From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different committees have at least 1 girl? 1420 1320 120 540

Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

A: Hence,  the population of insects after 3 days will be 682.25 => i.e. approximately 682 insects…

Q: A region bounded byf (x) = y = 0, x = 1, and x = 3 is shown below. " X Find the volume of the solid…

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Q: What is the total change of f(x), if f'(x) = 4x² + 6, over the interval [-1, 2]? -18 ထို့ကြ ကြ O O…

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Q: Answer true or false. The function f(t) = (e) 10 is of exponential order. O True O False

A: The objective of the question is checking the given function is exponential order or not .

Q: The graph below is the function f(x) 4 02 -5-4-3-2-1 7 -1 0-2 3 -4 -5+ 2 3 4 est

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Q: Find the area of the region enclosed by the graphs of y = 8 − 3x, y = 6 − x, and y = 1. (Use…

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Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

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Q: Find the derivative of G(x) = √ x³ t.csct dt. O-3x5 csc r³ cot x³ -3x² csc x³ cot x³ Ox³ csc x³…

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Q: The sequence {2} is defined by letting a₁ = 2 and successive terms are given by the recurrence…

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Q: K Use properties of power series, substitution, and factoring of constants to find the first four…

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Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 3. Then use the factor…

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Q: 33. The eighth term of (7 + 5y)" 35. The fifth term of (x - y) 37. The ninth term of (a-36³) 1

A: eighth term of (7 + 5y)14 here bionomial expanding formula  (a+b)n  = an + (n 1)an-1b +..... Tr+1…

Q: 25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres,…

A: Given: a partical P is moving along a straight line. at time t sec, t>=0 the displacement x…

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

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Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A: Concept: Integration: Integration is the process of connecting the parts to create the whole. We…

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 13

A: We have to find out conservative or not

Q: 1-Show that the function :defined by the base f(x, y) = x³ 3xy² - harmonic function

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Q: df Use integration to find f(4), if = dx O -26.667 O -19.667 O 26.667 O 30.333 5x2, and f(1) = 7.

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Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: PLEASE TELL ME WHICH SOLUTION IS CORRECT. THE ANSWER PROVIDED ISN'T SHOWN IN THE PICTURE

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Q: The trigonometric substitution x = = 3 sin 0 has led to the integral I = f tan³ 0 sec 0 de which can…

A: Topic:- application of integration and trigonometry ratios

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: 2. What role do binomial coefficients play in a binomial expansion? Are they restricted to any type…

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Q: Problem 5: ( (a) Find the vertical asymptotes of the function Y 2² +1 3.r-2.r²

A: Given: a)     y=x2+13x-2x2 For rational functions,the vertical asymptotes are the undefined…

Q: (10) Find the volume of a solid S where the base of S is the region enclosed by the parabola y = 1x²…

A: Solution:            lets take the integral over the y axis. We will notice that y=1-x2 is an upside…

Q: Solve the equation sinx [0, 2T). 22 7л 11л 6 6 П О, л, , л 29 ОО, л, а, 0, 6 5 л 6 Зл 29 11 6 П 5 л…

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Q: 10. Determine whether the following series converges. k 11k4 +1 Σ(-1)+1- k=1

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Q: S: z = √x² + y², (x-1)² + y² ≤ 1

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Q: 5)  Solve the initial-value problem by using integrating factors. xy' = y − 3x3, y(1) = 0 y(x) =

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: f(x) = 3x^3 + 9x^2 + x + 3 Find all possible zeros

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Q: Rewrite the following equation with the variables separated: y dy cos y dy dx = dy cos y o dy = 1 =…

A: We have to find out solutions

Q: Write a function in degree mode and a function in radian mode to model the grap h(t)= h(t)=

A: Given: the graph is given to you in the question we have to find the function in degree mode and…

Q: Find the exact value by using a half-angle identity. sin 75° ① 专业 這次難 這次的

A: We will solve the required.

Q: Find the derivative of the function. h(s) = (s³ - 6)² h'(s) =

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Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

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Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

Q: (e²y + te³y)dt + (te²+2) dy=o Initial condition: y(o)=-1

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: A if statement I is false and statement II is true; B if both statements I and II are false; C if…

A: A graph of the function f is given below. To determine the correct choice for items 4, 5 and 6.A if…

Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Compute the Jacobian for the substitutions = psin o cos 0, y = p sin osin 6, z = p cos p.

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Q: Which value for 0 is a counter example to sin² 0 + cos² 0 = tan²0 as an identity? O O | સ sin² 0 +…

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