cot(x)dx 1+sin²x

Q: Problem #3. Use polar coordinates to find the volume under the surface f(x, y) = √16 − x² — y² over…

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Q: (a) Estimate the volume of the solid that lies below the surface z = xy and above the following…

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A: Simply we are using calculs formulas for kinematics     So , distance will be 14 metre

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Q: calculus 2 series

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Q: Find the limit. lim x→0+ sin(6x) x4 = 6 ✓

A: Step 1:To find the right-hand limit of f(x)=−x4sin(6x)​ as x approaches 0, we evaluate f(x) as x…

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Q: Evaluate the indefinite integral ∫sec^7x * tan^3xdx

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Q: 7. Use Polar coordinate to compute the volume under the cone z = √x² + y² and above the semi-ring 4…

A: Step 1: Use polar coordinates to find the volume, x=rcosθy=rsinθdxdy=rdrdθ Step 2:…

Q: (3) [Marked] Consider the surface of revolution = {(x,y (x, y, z) € R³ | x² + z² *-{\306842-({+1})}…

A: The normal vector from the given plane:

Q: 2. Given the following graph of velocity versus time, find the displacement and the distance…

A: Given the following graph of velocity versus time, to find the displacement and the distance…

Q: Solve the question attached.

A: The objective of the question is to find the first and second derivatives of the function y = 4x at…

Q: 4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the…

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Q: Suppose that the time I (in days) for a cancerous tumor to double in volume (in cm³) is given by…

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Q: Find the magnitude and direction (in degrees) of the vector u = Round to the nearest tenths place. =…

A: The magnitude of vector ∣∣u∣∣=8.1The direction of vector is θ=119.7∘

Q: factorize  -7x3+ 7/ 3x2-x-2

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Q: 4t Let (t) = Find fr (c) de dt (don't include the +C) fr (t)dt = <[

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Q: Show working please

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Q: Given Ś Ś cos (y²) dy doc (a) Write down o x inequalities in xy for ?εχε? Ly the region R of…

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Q: ∞ (b) Σne-ni n=3

A: To determine whether the series ∑n=3∞​ne−n2 converges or diverges, We'll use the Integral Test. The…

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Q: Use Newton's method to approximate a root of the equation 3x7 + 4x4 + 2 = 0 as follows. Let x1 = 1…

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Q: 1. Find the work done when a non-constant force of F(x) = object from 2 m to 6 m. = 200 x2 N is used…

A: To find the work done when a non-constant force of  N is used to move an object from 2 m to 6 m.

Q: Calculus IMay I please have the solution for the following question? Thank you,

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Q: Find the length of the curve defined by y = 6x³/2+11 from x 3 to x = 9.

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Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. IC…

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Q: A tank shown below has vertical ends in the shape of isosceles triangles. Its dimensions are given…

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Q: 24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1 1 - x²,…

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Q: please help solve and explain please

A: Detailed explanation:By summing the areas of rectangles under a curve, the Left, Midpoint, and Right…

Q: What is the area of the region enclosed by the curves y = x and y = x²? 11 ㅇㅎ 12

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Consider the equation below. r = 4 - 5 16 cos(0) (a) Find the eccentricity. e = (b) Identify the…

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Q: Consider the equation below. r = 11 4 + 2 cos(0) (a) Find the eccentricity. e = (b) Identify the…

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Q: 6) Use polar coordinates to the find the volume of the solid under the surface f(x,y) = e-x²-y² and…

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Q: Find an equation for the conic that satisfies the given conditions. parabola, focus (-8,0),…

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Q: The limit L of an alternating series that satisfies the conditions of the Alternating Series Test…

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Q: Consider the function f(x) coefficients. (a) do (b) a6 (c) ag (d) b7 (e) bg = 8 + 5 sin²(4x)…

A: The Fourier coefficient calculations for the given function f(x)=8+5sin2(4x) restricted to the…

Q: Suppose that one variable, r, is chosen randomly and uniformly from [0, 5], and another variable, y,…

A: The objective of this question is to find the probability that the condition y &lt; 2r + 1 is…

Q: 3. Spring Oscillations A spring hangs from the ceiling at equilibrium with a mass attached to its…

A: The objective of this question is to analyze the function x(t) = 10 sin(t) - 10 cos(t) which…

Q: 2. (parametric curves) Find a parametric equation for the following curve using 0 as the parameter…

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Q: 12. Please solve the following calc 3 problem and show all work please by hand. (explain the work…

A: The objective of this problem is to find the length of the curve defined by the vector function r(t)…

Q: Question 3. Solve all full clean handwriting

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Q: - 11) Calculate the Jacobian, J, for the change of variables x = u cos(0) – v sin(0) and yu sin(0) +…

A: The objective of this question is to calculate the Jacobian of the transformation from the variables…

Q: If a stone is dropped from a height of 576 feet, its height s after t seconds is given by s(t) = 576…

A: The objective of this question is to find the velocity of the stone at different times and to…