-1 If f(x) = e calculate ƒ '(2).

Q: Using the series ratio test 47 Σ=1 = 1 3n+1 L>1 -A L<1 -Β I = 1 -C not of above- D

A: Given :∑n=1∞4n3n+1

Q: The radioactive isotope of lead, Pb-209, decays at a rate proport lead to decay? (Round your answer…

A: Let  at time t amount of radioactive istope is  A(t)

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved.…

A: Above question is solved.

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5% + 5y = In sin-¹ ex (4) y =…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

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Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Here we use kirchoff  voltage rule to  write the differential equation

Q: Evaluate Hf [n²ty) dv G₁ kebrood if G is the solid bounded by an ounded by 2013 the parabolic…

A: Integrate with respect to  z ,y and x and put limits respectively .

Q: Find the exact value of the following improper integral: ex L x2 dx

A:

Q: Calculate 3 dx √√√√x(x + 1)²

A: Solve the definite integral

Q: The boundary of a lamina consists of the semicircles y = √1-x² and y = √25 - x² together with the…

A: Solution

Q: B) Find- for following functions: дz მა 1) z = exy tan y, x = s + 2t, y = s/t. 2) z = x² + xy + y²,…

A: The objective of the question is evaluate the partial derivative of the given functions.

Q: Z=√2(cos135+isin 135)

A:

Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: Identify all extrema of the function f(x,y) = x³+y³-3x-12y+20 on the plane and characterize them.

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Q: Determine the least upper bou You must fully justify your an

A: We have to find least upper bound of the given set

Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

A:

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A: Given problem:- A thermometer is removed from a room where the temperature is 70° F and is taken…

Q: integration function -1 ₁ 2²√x+¹(xy + 1)dydx 817718418 20 20 40 20 not of above - A - B - C - D

A:

Q: Solve the given initial-value problem. (x + 1) dy + y = In(x), y(1) = 25 dx y(x) = Give the largest…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

A:

Q: A student is classifying the following contexts as either permutations or combinations. Finding how…

A: This is a problem related to permutation and combination. Based on the general definition of both we…

Q: 4.) s (a²-x²) ³/₂ dx

A: Let's solve given integral.

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: Evaluate f f (x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 5dx/(1+cos(x))

A:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: 3) 2xydy = (x³ + y²) dx

A: I am attaching image so that you understand each and every step.

Q: B.Verify that the real and imaginary parts of the following function satisfy the equation and that…

A:

Q: Find the area between the curve f(x) = x³ - 130 and the x-axis from x = 1 to x = 4. …….. The area is…

A:

Q: Problem 2: You are given the step function below, where b is a real number: -6b, x ≥2 f(x) = {b²x 8,…

A: Given  f(x)b2x-6bx≥28x&lt;2

Q: Determine where the function f(x) is continuous. f(x)=√x² - 25 The function is continuous on the…

A: We always check continuity of function in its domain . Hence the given function is continuous on its…

Q: f TAN Aydy - TANY 4 TANY +C

A:

Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

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Q: Find the radius of convergence and the interval of convergence. k (x+2)* k= Radius of convergence:…

A: First i I have find the Radius of convergence using formula and then find the interval of…

Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for…

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Q: • Example: f(x, y, z) = x³ + 3xy + 3xz+y³ + 3yz + z³ • Find the stationary points • Classify the…

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Q: The following statements are true EXCEPT A. Sa f(x) = 0 B. fk f(x) dx = k f f(x) dx for any real…

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Q: Find an equation of the circle that satisfies the given conditions Center (-2, 9); passes through…

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Q: The line = (2, -1, -2) + s(1, 1, -2), sER, intersects the xz-plane at point P and the xy-plane at…

A:

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: 1. (cosx-2xy)dx + (ey - x²)dy = 0;…

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Q: A stone is dropped off a 784-1 cliff. The height of the stone above the ground is given by the…

A:

Q: Use the substitution t = tan(x/2) to transform the integrand into a rational function of t and then…

A: Let  I = ∫0π2 5 sin 2x 2 + cos x   dx

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (−1)k+1 9k…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 3ln(x)/(x…

A:

Q: 27 Y = A tru ® Erro

A: The range of the basic arctanfunction is -π2&lt;arctanx&lt;π2Therefore the range…

Q: Qy integration value Equal? @ (√x-1)² + ( 2 Q 2 (√x-11³ 3 @ → (√x - 1)³ + ( 3 Not of the above + C S…

A: To solve the given integral.

Q: In a certain manufacturing process, when the level of production is r units, the cost of production,…

A:

Q: the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y²-8)y dy = 0

A: We have to solve the given differential equation.