3. fe+tanx+(tan²x)+taxdx

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Create a question (using the Triangluar pyramid) related to vectors and then solve it. Don't make…

A: First we will frame a question and then solve it.

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

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Q: Which of the following diagrams represents the solution to this system of equations: [1 2 0 17 0 0…

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Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

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Q: Give a general solution of the differential equation y"—4y'+13y=4e¯5t .

A: To find the general solution of the given differential equation.

Q: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

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Q: By reversing evaluate LE O the order of integration double integral cos (x²) do dy LE

A: Hello learner we can answer first question as per the honor policy. Please resubmit other question…

Q: 2. Find the Taylor series expansion of f(x) = ln(3-2x) about a = 1. 2

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Q: What is the limx→5 5x + 2? 3 5 1 27 1 3

A: To evaluate: limx→5 5x+23 Let y = limx→5 5x+23 y = limx→5 5x+213

Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

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Q: 12. How much work is done by a variable force F(x) = (40 - x)N that moves an object along a straight…

A: Given that, the variable force is Fx=40-x N the interval is 4,20. Note that, the total work done by…

Q: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: 5. Identify and sketch the graph of y = x² + 1 in R³. M

A: y=x^2+1 x=0 y=1 x -3 -2 -1 0 1 2 y 10 5 2 0 2 5

Q: Find y' 1. 3x − y + (3x-y)5 = 100

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Q: Solve the problem using implicit partial differentiation. Show your complete solution. No shortcuts.…

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: Identify ALL the Indeterminate forms involved and determine the limit of: lim, 0+ (cos(x))*

A: We know that               cosπ2-x≤1=cosπ2-xx≤1x So, bt squeeze theorem,               limx→…

Q: Evaluate the surface integral [[ F.ds where F(x, y, z) = (x³ +y³) i+(y³+z³) j+(z³+x³) k S and S is…

A: We will calculate surface integral , use of divergence theorem

Q: y²-6x²y=-9x ; y' at (1,3)

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Q: A 1 lb sponge initially contains 5 lb of water. As it is lifted up from the ground, the sponge loses…

A: Answer is option d here decrement in water is linearly (as constant rate)

Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

A: We need to find integral.

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: dx What is , where dy' x³ + y³ = 3xyusing differentiation? implicit dx dy y-x² y² +x dx y-x y²-x dy…

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Q: Solve the given initial-value problem. x(x + 1) dy + xy = 1, y(e) = 1 dx y(x) = Give the largest…

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Q: If lim f(x) = ·∞ then which of the following is true?

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Q: Solve for fazy for f(x, y, z) = 4x³y²z - e²zy¹ + + 4y - x¹6

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Q: Which of the following corresponds to the limx→4 (¹2) w when evaluated? 0 4 2

A: Here is the solution:

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

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Q: From the following results, determine whether the function f(z) = 2x+8, 2<8 8 16, = 8. Justify the…

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Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: (i) Evaluate the limit or show that it does not exist. 2xy lim (x,y) (0,0) x2 + 2y² (ii) If cos(xyz)…

A: Firstly we can find Limits and In second one we can find partial derivatives .

Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Identify and sketch the graph of y = r²+1 in R³.

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Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find an explicit solution of the given initial-value problem. dx = · 3(x² +1), x(7) = 1 dt X =

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: Consider the f (x, y) = By evaluating Show 4 at and Hence function 3 y³ + 3x²y - 6x ² the 2 6x² -…

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Q: Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The…

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Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

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Q: In sketching y= O None of the choices O y = 1 O x = 1 O No horizontal asymptote (x-1) In z determine…

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Q: Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त…

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Q: 14 Which of the following is the solution to the following system of equations? [1 2 0 11 0 0 1 0 0…

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Q: 2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1…

A: To determine  whether the given geometric series is convergent or divergent. If it is convergent, to…

Q: sin 2x dx 4. J2osin cosmetin2xdx

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Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: Problem 1. A rectangular enclosure is to be built next to a river. There will be no fence on the…

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