The function (f) is defined by: F(x)=x² if xe[-^;^] (i) Give the graphical representation of the function (f) for x=[-4; 4n]. (ii) Give the parity function (f). (iii) Determine the Fourier series of the function (f). (iv) Calculate the exact value of the signal strength. (v) Determine the percentage of error made using the approximate value for the signal strength. Harmonics with rank less than or equal to 100 will be used for the calculation of the approximate value.

Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: I have stated the used formula in the solution

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A: The objective of the question is evaluate the definite integral and choose the correct option.

Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: follow next step

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A:

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A:

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A: from graph  stationary point: point of function is a point where the derivative is equal to zero .…

Q: (b) n 1+ (x-1)"; r=1/e Σ(1-1) η n=1

A: Here, the given series is: ∑n=1∞1+1nn2(x-1)n Let, an=1+1nn2(x-1)n; n≥1

Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

A:

Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

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A: Here we have to the differential equation.

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A: To solve the given differential equation.2y'''-7y''+12y'+8y=0

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A: This is a problem related to derivative of the function. Based on the general formula and concept we…

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A:

Q: 1. A parallelepiped is defined by vectors à = (2,-5, -1), b = (4, 0, 1), c = (3,-2,-2). What is the…

A:

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A: f(x) = 6-x , c= 5 f(x) = (x2 + 2x)/(x2 + 5x+6) , c= 0 here for check contineuty  satisfy this…

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A:

Q: 10. f(x, y) = x/(x² + y²)

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A:

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A: The given integral,        ∫π3π43sec2x+4csc2xdx

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A: Let's evaluate given integral by using tabular method.

Q: $500 at 5% compound continusouly for 11 years. Round to the nearest cent

A:

Q: 2. Find the value of 1 3x + 13 x² + 4x +3 dx

A: We can you valve the given definite integral by using the partial fraction method.

Q: All exponential functions can be written in many forms. Write the function -0.08t f(t) = 340e- in…

A:

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: Solve the initial-value problem. (Use t as your independent variable.) P' = 7P(1 − P),      P(0) =…

A:

Q: Calculate the partial derivatives at (T, U, V, W) = (4, 1, 5, 10). (Use symbolic notation and…

A: We can find the partial derivative of the given expression .

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A: Given ∫0π∫01x2sinxydydx

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A:

Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) n = 4, c = 2 +2² P4(x) = = =

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Q: B. Solve the following integrals. 즈 2.) fevdxdy

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Q: 1.₁-1/dt 2. -1 -2es-1ds

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Q: The linearization at a = 0 to √8+7e is A + Ba. Compute A and B. A B= || ||

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Q: a. Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 2, -4, and 3…

A: Here we will find all equations,

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A: Given.

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Q: C 10 A 3 2- 1 1 2 3 4 To find the blue shaded area above, we would calculate: [1(x)d f(x)dx = area…

A: As shown in diagram, lower limit is 1 and upper limit is 2, Therefore a=1b=2

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A:

Q: y = cos((pix)8)

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Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

A:

Q: Figure out the generated volume of rotation the region surrounded by = 4x² and y=4x about X-axis.

A: find intersection point

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: -2, if x < -1 f(x) = (x + 1, if x ≥ −1

A:

Q: 5. y + 4y= sin x + 3 cos x Ans: y = C₁+C₂ cos 2x + C3 sin 2x + sin x x-co COS X

A: To solve the given differential equation.y'''+4y'=sin x+3 cos x

Q: 7. f(x, y) = √x² + y²

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

Q: 1. 2y7y"+12y + 8y = 0

A:

Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A:

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.