Utilize the function to evaluate the indicated expressions. Simplify. f(x) = 6x-18; ƒ (-), f(x)

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Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. b. C. d. 242 5 244 5 148 3 152 3

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Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

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A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

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A: Here we have to find the area of the region.

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Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: Question 3 (1 point) The lines = (-5, 6) + s(-2, 4) and 7 T = (12, 10) + t(-2, 4) s,te Rare parallel…

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Q: (c) The complex number graphed below can be expressed in rectangular form as z = 1+ i z = ImA i- 0 1…

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Q: If the substitution y = x is made, the integral - 1 64 2 3x³ 3+x² 3x³ 3 + x² .64 18x8 3 + x² S™ [²3…

A: The objective of the question is rewrite the integral  and choose the correct option.

Q: 6) Evaluate dx (x+1)(x² + 4)

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Q: Given an, if limn→∞o an = 0 then the series 1 ∞ O diverges O converges O inconclusive O None of the…

A: series

Q: 8. Determine the dot product of u = [5,-3,1] and v=| 1v=[2,-2,3].

A: Please see the below answer.

Q: or the equation, find the slope m and y-intercept (0, b) (when they exist). (If an answer does not…

A: An equation of the form y=mx+c called slope intercept form of line where slope = m and y-intercept =…

Q: 5. Which of the following expresses √175 in simplest form ? a) 5√2 b) 5√7 c) 7√5 d) 9√5

A: Given that, the number is 175.

Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

Q: y = ln(4x³ + 7x)

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Q: 52. y' - y = y³

A: We need to solve D.E.

Q: f(x) ax² + B where x denotes the length of one side. Find a + ß. Your answer

A: We have given  fx=αx2+βx Put x=1 in fx f1=α12+β1 f1=α+β So, α+β=f1

Q: cos² xy' = (1 + y²)

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Given in the figure A1 = 7 , A2 = 3,  A3 = 2  and A4 = 2. Concept:-  If In [a,b] y = f(x) ≥ 0 then…

Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: 4. Find the range of the function F(x)=√36-t² dt O [0, 36π] O [0, 18π] O [-6, 6] O [-6, 0]

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Q: <X< 6 Submit Question 5 4 3+ 2+ -3 -2 -1 1 2 For the above rational function f(x) = 1 3 Q 17 2x²…

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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A: Acute angle are measured from 0 to π/2

Q: 4 sin(x - 2) x→2 3 ln (3x – 5) Evaluate lim and write your answer in simplest form.

A: We can find the limit in the following steps.

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: answer is in next step. please give a like!!

Q: Evaluate functio J dx x² - 6x + 13

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 5 9…

A: Use formula of area of surface generated about y axis

Q: Consider the region R bounded by the functions f(x) 3x and g(x) = x² + 2. The ar a. 2 sq. units b. 3…

A: Topic:- application of integration

Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: A. x(1 + y²) ź dx = y(1 + x²) z dy dy B. = x + y dx C. dx E. F. Which of the following are separable…

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Q: 12. What is the minimum value of the parabola ? 5 0 LO a) x = 3.9 b) y = 3 c) x = 2 d) There is no…

A: We have to find out the minimum value

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that f(x)= e3x (8-x) . We find intercept point and relative maxima and minima and point of…

Q: If -y³ − 3 − x³ + 2y – 2y² = 0 then find dx in terms of x and y.

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: 2y dx + x(x² In y − 1) dy = 0.

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Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Please see the below picture for detailed solution.

Q: Consider the following functions. f(x) = X Find (fog)(x). g(x) Find (gof)(x). = X X + 9 Find the…

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Q: Consider the following function. f(x) = x² - 4x + 5 (a) Find the critical numbers of f. (Enter your…

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