Evaluate the given Mtegral y ehanging f2x°ydĂ, uneve O is the top half of the disk the polar cardinates nalf of the dish ith Centerhe origin and radtus 5

Q: Find the speed over the path r(t) = (sin(3t), cos(6t), cos(3t)) at t = (Use symbolic notation and…

A: The path r(t)=sin(3t),cos(6t),cos(3t) at t=π2

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: x = xyln (y) – y² xy ln (x) – a² dy dx Option 3 O None of the choices dy dy dx dx x2 Option 2 Option…

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Q: 2х + 3 dx x² + 3x

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Q: 4. Find y' * 2 (x – y)² = sin x + sin y

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Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

A: x2-9x+207x3+19x2 =x2-9x+20(7x+19)x2x2 can not be further simplified !!Because (x)2 has an exponent…

Q: Find all the rational zeros of the function f(x) = 2x - 9x4 + 9x³ - 3x² + 7x + 6. -1, 2 x = 을 3,2 x…

A: Roots satisfyf(x)=0f(x)=2x5-9x4+9x3-3x2+7x+6f(-1)=-24f(1)=12Options, A and E ruled…

Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: S(t)=300etAverage weekly sales =13-0∫03300etdt                                 =13300(e3-e0)…

Q: In Problems 17-20, find the indicated values of f(x, y, z) = 2x - 3y2 + 5z - 1 19. f(6, -5, 0)

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Q: x³ – 36x 20

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Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: For vectors i : onto v. and w = calculate the scalar projection of w %3D comp;w (Give an answer…

A: scalar projection of w on v is =v.w|v||w|compvw¯=…

Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional…

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Q: Type the correct answer in the box. Use numer. What value of x satisfies this equation? log,6r – 8)…

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Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

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Q: "ind general solution for dy dy + 3 + 2y = -20 sin 2t, y (0) = 2, y' (0) = 1. dt2 dt

A: Ode

Q: What is the angle between the diagonal of a cube and one of its edges? • Hint Angle = radians (Give…

A: Solving

Q: xY = 5x+6y + 2 4. X'y %3D e

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: Let z(x, y) = xy where x = r cos(20) & y = r sin(30). dx dy ду az & dr az Calculate by first finding…

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Q: 47. Minimum material. A rectangular box with no top and two parallel partitions (see the figure)…

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Q: Exercise To Try 7 Let f(x) = V. Estimate the area A under the graph y = Va between a = 1 and b= 4…

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Q: Find the area enclosed by the given curves (using applications of definite integrals).

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: (2) use tue limit Couperisen Tert to defermine tue canleryencl or divergence of tud series Ź 3 sin…

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Q: The value of the integral 1 2 x²y° dy dx is: 2..3 1

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Q: уз dy S 1+9y2 3.

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Q: State whether the following numbers are rational or irrational. a) V4 + 7/2 b) V36 c) V11²510716

A: We have to find if the numbers are rational or irrational.   According to our guidelines we can…

Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: 25x at P(5,0) in the x + y Find the directional derivative of f(x, y) direction of Q(2, –2). NOTE:…

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Q: 2sinx if 2 sin x %3D what is u?

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Q: Let a = (4, – 5, – 4) and b = (4, 3, k). Find k so that ā and b will be orthogonal. k =

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Q: 7-x 17) dx

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: Free-Falling Object In Exercises 37 and 38, use the position function s(t) = -4.9f + 250, which…

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Q: B C 13 a.) Find LA 11 33 D A

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Q: Find the sum of the series. 2n n-D0 03 01 06

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Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: Question Suppose that the length I, width w, and area A = lw of a rectangle are differentiable…

A: l=7 , w= 9A = lw differentiate w.r.t tdAdt=l dwdt+ wdl dt

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

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Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

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Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

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Q: u = 7i + 5j + k v = i+j+ 8k w = i+ 2j + 5k nd the volume. i

A: Given query is to find the volume.

Q: (2x – 1,x < 0 a,x = 0 0. Let f(x) = x+b Find, if any, a and b such that fhas limit for all x but not…

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Q: y = f(x) A) -5 B) 5 C) 3 D) -3

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Q: Make a sine wave model of a musical note with a frequency of 340 cycles per second. Use an amplitude…

A: Find your answer below