1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: 80 80 (20) If the graph of the function f(x) is stretched vertically by a factor 2 and then…

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Q: Sketch and find the volume of the solid obtained by rotating the region bounded by the given curves…

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Q: Find Df,Rf/f(x). X 3 √x + √ X

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Q: 8. find the given general differential solution, using homogeneous equations with constant…

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Q: Find the vector 2u-5v where u = and v= Find the dot product of vectors p= and q = Q3: Find the unit…

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Q: (a) L ·∞ e-x² dx

A: In this question, we want to write the given improper integral in limit form.

Q: 4 Find the average value of f(x,y) = (+√y) where 0 ≤ x ≤y and 0 ≤ y ≤ 4.

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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…

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0 < x≤1, 0≤ y ≤…

A: As per bartleby guidelines we only give first question answers.

Q: If the optimal solution to the problem of linear programming X₁ X₂ S₁ S₂ S3 SOL X₂ 0 1 1/2 -1/2 0 2…

A: Given

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

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Q: A: f'(√) = -2. B: f'(√) = -1. C: f'(√) = √√. D: f'(√) = 1. E: f'(√) = 2. If fr. 70 f(t) dt =…

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Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: T (b) fo 6 sin 20 cos² 20 ӨР

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

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Q: 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 27. a y=sin x by=sin 2x…

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Q: Solve the following differential equation by the method that you think is most convenient. (y +…

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

A: We nee to evaluate ∫t3-4t2+5t+32 sin(t) dt

Q: n. 3' 11. In each of the following, express the required series in summation notation.' (b) Find the…

A: Let's find taylor series of given  function  f(x) = sin(2x) at x = pi/6.

Q: I am stuck on the maximum and minimum values of y and corresponding x.  Will you please assist on…

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Q: Exercise (1-3): By Charpit method solve the following PDE

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Q: Find the values of a and b that make f continuous every ²-4 If x < 2 f(x) = If 2 ≤ x <3 ax² - bx + 3…

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Q: Find the point of intersection. 4₁:X-17 y-58 z-23 3 2 = 11 L2 x-49 7 N y-26 4 =z-15

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Q: H.W Find the taylor series of the following functions for the given points:- 1- f(x)= ln x a = 2

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Q: 6. Find the dimensions of a rectangle of the largest area that can be inscribed in a circle. 7. An…

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

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Q: 6. Determine a, b, c and d so that the curve y = ax3 + bx2 + cx + d so that the curve will have a…

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

Q: Set up the triple integral that will give the following: (b) the volume of the solid B that lies…

A: Let's find volume of solid.

Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

A: The standard form of the equation of a circle is x-h2+y-k2=r2 where (h, k) is the center of the…

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: 3 [₁³e- t³e-2t dt

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Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z…

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Q: Watch the video and then solve the problem given below. Click here to watch the video. Find a…

A: -1 as a zero of multiplicity 3, 0 as a zero of multiplicity 1 and 1 as a zero of multiplicity 1.

Q: Solve step by step the following problem (be clear please) XXXXXXXXX Calculate the roots of the…

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Q: 15.) X (2x+5) 2 dx

A: Indefinite integral

Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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

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Q: Solve the given initial-value problem. The DE is homogeneous. xy2 dy = y3 – x³, y(1) = 3

A: A detailed solution is given below.

Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

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Q: One car leaves a given point and travels north at 40 mph. Another car leaves 1 HOUR LATER, and…

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Q: = C₁e^ + c₂e^, (-∞0, ∞0); y" - y = 0, y(0) = 0, y'(0) = 5 ex- 25e-x X

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Q: A tank can be filled by one pipe in 6 hrs and by another in 8 hrs. If both pipes are open, how long…

A: Given problem:- A tank can be filled by one pipe in 6 hrs and by another in 8 hrs. If both pipes are…

Q: 8. Find the area in the first quadrant bounded by x = 0 using the most y=x², y = 2-x and appropriate…

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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

Q: find the volume of the solid obtained by rotating the region bounded by  y=2x+6, y=0, x=1, x=2 and…

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Q: (B) What function f(t) has Laplace transform: f(s)= s² + 1 s(s+s-12) 12

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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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