Given angle PSR is 90 degrees. calculate the sum of x and angle QSR in degrees. [Image 12 28 65° O 56 O 130 O 93 74 O 65 %2.

Q: £{3e * sin?t} 6. L{te 3t cos 2t}

A: To solve given question we use the property of Laplace transform and solve.

Q: 3 (x2 За + 2) dx 2

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Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

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Q: Consider p> 2 a prime number, justify that: (P,') = (-1)" (mod p) to any 0 sn sp- 1,n EN. 1.1 1.2…

A: In the given problem we use the definition of combination. Then the problem is solved by…

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Q: Question 2. space is the union of a finite number of closed balls radius e. Prove that a metric…

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Q: Q2: Use the Gauss-Seidel method to obtain the solution of the system (Two Iteration) 3x1 - = 7.85 0.…

A: To find- Use the Gauss-Seidel method to obtain the solution of the system (Two iteration) 3x1 -…

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A: We use the ILATE (Inverse, Logarithmic, Algebraic, Trignometric, Exponential) rule to evaluate the…

Q: 9. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?

A: Given: A class consists of 32 girls and 18 boys.

Q: Suppose we know the number pi is irrational. Explain how we know that the number pi plus 2 is…

A: All of we know that Sum and Difference of two Rational number is also Rational. Here Supposing pi is…

Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

A: Please comment if you need any  clarification. if you find answer useful please put thumbs up. Thank…

Q: For the differential equation y' + 14y + 49y = sin(7x) Part 1: Solve the homogeneous equation The…

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Q: I Example 10.23. Given dy x?(1 + y) and y(1) = 1, y(1.1) = 1.233, y(1.2) = 1.548, y(1.3) dx = 1.979,…

A: We can solve this question using Adams bashforth method

Q: Home Work 1: Find the Fourier series for the periodic extension given below: x(t) = { t€ [0,2] t€…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Example 10.20. Using Milne's method find y(4.4) given 5xy' + y2- 2 = 0 given y(4) = 1, y(4.1)% 3…

A: Given that 5xy'+y2-2=0 and xi 4 4.1 4.2 4.3 yi 1 1.0049 1.0097 1.0143 Find y4.4 using…

Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

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Q: 15. (a) Given f (x) = x (x² – 1) (x² – 3), prove that the equation f'(x) = 0 has four distinct real…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: R+j@L anc

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Q: Find the area V2 centered a) Inside the cardioid r= 2 cos (0/3) and outside the circle of radius r =…

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

Q: 3. Let the curve C be traced by the vector-valued function R(t) = cos(zt) î + at j+ sin(rt) k. %3D…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Given data net velocity (v) V=x-y, z+y+9, z2 net equation  y=1-x2-z2   , y≥0 find  ∫∫sv.ds= ? in…

Q: 1. Find the nine roots of -256 – j256/3 . 2. Find all the roots of f (z) = 226 + 81/3 – j81

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Q: Solve: dr = b (cos 0 dr + r sin 6 de)

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Q: Let ~ CX *X be an equivalence relation on a set X. For x EX define x := := {x |x E X} is a partition…

A: This is a question from Relation.

Q: FIGURE P1-8 80 a b FIGURE P1-9 Determine angles a, b, and c (Figure P1-9).

A: Vertically opposite angles are equal. Now, in the given figure 80° and angle a are vertically…

Q: Obtain graphically an approximate value of the lowest root of cos x cosh x =- 1.

A: The equation cosxcoshx=-1 regulates the frequency of vibration of a cantilever. We must first…

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A: To find the sum of the given series :-

Q: 4. Find a particular solution of y" + y' = cost cos 2t cos 3t.

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

Q: Can you please identify the splitting field of (x3 + x2 + 1) over Z3.  Write the addition and…

A: Given,Polynomial: (x3+x2+1)We need to identify the splitting field of x3+x2+1 over Z3.To draw the…

Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 – 2x. O A. $142.00 O B. $152.00 OC. $166.00…

A: Given  C(x) = 10 + 56x p = 92 - 2x

Q: Utensil Limited deals in the production of cups and bowls. The production requires machine and…

A: Machine hours per unit labour hours per unit Cups 4 3 Bowls 2 2

Q: Use Maxima to plot the parabola given by y = x² – 3x + 7 and the circle x² + y? – 4x – 20y + 80 = 0…

A: Consider the given equation of the parabola, y=x2-3x+7 the vertex is at 5,4.75 and at x=0, y=7.…

Q: f birth? (Use a calculator when necessary) day: month: year (two digits only): my birth date is…

A: To find the age when the date of birth is given as 2nd of  June 2001 We calculate the age from the…

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

A: Given function and region is z=fx,y=xyR=x,y/1≤x≤7,5≤y≤9

Q: Find the square root of 2 (up to 9 decimal places). Using Bisection Method

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: . There are seven finalists for the Math contest, and medáls Will be giv many ways are there for the…

A: The act of organizing items or numbers in order is known as permutation. Combinations are a method…

Q: Find the maximum profit P if C(x) = 10 + 56x and p = 92 - 2x. O A. $142.00 В. $152.00 O C. $166.00 O…

A: Here we have to find maximum profit.

Q: Q2/Find the basic solution for the following (T.M) by using (least cost method), then find the…

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Q: A property owner wants to fence a rectar next to the road must be sturdier and cos per foot. The…

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Q: (a) Define f : R × R→R×R by f(x,y) = (2x – y, x – 2y). Prove that f is one-to-one. Describe f-1.…

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Q: Solve the initial value problem for the heat equation with time-dependent sources au = k+ Q(x, t) at…

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Q: Find the matrix A if 3 1 4 A = 11 00

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Q: I. Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, ..,…

A: Solution 1) There are twenty numbers in the set. Out of which 10 even numbers and 10 odd numbers.…

Q: 5 + 5x – 4) dx

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Q: d. Find the transition matrix from C to B. P = B-C e. Find the coordinates of u = (-2, –1) in the…

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Q: 9. : (y²dx + x²dy) = 0 (x – y)²

A: