Q: If f is continuous on [a,b], and f(x) > 0 then (A) True B) False √√° √F(x) dx = ₁ √ [F(₂ a - f(x) dx
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Q: Approximate the value of In (1000!)
A: Here we have given ln1000!. Now finding it's value we get : As we know that expansion of lnx is…
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A: This question can be solved using the concept of linear differential equation.
Q: 3 For y = f(x) = 6x³, x=4, and Ax=0.05 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…
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Q: Determine if the series converges or diverges Sum n=1 (n+1)/(n+3) State the test used, show that all…
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Q: Q1. Determine the Inverse Laplace Transforms: 45-4 a) 1 [ (542) (5²74) ] 1) 1 [ 21 g (5 +10)]
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Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…
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A: We need to fill answers.
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Q: Write an expression for the function, f(x), with the properties f'(x) = ((ln(x+5))²)/x and f(4) = 3.…
A: We have to find the value of integral.
Q: n = 3 20 . n=-1n+₂
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Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…
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Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…
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Q: Find the standard form of the equation of the circle whose diameter is the line segment joining (-2,…
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Q: Direction: Use substitution rule to evaluate the following integrals. COS X 1. S dx 2x 1+x² 3. f- dx…
A: Since you have posted multipart questions i can do first three subparts as per our company…
Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…
A: topic - coordinate conversion x=rcosθy=rsinθ
Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -
A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0
Q: When an object is dropped, the distance it falls in t seconds, assuming that air resistance is…
A: Given
Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)
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Q: You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column…
A: answer is in next step
Q: 3. Let there be some a, b ER such that f(a)f'(a) = f(b) f'(b) + 1. Show that f f(x)f"(x)dx ≤ 1.
A: This is a problem related to integration. Based on the general formula and concept we will prove the…
Q: Let f defined by f(x) = 2x³ + 3x² − 5 at [-1,1], Consider the following statements 1-It reaches an…
A: The given function, fx=2x3+3x2-5 at -1,1
Q: Compute the directional derivative and gradient of at (2,-1,0) in the direction of the unit vector…
A: Dot product of A.B is ad+be+cf where A=<a,b,c> and B=<d,e,f>.
Q: 7 Suppose that f(x)dx = 8. Find the value of the following definite integrals. Complete parts (a)…
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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²
A: Explanation of the answer is as follows
Q: 3dx 2. S (x+2)√x²+4x+3
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Q: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)
A: I have stated the used formula and the property in the solution
Q: S x-6 x²+9 dx
A: To evaluate the given integral. ∫x-6x2+9 dx
Q: IF y = u* + 3u² & u = 3x Find dy dX
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Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…
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Q: SUBJECT
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Q: Given the function y = 2x³ - 4x² + 5, find its derivative.
A: Topic = Derivative
Q: What are the vertices of the hyperbola whose equation is: * 9x² -4y² +72x + 108 = 0 (-1,0) and…
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Q: Please kindly show all working. Thnx. 1) Let f(x)=x3−3x2−9x+25. Use the derivative…
A: Given function,f(x)=x3−3x2−9x+25.We know that.Suppose that x=c is a critical point of fx then, If f…
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Q: Determine the rules of differentiation used and solve the derivative of the function.
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Q: In 2000, an investment was opened with an initial deposit of $1800. The investment had grown to…
A: We have to find the formula and time.
Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…
A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…
Q: Given the function defined by f(x) = 3x² - 4, find f'(2)
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Q: followin COSX 3. f- dx 1+sinx 4. f (sinx + cos x)² dx 203 (y² +1) 20 dy 5. f
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Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).
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Q: 1–2 = For each of the following functions given by power series, find f'(x) and f f(x) dx. Do not…
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Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.
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Q: n np ₂ (²+1), J пр I)
A: Topic = Integration
Q: eu [(= + e (+ + e" Inu - e" ln x) du
A: integration
Q: Suppose x = ₁et + c₂e³t. a. Verify that x = =c₁e¯t + c₂e³t is a solution to x" — 4x' - 5x = 0 by…
A: Topic = Differential equation
Q: R 쫘 = 0.138 & R" . R₁ " 0.126
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Q: Is it possible to Solve all the points with Finding Domain and Range y= sin x 2) y = cos x 3) tan y…
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Q: S 2+2 cot (2²+42 - 3) -dz
A: Solution of given question is written in below steps.
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- While passing exams, 1/6 (one sixth) part of all students, who took exams, got C(mark). 56% of all students, who took exams, got B(mark), and only 14 people got A(mark), which is less than 9% but more than 4% from all students. How many students took exam in general?Four hungry boys went to bed, thinking about the batch of cookies that their mother had just baked. In the middle of the night, each of them got up and ate some of the cookies. Charlie got up first. He gave 2 cookies to the dog, then ate 1/10 of the remaining cookies and went back to bed. Bennett was the next to get up, and he ate 1/9 of the cookies. (The dog didn’t get any from him because he thought the dog looked full.) Oliver then got up and gave 4 cookies to the dog. Then he ate 1/4 of the remaining cookies. Davey was the last to get up, and he ate just 6 cookies. (He offered one to the dog, but the dog just turned away with a decided grimace.) When their mother went into the kitchen the next morning, she found ants, a pale-looking dog, a lot of crumbs, and only a few cookies, so she quickly whipped up another small batch to increase the amount by 2/3. Then she had a total of 55 cookies. How many cookies had she baked the day before?As a vacation souvenir, a family of 4 members wanted to be photographed together with their 2 pets (a cat and a dog). Apparently, the pets are not in good terms. In how many ways can the photographer arrange them in a row so that the cat and the dog are not beside each other to keep everyone harmonious in the photo.
- in a exam of 150 numbers of 150 Question, if their is no negative marks in 2001 then cutoff was 113. when they introduced 1/4 negative marking in 2002 the new cutoff is 91 and total seat 273 and student appear for this year exam is 2,75,000. but in next year exam( 2003) they introduced 1/3 negative with total seats 380 and total 1,80,000 students apperar for this year exam , then this year cutoff will be ?6.2 is the last option, couldn’t fit it in.Colombian license plates are made of 6 places. The rest 3 are letters, and the last 3 are numbers (e.g., XYZ123). a) How many license plates are possible taking into account that Colombian plates use the Spanish alphabet (and it has one more letter than the English alphabet, ñ)? b) How many different license plates can be formed if numbers and letters can not be used more than once?
- a) (-∞,1]b) (-∞,1)c) [1,∞)d) (1,∞)Suppose that 10% of weightlifters use banned substances, that a weightlifter who uses banned substances tests positive for them 97% of the time, and that a weightlifter who does not use banned substances tests positive for them 5% of the time. How would I go about answering this question?Solve the word problem involving combinations. Show your solution. 1) To choose 3 letters from the word MATHBOXES, how many combinations are there? 2) From the word SECONDARY, how many combinations are there when 5 letters are selected? 3) There are 14 members in a volleyball team. Six of them will be selected as starters for each match and the rest are substitutes. If a member is injured and cannot join the next match, how many combinations of the substitutes are there for the next.
- Each of the teams in a mixed volleyball league consists of 5 men and 5 women. There are 9 men and 10 women, including Julia, who are trying out for a team. How many possible teams would include Julia? 15,876 31,752 45,722,880 457,228,800Convener and a Secretary are to be chosen from group of people consisting of 50 people. Explain how many different choices are possible if [3 marks] i. A will serve only if he is Convener; ii. B and C will serve together or not at all; iii. D and E will not serve together?Susan's bioloy class begins with 1225 students. If 5/7 will finish the course and 2/25 of those get a passon grade, how many students will pass Susan's bioloy class this term?