3. What value of k will make the line with symmetric equations - (1,−1,3)+s(3,2,2) p vector equation 젖뽈 2-3 k-1 be the same as the line with

Q: О к The area of the bounded region below is ec x2 C X²

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

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Q: Find the direction cosines of the vector (4,-8,-8) 8 8 O cosa = 4 12 cosß cosy= 12 12 8 cosa = √12…

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Q: Consider Mean Value theorem for derivative for function f(x) 4(1-2x) in interval [0,1]. TCOS(TX) -

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Q: A line segment has (x₁, y₁) as one endpoint and (xm, Ym) as its midpoint. Find the other endpoint…

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Q: Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on…

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Q: (B): Find the integration by using substitution method fx √2x-1 dx

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

A: Given :y=csc(u)Proved

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Q: Find the Mass, Moments along x and y, Center of Mass, and Moments of Inertia of the region bounded…

A: The given region is bounded by x+y=2, x=0, y=0 as shown below: The region is given by R=x, y:…

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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: 7. S d.x 25x²+36

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Q: 10e²x When x = 0, y = 0, y' = 0 9. (D2+1)y= Ans: y=-2 cos x-4 sin x + 2e2x

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Q: Find an antiderivative F(x) of the function f(x) = 5√√2-7 such that F(0) = -6. F(x) = 5. Now, find a…

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Q: Find the derivative of y= 25 + 14.

A: Topic = Derivative

Q: USING APPROXIMATION METHOD FIND THE INTEGRATION OF THE FOLLOWING PROBLEMS: Use at least 6 decimal…

A: Given :∫-24sinx2+2dxn=6

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Q: 2. If function f(x) = 3²-12 is continuous at x=2, find f(x). x-2

A: We need to find f(x).

Q: th which of the following is a Maclaurin series of ) _5. Given the Maclaurin series e* = Σn=0. pr…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Tutorial Exercise Calculate two iterations of Newton's Method to approximate a zero of the function…

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Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Given :y=3sin5x-2cos5x    To prove : y''+25y=0

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 .

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

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

A: We have to evaluate the given integral.

Q: Find the Fourier series for the periodic extension given below: 1, x(t) = t = [0,2] te [2,4] (-1,

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Q: Find the value of b for which the differential equation (yebry + x) dx + (bxexy) dy = 0 is exact,…

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Q: The position of a particle moving along a straight line is given by the function S(t) = 2sint +…

A: st=2sint + cos2t   ,where scm , tsect∈0,2π------------------------To find:    Basic information:…

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

A: The area of the surface obtained by rotating the curve y=f(x) from x=a to x=b about the x-axis is…

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: Fill in the blanks. (Enter the domain in interval notation.) Function Alternative Notation Domain y…

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Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

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

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Q: Jse the definition of derivative to find f'(x) where f(x)=√x

A: Given,  f(x)=x

Q: Solve the differential equation by the method that you think is most convenient.   (y + √(xy)) dx -…

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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: 4. Letf(x)=x22/5 - 19x². Determine the largest n for which fis n-times continuously differentiable.

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Q: What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

A: As per the instruction, we will be answering the first question. For (12), Given: Now, we will find…

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A: Given function has vertical asymptote

Q: 3x · Se³ª sec e³ª tan e³ dx

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Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

A: The objective of the question is evaluate the definite integral.

Q: Find the derivative of each of the following functions:- log₂ x 2. y=- X

A: Given problem:- Find the derivative of y=log2x/x

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A: We have to find out determinants

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A: We have to write the function in required form.

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Q: Use linear approximation to approximate the value of 65 without the need for a calculator.

A: This question can be solved using the concept of linear approximation.

Q: differentiate 3thetacos(2theta)+2sin(2theta)

A: A detailed solution is given below.

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

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