge of ring theory and UFDs to answer this question properly, in detail.

Q: 4.2 True or False: If T : R3 R3 is a linear transformation so that T(e1) = T(e2- e3), then T is not ...

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Q: 2. If y = tan(x +n), find x as a function of y.

A: 2 Given function is y=tanx+π. We have to find the x as a function of y. We know that y=tanx⇒x=tan−1y...

Q: Use elementary row or column operations to evaluate the determinant. 2 0 4 6. 4 5

A: we can use elementary row operation and make a diagonal matrix first and after that we can find dete...

Q: Problem 1: Direct Methods of Solution of Linear Systems of Equations Consider the following linear s...

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Q: Solve the following problems. Show your solutions 1. Mang Juan borrowed money to start a business. T...

A: Given  Mang Juan borrowed money to start a business . the bank told him that he has to pay a simple ...

Q: 7. (D² + D²)z = a²y²

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Q: Let C be the positively oriented circle x? + y? = 1. Use Green's Theorem to evaluate the line integr...

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Q: 8z Find at (2, -2, 1) if By z' +y +z2 = 6xz +6yz +21 eej49 1.

A: Given x2+y2+z2=6xz+6yz+21

Q: (-1)*+12nx" Σ Determine the interval of convergence of n2 + 3 n=1

A: This is a question from the series.

Q: Revenue functions C(q) = q° - 9q + 56q + 5000 and R(q) = - 3q + 2500q, wha narginal cost would be $ ...

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Q: Find the function y, of t which is the solution of 49y" + 14y'-35y = 0 %3D with initial conditions Y...

A: Introduction: The general solution of a higher order linear homogeneous differential equation is obt...

Q: c) Let g be a decreasing continuous function on [0,1], assuming the values g(0) = 1 and g(1) = 0. Sh...

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Q: Factor 5 + V3 in Q(/3).

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Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

A: A is 4×5 matrix with rank A =3.  

Q: t(n) = 7t(n-1) - 6 What is the smaller root (the root with smaller value) of the characteristic po...

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Q: Find the general solution of the differential equation y" – 10y + 106y = 0. NOTE: Use c, and cg as a...

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Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: 2 Find an orthogonal basis for the space spanned by 4 and

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Q: A train has one engine and six train cars.  Find the total number of ways an engineer can arrange th...

A: Solution:-

Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

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Q: 1: Using the bisection method, find the smallest positive root for the function f(x) =x*-3sinx+1. (8...

A: Using bisection method , find the smallest positive root for the function f(x)=x4-3sinx+1 such that ...

Q: Find the function y, of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions Y1 (0...

A:

Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

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Q: (a) Use the definition of continuity to show that the function Jx, if æ is rational 10, D(æ) = if x ...

A: Definition of continuity: A function f(a) is said to be continuous if 1. f(a) exists2. limx→af(a) ex...

Q: Which of the following is correct? A. O log n EO(Vn) B. O vn EO(log n) C. O log n €O(Vn) D. O log n ...

A: We know the expansion of log (1+n)  We replace the n in the expansion by (n-1). And we get the expan...

Q: dy 1. Let c be a constant and consider the differential equation = x² + cxy + y². What is the dx com...

A: We will use the basic knowledge of ordinary differential calculus to answer this question properly, ...

Q: Q7. Find f(3) for x 0 1 2 4 5 6 f 1 14 15 5 6 19 a) By Newton's divided difference formula b) By Lag...

A: The value of table for x and y: x 0 1 2 4 5 6 y 1 14 15 5 6 19 Here, we shall find the value...

Q: 1. The formula for a lincar transformation T is given below. Determine if the transfor- mation is on...

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Q: For a certain company, the cost for producing a items is 40r +300 and the revenue for selling x item...

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Q: Use logarithmic notation to represent the solution to each of the following equations. If there is n...

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