Find the least amount of different numbers to pick from positive integers that are at most 100 to guarantee two pairs of numbers that add up to 101.

Q: III. For each of the following series, determine whether it is convergent or div your answer briefly...

A: We have to consider the given series are convergent or divergent

Q: 14) 4y" +4y'+ y 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a +y - 4x + 10y + ...

A: (a) x2+y2-4x+10y+2=0comparing with general form of eq of circlex2+y2+2gx+2fy+c=02g=-4⇒ g=-22f=10⇒ f=...

Q: 1 1 5' 6 1 Find an explicit formula for the sequence ÷, - - 3' 4 ... 2

A:

Q: Question 3 of 11, Step 1 of 1 Correct The weekly revenue from the production and sale of x units of ...

A: Given problem The weekly revenue from the production and sale of x units of coal is given by R(x)= 1...

Q: PERFORMANCE TASK Carl and his friend James are having trouble using the different methods for findin...

A:

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: How many fraction terms are there in the partial fraction decomposition of x3 + x2 + 5 ? æ(2x – 5) (...

A:

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Find the value of a so that the function f(x) = xe has a critical %3D point at x = =D3. NOTE: Enter ...

A:

Q: 2. S(t3 – 2t2 + 4t – 3)e2t dt -

A:

Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: Find constants a and b so that the minimum for the parabola f(x) = x- + ax + bis at the point (5, 9)...

A:

Q: (12 let y.(z) be the solution for the initial valve problem given belaw. e y' + 6x"y = In(x), x>0, y...

A: The given DE is: x5y'+6x4y=ln(x)x...(1) x>0 & y(1)=5

Q: 3. s varies directly as r and inversely as square of difference of q to t. If s-12 when r-10, q=5 an...

A: s varies directly as r and inversely as square of difference of q and t. If s=12 when r=10, q=5 and ...

Q: Let C be the graph of the equation In(3y – 2e") = sinh (ma) - tan(y- 1). dy (a) Find da (b) Find an ...

A:

Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.

A:

Q: 24 3T Find the exact value of sin20 given tan0 == and t <0 < commanu option Find the evact valuo of ...

A:

Q: {vñ – vn+1

A:

Q: 2. Consider the series E (In(2n + 1) – In(2n – 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {...

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

A: Topic:- algebra

Q: This is the graph of a function. -5 -4 -3 2 -2 -3- -4+ -5+ Choose the graph of its derivative from a...

A: Given query is to find the graph of the derivative.

Q: Use the given graphs to sketch the parametric curve x=f(t), y= g (t). x=f(t) y =g(t) 2 2 -1 2 -2 -1 ...

A:

Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e" fin...

A:

Q: Given the following matrix and its eigenvalues 25 has eigenvalues R, = -3 and R, = 3 1. Find the mat...

A:

Q: Let f(x) = 9 cos(cos x) f'(x) =

A:

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A:

Q: If f(x)= x³ -3x² +2x -1, then what is f' (-1)

A: f(x) = x3 -3x2 +2x -1 

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

A:

Q: Sieun hits golf balls into the air, Each time she hits a ball she records 0, the angle at which the ...

A: We have to find the graph is increasing or decreasing at θ=50 and an expression for the function of ...

Q: To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one...

A: ∫-x2+9xdx

Q: Question The function s(t) = 3t2 – 4 gives the position in feet of a moving object at time t seconds...

A:

Q: Given the following matrix and one of its eigenvalues 10 -9 A = and its eigenvalue R, = 4 6 -5 1. Fi...

A: Topic:- matrix algebra

Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

A:

Q: Polyno (-x6+ x5+7x2 -9) / (x4)

A: Devide each term

Q: Find the expression of the general term of the sequence given by: 2 4 8 1, 2'6' 24' 120’ 720 16 32

A:

Q: Determine the interval of convergence of 5 –1)"3nx" n² – 5 n=1

A: Use the ratio and find the limit then check for convergence. 

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

A:

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

A:

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A:

Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O c...

A: As per guidelines we are bound to solve first question only... Thank you

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: (a) Use the power-law expansion for eox and sin(nx) near x = 0 to approximate the integrand as a cub...

A:

Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

A:

Q: x+3,if x2

A:

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm. U...

A:

Q: – 4x + 30 The partial fraction decomposition of can be written in the form of 8x2 + 34x + 21 f(x) g(...

A:

Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: Consider the function f(z) = 2 sin on the interval [0, 19]. %3D 2 4 6 8 10 12 14 16 18 Find the aver...

A: