3x Evaluate x² +¹+e³ª)dx.

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

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Q: dx √x²-4x+13 S.

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Q: This is a weird polar graph question in calc II, I don't know how to answer it. If you can provide a…

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Q: Given the polynomial function: h(x)= 3x³-7x²-22x+8 a) List all possible rational zeroes of h(x). b)…

A: According to the Rational Zero Theorem, the list of all possible rational zeroes of a polynomial is…

Q: For the function h(x,y) = ?x = x +9y 2xy-9 ah əh find and ax ду

A: We need to find derivative.

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: What is the allowable error in measuring the edge of the cube that is intended to hold 8 cu.m. if…

A: Given problem:- What is the allowable error in measuring the edge of the cube that is intended. to…

Q: Find all the values of x such that the given series would converge. 00 (2x)" Σ n8 The series is…

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Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: 3. If Ax) = , find f"(-1). c. 0 d. -1 a. e b. 2e

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Q: Evaluate:* x + 4x lim x4x2 + 2x - 8 4/5 1/2 2/3 3/4 Differentiate with respect to x: * y = sec(x² +…

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Q: Let f(x) = ln(x7) f'(x) = ƒ' (e²) =

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Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

Q: Let R be the region bounded by the graphs of y = r-1, y = 1-³ and the lines y = 3 and r = -1 as…

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Q: Given f(x, y, z) = x²y + y²z+z²x. (a) Find Vf(x, y, z). (b) Find the equation of the tangent plane…

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Q: Given cost and price (demand) functions C(q) = 140q+47,300 and p(q) = -2.6q+800, what price should…

A: We need to find  revenue.

Q: Given f(x) find f'(x) f'(x) = 2 ¹(√2 x² + 3 In =

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Q: Find the points of intersection of the graphs of the equations. 2+y = 18 -2x + y = 15 %3D %3D (х, у)…

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Q: Answer the question in the space provided and in full details. Show ALL your steps and your…

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Q: For each graph below, state whether it represents a function. Graph 1 y Function? Function? 4. Yes •…

A: Let's find given graph represent a function or not.

Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

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Q: Suppose that you have the utility function: u (x) = Vx u" (x) 43 %3D Find : u' (x) 1 2x 2x Option 2…

A: I have stated the used formulas in the solution

Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY: y= x^2+1, x=0, y=0, and x=2…

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Q: Life Expectancy of a Female Suppose that in a certain country the life expectancy at birth of a…

A: In order to get g(t) integration need to be done.

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A: A solid lies between planes perpendicular the the y‐axis at y=0 and y=2. The cross‐sections…

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

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Q: Evaluate cos(x) - 1| dx.

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY:  y=x^2+1, x=0, y=0, and x=2…

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Q: Find f, fy. f- 2 f(x.y,z) = 3x - V4y +z" | (Type an exact answer, using radicals as needed.)

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Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: f(x)= 2x x²-4

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Q: The function f(x) = x² - 16 The function f(x) = lxle f''(x)f"(x) changes sign at c=0c=0 f''(x)f"(x)…

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Q: If f(x) = 10(sin(x))", find ƒ'(2).

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Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

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Q: 4. f cot²x csc ³x dx

A: Topic:- integration

Q: Solve the following equations: (D³ + 3D² + 3D + 2)y = 0

A: We can solve this as follows:

Q: Evaluate: lim (1+sin 4x)cot ¤ x→0+

A: Topic:- limit calculus

Q: Kindly solve the following completely within 20 minutes and draw the figure/graph for each,…

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: We have to find out the domain and range

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01 )…

A: Differentiation need to be done appropriately.

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

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Q: Verify the following trigonometric identity. Justify each step with the identity or property you…

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Q: If there is no solution, state that there is no solution and explain why.

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Q: Father of Calculus Isaac Newton and Gottfried Wilhelm Leibniz Hipparchus of Nicaea Antoine Lavoisier…

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Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

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