dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

Q: dx x(x+2)² 1. S: 2. f(x+1)dx x²(x-1) 3. (5y-4)dy y³+4y²

A: According to the guidelines issued by the company we are supposed to solve only first three subparts…

Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Express the complex number -3i in the form R(cos(0) + i sin(0)) = Ree where R> 0 and 0 ≤ 0 ≤ 2.…

A: The given complex number is -3i

Q: (a)) The base point of the surface is (0,0,0) and its axis (of symmetry) is the line (x, y, z) = (0,…

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Q: Use the Ratio Test to determine if the series converges. 2k Σ k=1 k 149

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Q: Let f(x) = x³ + 6x² - 63x + 25. (a) Use the definition of a derivative or the derivative rules to…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

Q: Suppose y cos 0sin 0. Answer the following. dy de 6) Separate the differential equation, then…

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Q: Find the absolute minimum and absolute maximum values off on the given interval. f(t)=t√ 25-t²,…

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Q: There are two 12-hour clocks, Clock A and Clock B. One clock is broken and it runs at a different…

A: We have to find the value of N.

Q: Suppose that the position of a particle is given by s(t): 6t³ + 4t + 9. = (a) Find the velocity at…

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Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: Find polar coordinates (r, 0) of this point with I with expressed in radians. Lets r > Oand 0≤0<2…

A: The objective is to find the polar coordinate.

Q: The graph below is the function f(x) -3 -2 Find lim 4 3 2 01 tro Find lim I→ 1- er 45 Find lim 2-1+…

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Q: Find all solutions of the equation in the interval [0, 27). sec 0-√2=0 Write your answer in radians…

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Q: answer #2 using partial fractions

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

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Q: Find the general solution of the following differential equation. y" + 10y' — 11y = 0 NOTE: Use c₁…

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Q: A particle is moving with the given data. Find the position function, s(t), of the particle. [Note:…

A: Solve the following

Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: Find the gradient of the function f(x, y) = x²y+y³. Vf(x, y) = xî+ (x + 3y²) ĵ ○ ▼ f(x, y) = xyî +…

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Q: F(x, y) = (3x-4y2i+6yj by the force in moving a particle in the positive direction once around the…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: [x³e'dx,

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Q: find the volume of the solid bounded by y=2x+1,y=3and x=4 about using the line y=10 the cylindrical…

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Q: Rewrite the following quadratic function in standard (vertex) form. f(x) = 2x² + 12x +16 Enter exact…

A: We will solve.

Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

A: Answer: the solution is as shown below:

Q: 8. Analyze the graphs of f', then list all intervals where f is increasing or decreasing. f'(x), 1-…

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Q: Question 4 of 20 < View Policies Current Attempt in Progress Determine whether the statement is true…

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Q: 3x-6 Evaluate je ³*-6 dx O 3+C

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Q: Use the Limit Comparison Test to determine whether the series converge 31, 2 k + 3 Σ 3 k=1 √k +4

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Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus

Q: f(x) = x+69 (x-3)(x-6)

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Q: Find the absolute maximum and absolute minimum values of the function f(x)= |x-1|+|x+3| on the…

A: The given function is fx=x-1+x+3 on the interval -5≤x≤5

Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Given that n=0 x = 1 1-x Identify its interval of convergence. The series is convergent from , left…

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Q: 2. The point (8, 3) lies on the graph of y = log, z. If the point (4, k) lies on the graph of yb,…

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Q: 1²) Given x = y² +y+l from 0≤ y ≤z +x+| the are length of the given curve over the interval is a.…

A: The given function is: f(Y)=Y2+Y+1 f'(Y)=2Y+1 The formula for the arc length on [a, b] is…

Q: Solve the triangle a = 6₁ c = 5, B = 54 b = S لان A=

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Q: After performing the long division on x²-4' we can conclude that the integral S = is the same as X…

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Q: 3).   Draw the directional field for the differential equation. y' = 3y + xy

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Q: Find the Jacobian of the transformation. x = 3v + 3w², y = 7w + 7u², z = 8u + 8v² a(x, y, z) = a(u,…

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Q: Find all solutions of the equation in the interval [0,2π)[0,2π). (hint: isolate the trig function…

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Q: Consider the following. f(x) = x - 51 X-5 Find the x-value at which f is not continuous. Is the disc…

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Q: Use the Integral Test to determine whether the series is convergent or divergent:   ∑1/n3

A: The give series is convergent...for detail...go through the solution...

Q: Find (any way you want) the integral [F.dr, where F = (sin x+2y, x+y²), and C is the triangle with…

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Q: If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an…

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

Q: Write the product as a sum: 20 cos(136)sin(116) =

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