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Q: 3. A container in the shape of a (right) cylindrical can with an open top of volume 87 cm³ is to be…

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Q: f(x)= = x+1 1³ - 2x² + 1

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Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: inverse laplace (7s-2)/(25-s^2)

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Q: 1 Andrea deposited $5,000 into a 30-year retirement account which compounds continuously. If she…

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Q: Find the points on the curve where the tangent is vertical. x=1³-3t, y-t³-31²

A: First we find dy/dx

Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate the following integral using substitution rule or integration by…

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Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: Paramount Electronics has an annual profit given by P = -100,000 + 5,000q - 0.25q² dollars, where q…

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Q: x² + 8x - 9 x1 x³2x25x + 6 t³7t² + 16t - 12 t44t³+ 4t² 4. lim 5. lim t-2

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Q: A circle has a radius of 11 ft. Find the radian measure of the central angle that intercepts an arc…

A: We can find the radian measure in the following steps.

Q: Use L’Hospital’s Rule to evaluate the given limit.

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Q: Let f(x) f'(x) = = 1 (6 sin x + 2 cos x)tan ¹x

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Q: J 3 If f(x) = then f'(x) = f'(-5) = = to dt > Next Question

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Answer (A) & (B) A- Find the integrating factor of the following D.E (2 cos y + 4x²)dx (x siny) dy…

A: Integrating factor of the differential equation: Consider  Mdx+Ndy=0 be the differential equation.…

Q: f(x)=e*; at (0,1)

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Q: 5. Evaluate [62³e¹dA; R= [0, 2] × [0, 2] R

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Q: 1. If z = f(x, y) has continuous second-order partial derivatives and x = r cos 0, y = r sin 0,…

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Q: d. Sketch the piecewise function x²2x-5 -4 ≤ x < 7 F(x) = 30 - 7 ≤ x ≤ 12 -x + 72 5 e. Describe the…

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Q: Evaluate the line integral [39a²³yzds with respect to s along the 2 curve C: x = t, y t, y = t²,₁…

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Q: The position of an object attached to a spring is given by s (t) = cos(4t) — —sin(4t), - where t is…

A: The position of an object,st=14cos4t-16sin4t on the interval 0&lt;t&lt;3

Q: 3) f cost x dx بعة

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Q: 6. Eva wants to fence two rectangular plots of land. Both plots must have the same dimensions and…

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Q: The graph of the function fon the interval -10 ≤ x ≤ 10 consists of two line segments and two…

A: Graph of the function f on the interval -10≤x≤10It is also given that ∫-50gxdx=-6 and ∫-56gxdx=14.

Q: 1. Several statements about the definite integral of a continuous function f(x) over [a, b] are…

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Q: r 0 18. common to = 3 cos 0 and 1=1+cos (

A: Given; r=3cosθ and r=1+cosθ

Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on . (³347) 3π 5π 2' 2

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Q: Describe the graph of the equation. r = (8-2) 1+ 14tj It is a line in 2-space through the point…

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Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

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Q: Solve the problem. A business estimates that the salvage value V of a piece of machinery after t…

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Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

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Q: Confirm that the force field F = xy²i + x²yj is conservative in some open connected region…

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Q: xdx √9-4x²

A: Given,            ∫x29-4x2dx

Q: (x) is an even function, and if f 6 f(x) dx = 15, find f³, f(x) dx.

A: Given query is to find the value of the Indicated integral.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: We have to find the value

Q: 7. Find the flux of F(x, y, z) = x î+ y ĵ+ z² k across the sphere of radius 1 centered at the origin…

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Q: Write an equation in vertex form of the parabola that has the same shape as the graph of f(x) = 4x²,…

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Q: ersects the circle at the points (4,1) d (6, 13) as shown. Find the coordinates of the circle's…

A: Topic:- geometry

Q: Consider a triangle ABC like the one below. Suppose that b= 19, a=31, and B= 27°. (The figure is not…

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Q: What is the summation from n = 1 to infinity, of  (3^(n+1)) / 5^n + 1 ?

A: Given that,       ∑n=1∞3n+15n+1

Q: sec7(t) tan(t) dt Evaluate indefinite anti-differen

A: We have to find the integral

Q: F = 3 x 10-4³-4.4 x 10-³w²+3.93w+0.221

A: Given :

Q: Solve the differential equation in Higher order differential equations (D^2-D-2)y= cosx PLEASE…

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Q: A table of values of an increasing function f is shown. X 10 14 18 22 26 30 f(x) -11 -8 -1 1 3 7 30…

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Q: The number of cars produced when a dollars is spent on labor and y dollars is spent on capital…

A: Given problem:-

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Find the interval of convergence for xn 5n 8 n=0

A: The given series,     ∑n=0∞xn5n

Q: Find the work done by the force field F(x, y, z) = xyi+yzj+xz k on a particle that moves along the…

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