£ { c cos 10x

Q: 2. Find each indefinite integral. Show all steps. of si a) sin²(6t) · cos5 (6t)dt

A: As per the Bartleby guidelines, answering only first question because the other questions are not…

Q: Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D…

A: we need to graph the polar coordinates and have to label them.

Q: Which of the following is a possible conclusion based only on the Alternating Series Test? ∞ n=1 n=1…

A:

Q: Question 9 Which of the following is the complete set of roots of the auxiliary equation…

A: We need to choose correct option.

Q: 3. Decide if the given sequence {a} converges, or diverges. If it converges, determine the limit of…

A: If the limit of the sequence at infinity is finite then sequence is convergent.  If the limit of the…

Q: When f is the function defined by 2x - 5, x ≤ 1, 1, f(x) = S 5x 52 – 9,

A:

Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

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Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

A:

Q: Find the volume formed by rotating the region enclosed by: x = 7y and y³ = x with y ≥ 0

A:

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: Evaluate the following integrals analytically: Cπ/2 #1 #2 (8 + 4 cos x) dx •3 [² (1 - e- x) dx…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x5, y =…

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Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

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Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: A window is being built and the bottom is a rectangle and the top is an equilateral triangle. If…

A: total perimeter of the section( P ) = perimeter of rectangle + perimeter of triangle let width of…

Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: Compute [In(4)/3 @3x (@3x + 6)³ dx.

A: To evaluate the given integral

Q: solve the equation y' = 1 + 3ytanx

A:

Q: If a 180-mile trip took 7 1/2 gallons of gas, how many miles can be driven with a full tank of 14…

A:

Q: REVIEW 7. Find the resultant geometrically. u V-

A:

Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Solve the following

Q: Find the arc length of the polar curve, r = e30 from 0 = 0 to 0 = 2

A:

Q: The fox population in a certain region has an annual growth rate of 5 percent per year. It is…

A: Given: Fox population in year 2000, P1=13200  Annual growth rate, r=5%

Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

A: The marks scored by 10 students out of 75 are given as 3, 30, 10, 13.9, 41, 56, 30, 71, 30, 13.9,…

Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

A:

Q: the a

A: The solution provided is correct.

Q: Which of these vector fields are irrotational? Identify all of those that satisfy this property. A B…

A: The given vector fields, A) u=-x, y, 0B) u=-y, x, 0C) u=-x, z, 0D) u=x, y, z We have to find the…

Q: Expand, that is, perform the indicated operations on the differential operator D 1. (2D+3)(D-5)

A:

Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: Evaluate the integral: 2₂4-2² J O*[] π 2 [1-4] 021-]+0 O O 4T e4 dydx -√4x² ex²+y² +C

A: To evaluate the following integral.∫-22∫-4-x24-x2 dy dxex2+y2

Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: y'"' − 3y" + 3y' - y = 0 -

A:

Q: ΔΔΔΔΔΥ Στο 1-0 DE ६ η + 3η + 2

A: Sum

Q: 1. Solve for G.S. () 24" + 184 = 6 tan 3x

A:

Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: he altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is…

A:

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (2) Σ…

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Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

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Q: A supply function has the equation is p = · -q²+20, and the demand function is decribed by the…

A: for equilibrium point  supply and demand are equal there for  12q2 +20=86-6q-3q2

Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

A:

Q: ind the area between y = 12 sin (x) and y = = 12 cos (x) over the interval [0, π] Jse decimal…

A: Point of intersection⇒12sinx=12cosx⇒tanx=1⇒tanx=tanπ4⇒x=π4

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: The given curves are: y=ex,     y=0,     x=-1     and     x=1

Q: 5. Given A(1, 2), B(4, 9), and C(-4, 8), find the measure of ZA.

A:

Q: Evaluate the definite integral. 3   0 ex 5 + ex dx

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Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0 0+

A: Given differential equation ( sinθ - 2rcos2θ )dr + rcosθ( 2rsinθ + 1 )dθ = 0 standard form Mdx + Ndy…

Q: (x) = 7 sin(x) + 7 cos(x),    0 ≤ x ≤ 2? find concave up and down

A: Find the concave up and down of the function  f(x)= 7sinx + 7cosx , over the interval [0,2pi]

Q: Calculate the integral approximation Se for √₂ 741 dx. S6 =

A: