Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

Q: Sketch the vector field F(x, y) = xj, the line segment from (6, 1) to (6,5), and the line segment…

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Q: Find the extreme value/s of f(x) = 4 sin² x − cos 2x on . (³347) 3π 5π 2' 2

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Q: P has degree 3 and zeros 3 and i. P(x) = | I

A: Given query is to find the polynomial.

Q: Strontium-90 is a radioactive material that decays according to the function A(t) = Ao e -0.0244t,…

A: Given : a.   Decay rate = -0.0244= -0.0244×100%= -2.44 %

Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: Vertical and Horizontal area of the plane region y=2x^2+1 and y=x^2+5

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Q: 'ind the work done by the three-dimensional inverse-square field (r) = r on a particle that moves…

A: Given problem:-

Q: Verify Green's Theorem by evaluating both integrals v² dx + x² dy = / / dA ax for the given path. C:…

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Q: r 0 18. common to = 3 cos 0 and 1=1+cos (

A: Given; r=3cosθ and r=1+cosθ

Q: For the quadratic function f (x) = −2(x+1)2 +2, find the vertex, x−intercepts (if possible),…

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

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Q: Let f (x) = x(8+6x). Evaluate the definite integral 1 rOF So f (x) dz. (F(1)]* Enter the value of…

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Q: f(x)= = x+1 1³ - 2x² + 1

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Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: Use the indicated methods to approximate the area under the curve f(x)=x²-1 on the interval [2, 5].…

A: Here we have to find the area.

Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0 <t < 2n L

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Q: lim (- 3" n→+00

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Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of -² + 7x between x = 2…

A: The region is bounded by -x2+7x between x=2 to x=5

Q: a graphing utility to construct a table of values for the function. Round your answer to two deci H…

A: Given query is to find the table using graphic utility.

Q: QUESTION 15 Find the polar equation for the curve represented by the given Cartesian equation. x + y…

A: To find the polar equation of the curve with given cartesian equation.

Q: 1. Evaluate the Riemann sum for f (x) = x² , 1 < x < 3, with three subintervals, using left…

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Q: Question 10 of 10, Step 1 of 1 dy Find dx Answer for the equation below. dx 11 8/12 Correct 4x4 +…

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Q: a. x²-16 lim- x-4 x-4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: lim f(x) and lim f(x) both --3+ r-3-

A: We have to consider the given statement is true or false according to the given information

Q: B. Find the area of the region bounded by the following: 20. inside 1-² = 2 cos 20 and outside = 1

A: We need to find area of region.

Q: X : Let f(x) be a function defined by f(x) = 1

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Q: QUESTION 11 Find an equation of the tangent line to the curve at the point corresponding to the…

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Q: b) c) dx x²(x²-16)2 S S- dx 1 (4x²+3)2 S. X = X = dx = dx =

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Q: 12 71. (-5-81) 1-4 1000

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Q: 37. If R is the total resistance of three resistors, connected in par- allel, with resistances R1,…

A: If R is the total resistance of three resistors, connected in parallel, with resistances R1, R2, R3,…

Q: Find the indefınite integral and check the result by differentiation. Find the antiderivative whose…

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Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

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Q: Let F(x, y) = (e+ 4y)i+ 9xj. Evaluate the integral / F dr, where C'is the boundary of the region R…

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Q: Suppose that f(1, 0, − 1) = 2, and f(x, y, z) is differen- tiable at (1, 0, -1) with Vf (1, 0, -1) =…

A: We have to find out equation of tangent plane and parametric equations of normal at point (1,0,-1)…

Q: Let r = xi + yj + zk and r = |rl. r If F = find div(F). (Enter your answer in terms of r and p.) I…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. dy

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Q: Question 5 Given that f f(x) dx = 3 and f f(x) dx = 4. A) S₂ f(x) dx = B) f²3f(x) dx C) f f(x) dx =…

A: topic - definite integral

Q: The results of an experimental drug trial to treat chronic stultitia are listed below. Women with…

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Q: he conclusion of Green's Theorem by evaluating both sides of each of the two forms of Green's…

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Q: Evaluate the function at the indicated value of x =1. f(x)=loggx 8 -8 - 1011 8 0

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Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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Q: Find the curvature and the radius of curvature at the stated point. r(t) = 8 cos(t)i+3 sin(t)j+ 5tk;…

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Q: The car you are interested in has 16 color options, 3 engine choices, and 6 entertainment system…

A: Given ,  The car you are interested in has 16 color options , 3 engine choices , and 6 entertainment…

Q: Calculate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: You are taking a multiple choice test that has 10 questions. Each question has 7 answer choices with…

A: A multiple choice test that has 10 questions. Each question has 7 answer choices with one correct…

Q: 8. Determine whether the integral is convergent or divergent. If it is convergent, evaluate it.…

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Q: Find the limit. lim (t i – 4 j + t k) lim (t i – 4 j+? k) i i+ i j+ i k

A: The given limit is; limt→9t i-4 j +t2 k

Q: Suppose that f(x, y) is differentiable at the point (3, 1) with f(3, 1) = 4, fx (3, 1) = 2, and fy…

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Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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