Q2/ Find the Fourier series to represent the function f(x) given by: -1 for 0-1 f(x) = 0 for +1 for - 1

Q: Use the table below to fill in the missing values. x f(x) 0 6 1 7 4 9 3 1 2 5 23456 7 8 8 0 f(1) if…

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Q: is Fill in the following blanks: (( = 3x² cos 5x), 5) By using the method of undetermined…

A: We need to complete the given fill in the blanks.

Q: Find the value of the following derivation y = x ln x sin x

A: use the product rule for finding the derivative.

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

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Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b…

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Q: [1 0 4 1 -4 Let A = 2 k 6-5 Find the values of k for which A is invertible. O Ais invertible ifk #…

A: For matrix A to be invertible, Determinant of matrix should be non-zero.

Q: In a survey, 90 high school students were asked if they are currently enrolled in Biology or Social…

A: Here we have to find the number of students who are enrolled in social science.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Let A be a nonempty subset of a bounded set B. Why does inf A and sup A exist? Show that (a) inf B ≤…

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

A: We need to solve D.E.

Q: (e) dy = separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of…

A: Let's solve for diffrential equation.

Q: Find the area of the region enclosed by the curves y=x²-7 and y=9. The area of the region enclosed…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Let M= 1+ln(x) +y/x  Then dM/dy= 0+0+1/x= 1/x  Now let N= -4+lnx (after transposing to left side)…

Q: 3. arctan[2 cos()] is equal to: 2

A: Solution :. Given that

Q: this problem, x = C₁ cost + C₂ sint is a two-parameter family of solutions of the second-order DEX"…

A: Given differential equation x''+x=0and   general solution  is    x= c1 cos t + c2 sin t

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: Use the subsitution t = tan(x/2) to transform the integrand into a rational function of t and then…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: whether the internal is convergent on Determine divergent Evaluate it convergent. 1 dx 3-SX

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Q: Calculus I Find the derative for each intervals.

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Q: Q13 If y = ln |cschx + coth x1, fnd dy

A: We can solve this as follows:

Q: find the X values if any at which f is not continuous State whether the discontinuities are a…

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Suppose that vectors and ware such that || = 5, |w| = 3, and the angle between them is 30°.…

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Q: Let Find M13 and C13. M13= i C13= i A = 8-2 3 9 0 0 -2 -9 7 5 -2 -9 3 7 1 -8

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Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: Determine if the sequence converges or diverges. If it converges, state the limit. an nsin = in 1.²1…

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Q: Find the area of the region enclosed by the functions. 6 3 y=x and y = 8x

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Q: Write an equation for a line parallel to y = y = - 2x + 3 and passing through the point (4,-6)

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

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Q: Graph the line with slope -4 and y-intercept - 1. 8 + 2 2 ܠܝ

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Q: Find the limits If it exist Lim X—>3 X-3/ square root x - square root 3

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Q: Find all the x-intercepts and end behavior of f (x) = x3+ 4x2+ 4x.

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Q: Find an equation for the tangent plane to the surface z = 3y^2 − 2x^2 + x at P(2, −1, −3). Express…

A: Let's find equation of tangent plane.

Q: Which of the following is a graph of F = (1, 0, 0)? O

A: To find out the correct option.

Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

Q: For #s 7-8. Choose from the given options the slope of the curve at the given point. 7. y = x² +…

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Q: What is f'(x) given the integral function f(x) = 5x+1 cos(e") du? ○ f'(x) = 5 cos (e5x+1) • ƒ'(x) =…

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Q: Evaluate the integral by integration by parts: TT √3 x² cos x dx

A: To evaluate the given integral by using integration by parts.∫0π2 x2 cos x dx

Q: B: Solve the following differential equation by Laplace: d² y + 2x + 5y = e-¹ sint et dx² dx ,y(0) =…

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Q: (c) (x + 1) = -y + 5 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli…

A: we have to identify which type of given differential equation is

Q: Question 8 of 9

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proport lead to decay? (Round your answer…

A: Let  at time t amount of radioactive istope is  A(t)

Q: A candy box is made from a piece of cardboard that measures 45 by 24 inches. Squa

A: Given: A candy box is made from a piece of cardboard that measures  45 by 24 inches. Squares of…

Q: Question 2. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

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Q: Find the derivative y by implicit differentiation 4xy2=5x+8

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Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

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Q: If h(x) = x(2x + 7) 4(x - 1)², find h'(-3).

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