QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4? IL answers

Q: Evaluate the definite integral. NOTE: Enter the exact answer. |ti + t²j||dt

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Let f(x)=(x-3)-2. Find all values of c in (2, 5) such that f(5) f(2)= f'(c)(5-2). (Enter your…

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Q: 5. SHOW ALL WORK Find the six trigonometric functions of 0 given the triangle shown below. A 0 (5)…

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Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: 3) The weekly online sales, S(t), in thousands of dollars, t weeks after online sales began, is…

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Q: 1. Find the area between the curve y=x²+2 and the x-axis, between x=1 to x=3

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Q: r(t) = 2ti - 2tj + 시 6 t³k

A: Given :

Q: Determine whether F(x, y) = 6x²y i+ 4xy²j is a conservative vector field. If so, find a potential…

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Q: Is the output true or false, I need the output step by step and a clear line please al = 25 dB al =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the exact length of the curve. X √(y - 3), 16 ≤ y ≤ 25

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Q: Find the exact length of the curve. X = v 3 y (y - 3), 16 ≤ y ≤ 25

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Q: Consider the following vector field. F(x, y, z) = 2ex sin(y), 6ey sin(z), 5ez sin(x) (a) Find the…

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Q: Find f. f(0) = f"(0) = sin(0) + cos(8), cos(8), f(0) = 1, f '(0) = 3

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Q: Graph the solution set. 9) y ≤ -2x + 5 3 y2x-2 -1086 ++ 2+ -10+

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Q: Consider the following function. f(x) = (8 - x)(x + 1)² (a) Find the critical numbers of f. (Enter…

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Q: Solve the D.E ý - y = x لم

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Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: 5. S COS X 2+3sinx dx

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Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: 4) 19-17-log₂ (2x+4)

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: To find the domain of the following vector‐valued function.rt=25-t2 i+t2 j-4t k

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: We have to find the value of c.

Q: Activity 1.3. B Evaluate the limits of the following functions. 3. lim (ex + 2) -X+0

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Q: Homework: Module 3 HW 16.4 Apply Green's Theorem to evaluate the integral. $(8y +x)dx + (y + 7x)dy…

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Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

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Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: Verify Green's Theorem by evaluating both integrals ƏN [< y² dx + x² dy = √₂₁ / (™N - 3W) CIA dA əx…

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 T (7) 2 ㅠ N(₁) = [

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Q: 4. sinx 1-sin² x dx

A: integration

Q: Find the exact length of the curve. X x=√y (y - 3), 16 ≤ y ≤ 25

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Q: Let f(x) be a function and let c E R. Which of the following is not represented by the derivative…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 P5(x) =

A: We have to find the McLaurin Series for the given function.

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: Given functions g(x)=√x+14 and f(x)=z-6, state the domains of the following functions using interval…

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Q: II. Find an equation of the plane containing the points (0,2,-1) and (1,-1,-1) and perpendicular to…

A: we have to find the equation of plane.  Let, a,b c are the direction ratios of required plane 1.

Q: Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Given problem:-

Q: Finding the Area of a Region In Exercises 5-14, sketch the region bounded by the graphs of the…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(41³i+ (4t³i + 14tj - 6√tk)…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

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Q: b Prove that: f(x) dx = F(x) =F(b)-F(a)

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Q: Compute the 10th derivative of ¹ (²7²) f(x) = arctan

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Q: Use the Ratio Test to determine the convergence or divergence of the series. (If you need to use ∞…

A: The given series is (2n)! /n2 , n from 1 to infinity.

Q: Set up the definite integral required to find the area of the region between the graph of y = 19 -…

A: area between curve

Q: Which statement is true? There are many anti-derivatives, f(x), of a function g(x). There is only…

A: Given

Q: What is the gradient of a line that has an angle of inclination of 55°? Enter your answer, rounded…

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Q: veen y - II [U, 1].

A: We will find the area .

Q: 1. Use operator / elimination method to solve the given system dx dy + 2x + 2y+ 1 dt dt dx dy +2: dt…

A: Elimination method : In the elimination method, by using fundamental arithmetic procedures, we can…