Consider a point in Cartesian coordinates given by (3√√/3, −3, −8). (a) Find a corresponding cylindrical coordinates.

Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

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A: Using vertical element form a double integral then solve it

Q: For each system in Exercises 1 and 2, (a) find the general solution; (b) determine if the origin is…

A: Answer is in next step

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A: All answer is given.

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A: We have to find daily output to obtain a maximum total profit

Q: Laplace and Inverse Laplace Transform Please show clear and complete solutions and choose the best…

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Q: Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y =…

A: Given :y=x3+2x2-6x+5line : 2x+y=4

Q: Evaluate Limx→13 x²-1 O a. infinity 5 O b. 2 O C. 0 O d. none of these O e. 2²/33 25

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Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0 using a vertical element

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Q: Consider the function. f(x) = x-1 x + 8 Step 2 of 2: Determine the open intervals on which the…

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Q: Consider the following differential equation: dy : 2xy² dx i. Use the method of separation of…

A: using method of separation

Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

A: We have to choose the correct option from the given options according to the given information

Q: 2 So ² ( x 7²2)² Using Trapezoidal method Blank 1 Add your answer -dx for n=4 is equal to Blank 1…

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Q: 12

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Q: The region bounded by y = cos x - 1 and the x-axis in the interval 3πt ≤x≤³ is revolved about the…

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Q: Determine the derivative of the following imp of paper, assuming that it is differentiable.

A: given is x+y3=2c(xy4)differentiating both side with respect to xdxdx+dy3dx=d(2c(xy4))dxusing product…

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

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Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right- circular cylinder.…

A: Given problem:- A closed wood storage having a volume of 27 in³ is to be in the form of a right…

Q: Consider the following. u = 2i + 8k, v = 7i + 3k (a) Find the projection of u onto v. (b) Find the…

A: This question is related to vectors, we will solve it using given information.

Q: Evaluate the integral: S dx (x+6)(x-4) ← +C

A: Given problem:-

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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Q: lim (x,y)→(1,1) O -1/2 O Limit DNE O 1/2 O 2 (4x - 5y) 5x² – 7y

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Q: ·S Evaluate x 1/2 dx + using rationalizing substitution. x2/3

A: Topic:- application of integration

Q: If w = 2x² - 2y + 3z + sint and x-y=t, find the partial derivatives below. aw a. (3) X.2 c. (H) b.…

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Q: 3x [10 points] Consider the initial value problem √2y+2+³ª, where y(2)=1. Use the dy dx modified…

A: Given

Q: Given cos(8): = B 5 and the terminal side of 8 lies on the fourth quadrant. What is the value of sin…

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Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x 07 s.u. 9 9 s.u. 01 S.U. 2 S.U.

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Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

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Q: A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural length of 10…

A: Given problem:- A force of 3.0 pounds is needed to stretch the spring to 1.0 ft. from its natural…

Q: 3. Let R(t) = (t²,1 — t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Given

Q: Evaluate d³yd¹y + dx5 dx4 - 6 d³ y dx³ = 0 =

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Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis TT b is…

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Q: Find dy if: y = ln(x + √x² + a² a. none of these O b. 2 √x²+a² 1 √√x²+a² 5 x-a 2 √x+a O C. O d. O e.

A: Given that y is

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: Explained below

Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: - Find the value of x of which the function f(x) = O a. none of these O b. 1 OC -1 O d. -3 Oe. 3 2-8…

A: Given:f(x)=12x-8

Q: iven that x = sin-¹-3). what is the exact value of cos(x) A 10 3 √10 B 3 2√2 3 Ⓒ ²√² D

A: Given query is to find the value of cos x.

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: Evaluate the following double integral over the given region R. 11 2 ln(x + 1) (x+1)y Use…

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Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

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Q: Find the measure of an angle between 0 and 2 π that is coterminal with m(0) = 7 T A 4 B D TT 4 5 f 4…

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Q: et A street light is at the top of a 13 ft tall pole. A woman 5 ft tall walks toward the pole with a…

A:

Q: The circular ring method is to be used to compute the volume of the solid generated by revolving the…

A: Solution is given below:

Q: consider using rational

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Q: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

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