p cos (x + y) + q sin (x + y) = z

Q: a) evaluate Rx²ydA where R is the planar region bounded by x=1, x=3, y=x and y=2x+1 b) compute…

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Q: Investor Dan has $758,000 to invest in a CD and a mutual fund. The CD yields 4.2% and the mutual…

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Q: In each of Problem, find a fundamental matrix for the system with the given coefficient matrix. 1 5…

A: Given matrix is 150010481 Take  A = 150010481

Q: ordinates to find the volume

A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: with examples, many ways that a sequence could diverge

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Q: Let a, b, c E Z. show that ca & cb if and only if c (a, b).

A: Division properties are used to prove it

Q: Solve using Power Series Centred Around Zero. (x² − 1)x²y" — (x² + 1)y² + (x² + 1)y= - - = 0

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Q: Solve the eigenvalue problem X"(x) - XX(x) = 0 X'(0) = 0, X(1) = 0. 0 < x < 1,

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Q: Q4 Here are some vectors. -2 Now here is another vector: 4 Is this vector in the span of the first…

A: We have to check whether the vector v=14-2 can be written as the linear combination of the given…

Q: 8. Which line does not lie on the plane r = (1,5,0) + s(2,-3,1)+t(1,−1,4), s,t € R? a. V = (1,5,0) +…

A: To Find: Which of the given lines does not lie on the plane r = (1,5,0)+s(2,-3,1)+t(1,-1,4) where…

Q: Find the cardinal number for the set given below. {x|x is a continent whose name begins with the…

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Q: oblem 5. Let P, be the vector space of all polynomials of degree 2 or less, and let ♬ be the…

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Q: (b) Find the differentiation of tan 4√√x 1-4x

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Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: Given that outside temperature over a day can be modeled as a sinusoidal function. Suppose you know…

Q: 5. Interest rate. A 2-year loan of $4650.25 accumulated $269.75 in simple interest. Calculate the…

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Q: Construct a triangle ABC having AB= 75 mm, angle ABC = 45°, and angle BAC = 60°. Without measuring…

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Q: Sketch and shade the region bounded by the curves y=√x and y=x³,then determine the volume of the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: QUESTION 3 How many votes are needed for a majority winner if there are 35 voters? OA. 17 OB. 17.5…

A: If there are total 35 voters .

Q: USING Laplace's transform, solve: +∞ Cos (7x) dx X²+25

A: Introduction: Laplace transformation has a wide range of applications in different fields of…

Q: All of the infinite series below diverge. Which one may we conclude diverges by the "nth term test?”…

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Q: L-1 { s-1 (s² +9) Find laplace inverse.

A: To Find: Laplace Inverse i.e., ℒ-1s-1s2+9

Q: 12 or younger 13 or older Total Signed waiver 10 8 18 Did not sign waiver 20 12 32 Total 30 20 50

A: Let A and B are two events, then;  P(A∪B)=P(A)+P(B)-P(A∩B)

Q: 3 Do not use a calculator in this question. The polynomial p(x) is ax³-4x²+bx+18. It is given that…

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Q: 2. Standardize the following LP model. max z = −3x₁ + 8x₂ − x3 + 12x₂ - 3x₁ +8x₂ + 3x₂-3x4≤5 2x₁ -…

A: The linear function that needs to be optimized is called the objective function. The system of…

Q: Can a radical function be used to predict future prices of gasoline? Why or Why not? Elaborate using…

A: Radical functions contain the square root. And we cannot treat the functions with square roots just…

Q: 5. Interest rate. A 2-year loan of $4650.25 accumulated $269.75 in simple interest. Calculate the…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

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Q: 1(x) = 1 (x)= 0, −1 < x < 0 -1 1, 0<x<3 0, 0,5 < x < 0 x, 0<x<0,5

A: The given function functions are        (i) fx=0,   -1&lt;x&lt;01,       0&lt;x&lt;3 and      (ii)…

Q: 3. Show all your steps to evaluate 3 -0.5 -2 -2 a) 16 (16)² + 2² - (²) ² - b) +3

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Q: Two groups of hikers leave the same camp heading in opposite directions. Each group travels 3 km,…

A: Consider the given information and make the diagram as follows,

Q: Estimate the area under the graph of f(x) = x + 3 over the interval [ - 3, 1] using eight…

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Q: 1 (i) Show that 2x-1 is a factor of 2x³-5x2 + 10x -4.

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Q: At a price of $2.23 per bushel, the supply of a certain grain is 7200 million bushels and the demand…

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Q: et P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

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Q: 6. Given the function ƒ (x) = x² + x − 3, find f (x + 1). 7. h(x) = 2x+ 1, find h(3) 1 8. Given f…

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Q: Solve the system of linear equation: ix1 - ix2 = -2 2x1 + x₂ = i

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Q: Q₁: Which of the following are always true, and which one are not (for five only)? Give reason(s)…

A: Answer with explanation

Q: a. Using Laplace transformation evaluate sintx x(1+x²) dx

A: Given the expression ∫0∞ sin txx1+x2 dx we have to use Laplace transformation to evaluate.

Q: 1) Given F(x, y, z) = x³ i + 3yj - z4 k and the curve C parametrized by r(t) = (sint, cost,t), te…

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Q: Determine the following estimate without using a calculator. Then use a calculator to perform the…

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Q: (c) Explain the Bisection Method to compute a real root of f(x) = 0 and find the condition of…

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Q: A consumer's behavior is described by the equation Y₁ = C₁ + St where Yt, Ct and St stand…

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Q: 8. Let f(x, y) be a cost function with two parameters: x and y, and f(x, y) = y³x²y² + y + 3. For…

A: Given the function  fx,y=y3-x2y2+y+3and xold=1, yold=0, ε=0.01

Q: Partial Derivative: Determine all the partial derivatives of the following unless otherwise…

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Q: A group of 12 students have to decide among three types of pizza: sausage (S), sushroom (M), and…

A: according to question, a group of 12 students have to decide among three types of pizza: sausage (S)…

Q: Determine S10 for the series 200 +100 + 50 +....

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Q: Find the Maclaurin series for f(x) = ex+x² using the familiar series. Then use the results to…

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Q: Check whether these statement are consistent or not: a. ¬(p Vq) and (pq) b. rqAr and ¬(qV¬r)

A: Introduction: Two propositions are referred to as consistent when their truth values are same at…

Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: Murphy Five friends each knit one part of a scarf that is 1 5/12 yards long. Write a combination of…

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