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Q: S sin 3x (csc 3x - cos ³3x) dx

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Q: ủ = 5ĩ – 5j+k and Ủ = 2í +147

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Q: f(x) = 2 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be…

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Q: Determine the convergence or the divergence of the series: 8 W [2inn n=1

A: Given data, ∑n=1∞2lnn

Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.

Q: Given the hyperbola with the equation equations of the asymptotes. 22 4 y² 49 = 1, find the…

A: We need to find vertex, foci and asymptote.

Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: Find the derivative of the following using the Four-Step Rule. 1. f(x) = 2x^2 - 3x + 4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.574…

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Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

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Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: check the conservative of f using curl of F

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

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Q: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 135°. Enter…

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Q: . . . . . . . . . . .

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Q: Determine if the following series converges or diverges, and calculate the sum if it does converge:…

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Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: A woman is walking at the rate of 4 feet per second toward a tower 89.6 ft high. Determine the rate…

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Q: 4.42. Evaluate Jcz dz+z²dź along the curve C defined by z² + 2z2+z = (2-2i)z+(2+2i)z from the point…

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Q: 1. Solve the following homogeneous differential equations and box your final answers. 4)v² dx + x(x…

A: We are required to find the solution of the homogeneous differential equationv2dx+x(v+x)dv=0

Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: C [² (₁²- Jo (u² - 2u) du

A: Solution : Given that integral is

Q: Solve for the general solution of the following higher-order linear differential equations. Thanks!

A: We need to find out the general solution of the given differential equation.

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: (2,2) y=4-x 75 3 π = O P=[^ ( ² + z-4)³²dx (4,0) 4 O none of these ( )² – (4 - x)² da (5)² - (4-…

A: we have to find volume equation  from given figure  we have use the integration method to find this…

Q: What is the value of O e² +e-2 e² - e-2 does not exist; the function y = e is not integrable. e² - e…

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Q: he table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Solution:

Q: If the supply and demand functions for a commodity are given by 6p -q = 60 and (p + 2)q = 4830…

A: given  6p-q=60.......1           (p+2)q=4830........2from equation  1,   q=6p-60  put in euqation 2

Q: The integral ₁17x²-x² - 6x dx MUST be evaluated by breaking it up into a sum of three integrals:…

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Q: 4. Prove Theorem 7.5, the formula for the area of a trapezoid. [Hint: For a clever ap- proach that…

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Q: Question Determine the derivative of the parametrically defined curve represented by the equations x…

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Q: dy Find L y = ln (2²+4) + + Icos HIN

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Q: Find the sum of the series. 71=0 312-4 5+1

A: NOTE: Refresh your page if you can't see any equations. .

Q: 8 [(x - 5 -9 (x - 5|x) dx

A: use the value of the absolute function.

Q: Evaluate the double integral 11.1². I = = (2+ sin(x - y)) dA when D is the bounded region enclosed…

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Q: a) [x²e³dx

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Q: Find the linearization of the function f(x) L(x) = H -1.1 Find the true values of f (z) and the…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=-1 the point (-1,-1)…

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

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Q: L₂ (3x + 4) dx

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Q: Consider the indefinite integral fat This can be transformed into a basic integral by letting ՂԱ du…

A: The given integral, ∫x4x5-8 dx We have to change this integral using substitution.

Q: Evaluate the series or state that it diverges. ∞ 3-1 Σ 5 n=0 Select the correct choice below and, if…

A: Given series:- ∑n=0∞3n-15n

Q: A G √x² + y² dydx=[] 2 (Type an exact answer, using as needed.)

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Q: Write an iterated integral of a continuous function f over the region R shown in the figure. Write…

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Q: Evaluate the double integral 6y = 1/₂ (2² + 1) ² D I = when D is the region dady {(x, y): 0≤x≤1, 0≤…

A: We need to evaluate the double integral given by :

Q: area of the region enclosed between f(x) = x² + 2x + 11 and g(x) = 2x² + x − 1.

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Q: Question Find all points on the curve defined by the equations (t) = 5+4√t and y(t) = 4t - 4 with a…

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Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

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Q: Find the equation for any horizontal asymptotes for the function below 3-7x+x² 2+9x+6x² f(x)=- FOTO…

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