2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

Q: Question 3 Given the points A(-8, 2, 3) and B(-8, 2,-4). a). Write parametric and symmetric…

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: Page 5 of 8 W Previous Next Ask My Instructor Submit Assessment P64107 Weight:1 5) If 0 is an angle…

A: Solution ) cot θ = - √3 Cot π/6 = √3 In second quadrant  cot θ = ( π/2 + π/6) = - √3 In second…

Q: f(x) = 6x3 - 9x + 4 +4

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Q: Solve the initial value problem y" + 6y' +9y = 0, y(-1) = 5, y'(-1) = 2. y(t) =

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Q: Find w such that 2u + v 3w = 0. W = u = (2, 0, 0, -6), v = (-3, 5, 1, 0) 151 3'3'3' - X

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Q: Q3) Find the average value of the function f(x)=√cos 4x+1, on [0,1 Q4) Using Numerical Integration…

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Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

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Q: 2.1 2.3 2.4 2.5 1. 2. 2.1 QUESTION 3 2.2 2.3 Sketch the graphs of fand g on the same set of axes for…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: X 3- Ssin ² x dx ។

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Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: 2.) Determine whether the following series is convergent or divergent using The Limit Comparison…

A: In this question we have to find whether the series is convergent or divergent using the limit…

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: Solve the initial value problem O y = telºr O y = 4e¹0r O y = 4te¹0r Oy=elor + előr O y = előr ,10t…

A: Here we have to solve the differential equation.

Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: UPVOTE WILL BE GIVEN! ANSWER CORRECTLY, DETAILED AND CLEAR. People are searching a wooded area for…

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Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: We can solve the given problem by using the concept of derivatives.

Q: Double-angle Formulas (d) sin 20 = 2 sin cos 0 (e) cos 20 (f) tan 20 = cos²0-sin² 0 = 1-2 sin² 0 = 2…

A: In this question we have to prove the following Trigonometry to LHS equal to RHS. NOTE: As per our…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: \(\) The point (5, -1, -7) is not the center of the sphere represented by the equation x² + 10x + y²…

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Q: Evaluate √t (3t-t²) dt

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Q: A parallelegram PRQS has P(-1,3), S(4,2), Q(5,-1). Find R

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Q: on what intervak of x is the graoh is g(x) increasing? justify your reasoning

A: To determine the interval of x for which the graph of gx is increasing.

Q: why do you think is important to calculate those 8 basic ratios  shown in picture

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3…

A: Given: Rate of inflow of water, dVdt=2 m3/min Height, h= 3m Radius, r=2m

Q: Solve the following differential equation Ỳ − (sinx) y = 2 sinx

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Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: Find the extreme values of f subject to both constraints. (If an answer does no f(x, y, z) = x + 2y;…

A: using lagrange multipliers.

Q: 1. An object starts from rest at point P(1, 2, 0) and moves with an acceleration of a(t) = 3 + 2k.…

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Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: Find the general solution of the differential equation. dy dx y=0 -7y

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Q: J x³x²7x + 13 x² - x - 6 -dx

A: Please see the below picture for detailed solution.

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: Exercises: I 2, (3-x²) dx 3 (5+3x-x²) dx

A: The objective of the question is determine the Riemann sum and evaluate the definite integral.

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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Q: at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

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Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

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Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: To find velocity at time t  and distance travelled during given time interval.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: A Sequence is said to be convergent if it approaches some limit. A sequence is said to be divergent…

Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: frequent problem in surveying city lots and rural lands adjacent to curves of highways and railways…

A: We have to find the total area of the given picture which contains one right angle triangle and one…

Q: Given the functions: f(x) = x³ - 2x g(x) = √2x h(x)=2x-1 Evaluate the function (gof)(x) for x = -3.…

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