A function F(x) is called an antiderivative of f(x) if

Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: company's revenue from selling xx units of an item is modeled by R=3750x−x^2. If sales are…

A: Given query is to find rate of change of revenue.

Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

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Q: Consider the following initial value problem, defined for t > 0: y² – 2y = f* (t- a. Find the…

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Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0 0+

A: Given differential equation ( sinθ - 2rcos2θ )dr + rcosθ( 2rsinθ + 1 )dθ = 0 standard form Mdx + Ndy…

Q: Find differential of the function y = dy = dy When x = 3 and dx differential. dx. = = (x²+4)³. 0.05,…

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Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: Fuck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

Q: 1. Determine whether the following series are convergent. If convergent, find the sum. A. B. n=1 1…

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Q: P 1/^ (1) J 8.

A: Given query is to find the integral.

Q: 2. Let F be the 3D vector field defined by F = -r/r³, where as always r = (x, y, z). This vector…

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Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

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Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z ≤ 6; Js f(x, y, z) dS = ¯ f(x, y, z) = ez

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Q: d³y 2. 6- dx 5 11 day dx4 d³y d²y -42- +96- dx 3 dx² dy 108 +27y=0 dx

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Q: Given f(x) = ax³ + bx. Find b so that f has a relative extremum value at (2,-1). (a.) (b.) - 3/4 3…

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Q: Determine the projection of the surface - y² = z on the xy- plane? (Hint: z = 0) O One Line O…

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Q: Which of the following series should be used to determine the convergence of the series Select the…

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Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Solve the following

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: L₂ (3x + 4) dx

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Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  the equation of…

Q: Let f(x)=√8-x³¹ for x <2. -3.x² 2√√8-x³ (a) Show that f'(x) = - for x < 2. The graph of y=f(x) is…

A: Given a function y=f(x)

Q: S S sin 13x dA, R: 0≤x≤ 3,0 ≤ y ≤ 13' R

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Q: Show that M8 Σ n=1 1 is divergent without using any of the tests you have seen so far. Use the…

A: We need to show sum is divergent.

Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: . (2,3), (4,-5)

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

Q: Determine if the sequence find its limit.) 1 { ( ₁ + 3 / 2 ) ² } 3n is convergent. (Hint: see if you…

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Q: 8. Find the interval of convergence of the power series. 11=0 3n n+2(x-1)"

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Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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

A: Determine the derivative

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 5)…

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Q: Consider the graph of f(x) to the right. 4 (a) Estimate S 4 [ f(x) dx = [ f(x) dx. 3 (c) If F(0) =…

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Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: 2. [xc xcos 3xdx

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

Q: Please write in a better format. I do not understand how the problems is developed when letters and…

A: To determine the second derivative of the following parametrically defined curve.xt=2 sin3tyt=-cos3t…

Q: 4. rectangle has an area of 180 cm² and a perimeter of 54 cm. What are the dimensions of the…

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Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and we have

Q: Problem 5: A particle moves along a line with a velocity given by v(t) = t² . - 2t where v is…

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Q: 6. √√³ dx

A: Given query is to find integral.

Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: WRITE THE RATIO up! 3 I Tic 3 DIFFERENT WAYS •4:3 प 14.4 to 3 5.7 ARE FIND 3 EQUIVALENT RATIOS 14 3…

A: Please see the below picture for detailed solution.

Q: Determine if the series below converges or diverges using the alternating series test. If the…

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Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: A consultant estimates that the total weekly computer usage by the company employees to be:…

A: Given query is to find the computer usage for first 14 weeks.

Q: -IN sin (cos-¹x) = 1/

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Q: Write the equation of the circle centered at (0, 6) with radius 16.

A: Solve for the equation of the circle

Q: Given f'(x) = 3x4 - 4x³ + 7. Determine which interval the graph of f is concave upward. (a.) x > 0…

A: To determine the interval where the graph of f is concave upward

Q: Suppose that it is given to you that f′(x)=(x+4)(12−x)(16−x)f′(x)=(x+4)(12−x)(16−x) Then the first…

A: We need to find out the relative extremum and inflection points.