(E – 4)A^ = -글Vyy-3), 1sys 25 ter a fraction, integer, or exact decimal. Do not approximate.

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A: This question is related to Partial derivatives, we will solve it using given information.

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Q: Use sigma notation to wrte the sum. 7n Σ

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Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

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Q: 7. Find ſxsec¯'xdx using integration by parts made simple or otherwise.

A: Given ∫x sec-1x dx To find integration

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A: Here we have assumed that each rectangular run is x feet by y feet. That means: length = x width = y…

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A: To evaluate the integral below by interpreting it in terms of areas in the figure.The areas of the…

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A: We have to find the limit of given function

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/d-definition of the derivative to prove that f(2) = 9.

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Q: 1 6. Find dx. V2x2 –8x+2

A: Solving

Q: sin' xcos³x dx 3

A: Given: I=∫sin7xcos3xdx   As we know that; The trigonometric identity; sin2x+cos2x=1 The Power rule:…

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

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Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce¯+c,e¯2x+x-3 O b.…

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Q: Lety = 4x² – 4x+3 (a) Find the equation of the tangent line to the graph of the function atX=2; (b)…

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Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

A: Given problems:- a) A firm estimates that it will sell N units of a product after spending x on…

Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: i=1 + 20b;)

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Q: Directions: Prove the following statements. 1. If f(x) = (x² – 1)3 then f'(x) = 6x3 – 12x + 6x.

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Q: 5y² = 2x³ – 5y

A: Derivative with respect to x

Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: 3/2 <(のーメ)CK dx 2. 2.

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Q: Find (3+2) - 2i . 406 754 386

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Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec t (8 sect + 9 tan…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Initial value problem: An initial value problem (IVP) in multivariable calculus is an ordinary…

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = x2 - 7x + 6 g(x) -x2 + 5x + 6 y 10…

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Q: Find: d/dt (1/square root of 2t) A. square root of 2t/4t B. - 1/square root of 2t C. 1/2t square…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

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Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: Given; There 10 points in a plane such that no three points are collinear

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: We have to find if the series converges or diverges.

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

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Q: 7 Find the average value fave of f(x) = x' between -1 and 1, then find a number c in [-1,1] where…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Vertices: (±1, 0),…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

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Q: Given that the graph of f(x) passes through the point (4, 5) and that the slope of its tangent line…

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Q: IV. On Circular Permutation In how many ways can eight people be seated at a round table? . In how…

A: Note that, in a Circular fashion we can arrange n elements in (n-1)! ways.

Q: Find the sum of the geometric series. 1)" n-1 2.5 5 15 25

A: Sum of the finite geometric series :                  ∑n= 1k arn-1 = a(1-rk)1-r ; where, a-first…

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A: This is a problem related to vector parts. Based on the general formula and concepts we will answer…

Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

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