5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is the sum of the first 40 terms?

Q: 4k? – 2k + 6 8k7 + k – 8 O The series converges. O The series diverges.

A:

Q: Score Grade/Section: Date 13. What is the solution of the inequality? A. x > -1 or x 1 or x -2

A:

Q: Find the solution to the differential equation y' = 2xy? which satisfies the initial condition y(2) ...

A: Given query is to find the solution of the differential equation.

Q: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

A:

Q: D)

A:

Q: 1. Write a differential equation that models the given situation. The stated rate of change is with ...

A: let P  denote pressure of a gas T is temperature of gas V is volume of gas 

Q: | fdy dx f(x, y) ds = " f (x(1), y(1), dt dt

A:

Q: se the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. D...

A:

Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

A:

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

A:

Q: f(x)= x-5x^1/5 A) Use interval notation to indicate where f(x) is increasing and decreasing.  Incr...

A:

Q: 1. A manufacturer spends z thousand pesos on labor and capital. The number of units of labor obtaine...

A:

Q: een integrals within a region of th ne line integral of its boundary, m fically we have: be a simple...

A:

Q: f(x) = X-5 if xŹ 2 at x = 2 2x if x< 2

A:

Q: Use the formula for the binomial series: m(m-1).(m-k+1),k + ... m(m-1). 2! (1+ x)" = 1+ mx + = 1+ E=...

A: Put m=-3 in binomial series. And follow step 2nd . 

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D f(2...

A: here we use the integration by parts see below the answer and calculation

Q: paln 7hours व ग वपते and ditAtent pame cun mety he pea. in 12heurs. How lons do.cs it take both पकर्...

A:

Q: If the Taylor series of f (x) at a = 3 is (x- 3)" 2"(n + 2) n=0 Then f(4 (3) is: A) 24x6 4! B) 24x6 ...

A:

Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that: ddx(cot-1x)=-1x2+1ddx(cos-1x)=-1...

Q: Evaluate the following limits if they exist. 1 — х — е" a) lim 2(1 — е") b) lim (1 + sin x)'/= sec x...

A:

Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

A:

Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

A:

Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues)....

A:

Q: When answering optimization problems, why must the derivative of the function of whatever is being o...

A: While optimizing problems we need to calculate the minimum or maximum  value of a function. For exam...

Q: Find the derivative of the function. Q(x) = V ex + x Q'(x) = %3D

A:

Q: 2 an is an infinite series with partial sum Sy = 9 – N2 Suppose that n=1 16 What are the values of а...

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A:

Q: * Profer fies of Dete If (Alis square matrix e If eveay allelemets in aone Veead or co of cAi are Ze...

A:

Q: is

A: We will find the derivative using quotient rule. 

Q: If you are doing least to greatest and you have 0.750 and 0.3 do you add two zeros or keep 0.3 the s...

A:

Q: Evaluate the following iterated integral. 1- y² (x² + y²)° dx dy 1 0.

A: double integration changing into polar form

Q: Let R be the region in the half plane x 2 0 bounded by the curves y=-5x + 5 y = x2 - 1 *= 0 Compute ...

A: Solution

Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

A:

Q: Find dy. y%3Dyx+4

A:

Q: sin 4x Given: - Txwhat is the appropriate formula to find the integral? cos?(4x) (2 – 3 sec 4x) 1 (A...

A:

Q: E(-1)" (~1)nn! n=1 en

A: Given series:-       To find:- Given series is convergent or not

Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7  

Q: Evaluate the integral. (Use C for the constant of integration.) 9 - x xp

A:

Q: an experiment in which a coin is tossed thrice. Let X be the number of heads. Find the mean, varianc...

A: We will find mean, variance and standard deviation

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =...

A:

Q: Find the derivative of the function. F(e) = (3t + 18)2/3 2 f '(e) = 3/ 31 + 18 Need Help? Read It

A:

Q: 5+ 4 -5 \-4 -3 -2 -1 1 2 3 4 5 -3 -4 The function graphed above is: Increasing on the interval(s) De...

A:

Q: 10.fx'e'dx Task #2: Solve the following integrals of power of sine and cosine, tangent and cotangent...

A:

Q: A triangle has vertices A (2, 3, 7), B (0, -3, 4) and C (5, 2, 4). Use vector multiplication to: a) ...

A: Given that - A triangle has vertices A (2, 3, 7), B (0, -3, 4) and C (5, 2, 4).

Q: Find the limit by rewriting the fraction first. ху — Зу - 7х + 21 lim х - 3 (х,у)— (3,8) x#3 ху — Зу...

A:

Q: Hannah deposits $1,100 at the end of every 3 months in an RRSP that is earning 6.60% compounded semi...

A: Given: Data is given

Q: L{f(t)g(t)} = L{f(t)}L{g(t)}, where both f and g are continuous and of exponential order. True False

A: We have to find the reason

Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: One of the following series is convergent. A) E-1(-1)" 21 3n+1 100 2n B) E1(-1)" 3n+1 C) (-1)" 100 3...

A: We have to check whether the given series are convergent or not. To check convergence we use Alterna...