Q: Find the value of lim x →0 if the limit exists. 1. limit does not exist 2. limit 3. limit 4. limit…
A: if we put x=0 it is 00 form there for use l'hospital rule limx→0(2x+1)2-16x=limx→0∂…
Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.
A:
Q: A culture of bacteria in a particular dish has an initial population of 400 cells grows at a rate of…
A:
Q: place ofitemonogirt vlotolamo le 115 +- 56° X 35°
A: Given query is to find the value of x.
Q: Design a rectangular milk carton box of width w, length 1, and height h which holds 494 cm³ of milk.…
A:
Q: Solve for n: P = Poant
A: Given query is to solve for n.
Q: (5) The marginal revenue, P'(x), for selling x units of a product is given by 40 e0.1x Find the…
A:
Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…
A:
Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) (b) (c)…
A: Let's solve all integral value.
Q: S 3 dx 5x² + 11x + 13/2
A:
Q: Evaluate 1. limit 2. limit = -3 3. limit does not exist 4. limit x+1 lim x⇒−1 x² – 3x − 4˚ 1 5.…
A: Given: limx→-1x+1x2-3x-4
Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…
A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.
Q: 5. y = (x + c)e*
A:
Q: A flat rectangular piece of cardboard of dimensions 6 cm by 10 cm is transformed into an open-top…
A:
Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the funtion…
A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is where…
Q: 1 X. Xx4 + 4 +8 dx
A:
Q: (D) a translation 5 units to the right and 3 units up
A:
Q: c4 (ex + √x) dx
A: Given query is to find the value of the integral.
Q: Q6. How many arbitrary constant in a particular solution of a fourth order differential equation?…
A: It is asked about particular solution.
Q: Text:If f(x) = tan(2x), what is the absolute difference between f(5.4) and T₂(5.4), if the second…
A: To solve the following
Q: 1. Evaluate the line integral where C is the half circle x² + y² = 1, y ≥ 0. 1²+y² ds
A:
Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with…
A: we need to solve the given initial value problem.
Q: Using the u-substitution u = 3x² + 1, identify f such that the integral =) = help (formulas) x 3x²+1…
A: Solution Given that u=3x2+1
Q: Example 4. A man is walking along a straight path at a speed of 3 ft. A S searchlight is located on…
A:
Q: Answer the following questions about the function whose derivative is given below. a. What are the…
A: Please see the below picture for detailed solution.
Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…
A: To find absolute minimum.
Q: Evaluate the geometric series or state that it diverges. 8 Σe-2n n=0 Select the correct choice below…
A: Given sereis:- ∑n=0∞e-2n
Q: Let f(x) = = (2x¹, (5sin(x), 0 슴ㅠㅠ ㅇ 름ㅠㅠ ○ ㅠ + 10 83 - 10 0 1 - 10 -ㅠ < æ < 0 0 ≤ x < ㅠ Evaluate the…
A: The function is given by fx = 2x4, -π≤x<05sinx, 0≤x≤π To evaluate: The value of the definite…
Q: 6. The slope of the line normal to the graph of y = 2 In(secx) at x = is
A:
Q: 3 11 2.) S³²₁ 2 (x+4)² dx
A: we need to find out the definite integration.
Q: h(t) = 4e5t-7t-3 Determine the value of h'(-1).
A: Given query is to find indicated derivative.
Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = 3. Find…
A:
Q: 1) 225° Quadrant Reference Angle Cos 225º =
A: given angle is 2250 since we know that if angle θ∈[1800 , 2700 ]then angle θ lies in quadrant…
Q: If y = (k+1)x+3 then y' = -0 ∞0
A:
Q: Evaluate the following integral: by-hand S*(1-x-4x²³ + 2x³) dx; n = 4 -2 2016.875 1416.875 1716.875…
A:
Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…
A: The given function is y=x2+10x
Q: 5) y=sin (0-60) 90° 180° 270° 360° 450° 540°
A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…
Q: Determine whether each series is conditionally convergent, absolutely convergent, or divergent
A: We need to find convergence.
Q: Evaluate the integral. 1₁ w² w² In(w) dw
A:
Q: Let f(x) = lim x →-5- - - 6 48 x-3 Compute the quantities below. Write "DNE" if the limit does not…
A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: b ZA= ZB= ZC= с a B Let a = 1, b = 8 and c = 8. Find the measure of angles ZA, ZB and ZC. Give your…
A:
Q: If cot(x)=8/11 (in Quadrant-I), find cos(2x) = ------ (Please enter answer accurate to 4 decimal…
A:
Q: Find and classify the critical points of f(x, y) = 3xy - x³ - 2y².
A:
Q: Given f(x, y) fzz(x, y) = fzy(x, y) = – x³ − 3xy¹ + 3y5, find
A: f(x,y)=-x3-3xy4+3y5for fx(x,y) assume y=constant and diffrentiate with respect to x of…
Q: The first derivative of a continuous function y = f(x) is y' = (12x - 10x²) (3-x)². Find y' and then…
A:
Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…
A: we need to find out the local maxima, local minima, absolute maxima, absolute minima and inflection…
Q: Given n fixed points (a_1, b_1), ..., (a_n, b_n). Show that the sum of the squares of the distances…
A:
Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by…
A: given rate is s(t)=0.25t2-t+29refrence is year 2007 fot 2007 to 2014, 0≤t≤7there for 2009 to 2012…
Q: Determine if p2 – 5+4 lim x1 x² + 4x - 5
A:
Q: gradient of the line joining the points (3, 5) and (2, 8) is
A: Given query is to find the gradient of the line.
Step by step
Solved in 2 steps with 2 images
- a) (-∞,1]b) (-∞,1)c) [1,∞)d) (1,∞)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?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.
- If student 10 is not selected, then student 5 should be selected how can I represent this constrain in mathematical formAn allergy pill contains 180 mg of medicine. 10% of the medicine is eliminated from the patient's body every hour. To be effective, 70 mg of the medicine needs to be in the patient's body. If the patient takes one pill at 8 am, should they still be allergy-free at 5 pm?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?
- A garden has two rectangular flower beds. In the first bed, we will plant five different flowers in a row. In the second bed, we will plant six flowers in a row, so that there will be two flowers of each of three kinds. For which flower bed do we have more possibilities of proceeding?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?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 ?
- twenty students like both the first (Set A) and second (Set B) techniques in solving a mathematical problem while 20% of the total students like only the second method. There are 126 students who like the first technique which compromised the 60% of the total students. Find A U B.Two distinct numbers are selected from the set (1,2,3,4,...,36,37) so that the sum of the remaining 35 numbers is the product of these two numbers. What is the difference of these two numbers?A university student is selecting courses for his next semester. He can choose from 5 humanities courses and 8 science courses. In how many ways can he choose 6 courses if fewer than 3 must be humanities courses?