Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increasing order. First number: Number Second Number: Number

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an=e2n/(n+2...

A: Given that - an=e2n/(n+2) an=ln(n+1)-ln(n)

Q: driver driving along a highway at a steady 41 mph (60 f/sec) sees an accident ahead and slams on the...

A:

Q: 8 cos3(x) dx

A: ∫8cos3xdx  let u=sinx  then 1-u2=1-sin2x=cos2x      ⇒du=cosxdx     Substitute in the integral       ...

Q: Consider the sequence 18 n cos(nn) an 2n 1 Write the first five terms of an, and find limn→∞ an. If ...

A:

Q: Use the figure to find the indicated derivatives, if they exist. (If an answer does not exist, enter...

A:

Q: Find the area enclosed by the x-axis and the curve y=4-x². 32 A -square units 3 В 32 square units 36...

A:

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated va...

A: solution

Q: Given the differential equation d?y 12. + 4y = 0 di? Determine the Characteristic Equation for the g...

A: We have to find characteristics equation

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

A:

Q: Determine whether the given sequence converges, and, if it does, find the limit. i. an = sin ii. an ...

A:

Q: dy - 6/7 = 3x dx and y(- 1) = - 3. Find the function y(x) satisfying The function y(x) satisfying dy...

A:

Q: Determine whether the integral is convergent or divergent. 1 dy 1 4y convergent divergent If it is c...

A:

Q: ft ft when the brakes are applied. A bus travelling at 66 along a straight, level road decelerates a...

A: This question can be solved by applying the equation of motion.

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square incr...

A:

Q: Write the function g(x) in terms of the function f(x). O al r) - -3 f(r)+?

A: Given, Functions f(x) and g(x) From the graph, f(-2)= 0 g(-2)= -2

Q: to, thenk is15 not a - andly-k) 5/15 not a If fQ) =0,thvnk 5/5 not cs ond Oxok) Is/15 not a

A: The Remainder theorem says that if a polynomial P(x) is divided by (x-a) then remainder obtained is ...

Q: Find the antiderivative of the integrand 49* dx . 72x (A) + C 2 In 7 49* В + C In 2 49* + C In 7 + C...

A:

Q: Label each of the following statements as true or false. If true, prove the statement. If false, pro...

A:

Q: Let g (æ) = 7/x+ 5x . Use the limit definition of derivative to find the derivative of g(x) at 2. Up...

A:

Q: Let F(x, y) = 1+ 4 – y². a. Evaluate F(3,1). b. Find the domain of F. c. Find the range of F.

A: Given:

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A:

Q: dx Evaluate the given function : Vä(1+væ)

A: Here we have to evaluate the given integral.

Q: Determine whether the given sequence converges, and, if it does, find the limit. i. An sin () %3D

A:

Q: Rework problem 8 from section 6.1 of your text, involving matrices A, B , and C. Use the following m...

A: We will use the following concepts to prove or disprove the following option. Results i) Matrix mult...

Q: 6x² – 2x +5 dx? What is 2x + 1

A:

Q: The graphs of the first and second derivatives of a function y = f(x) are shown to the right. Sketch...

A:

Q: Consider the surface given by the equation z - y = x2. Draw a total of at least 3 traces in at least...

A:

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a sl...

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: Let R be the region in the first quadrant, bounded by the graph of Y = VT, the y-axis, and the line ...

A:

Q: For which value(s) of a and b is y = abx concave up? b>1, a<0 00 0<b<1,a<0 b>1,a>0

A: We have find correct option

Q: raphs of x=f(y)=y(11−2y) and x=0 enclose a region in the first quadrant. Rotating that region about ...

A:

Q: Write a formula for the nth term an of the sequence and determine its limit (if it exists). It is un...

A: Given : 1) ln21,ln32,ln43,...ii) 0.9, 0.99, 0.999,....iii) 1, -14,19, -116,...v) cosπ, cosπ2, cosπ3,...

Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

A:

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower 20...

A: Solution ) u = 40ft/ sec , s = 200ft We know from newton law  v = u + gt  When we throw and stone go...

Q: 2x -1 Evaluate the given function S dx 2X+3 a.+In[3 + e2*] +C b.- In[3 + e2*] + C 3 3 --+In[3 + e2*]...

A:

Q: Given the differential equation y" + 2y' + 3y = 0 Determine the General Solution for the given Diffe...

A: Follow the procedure given below. 

Q: Evaluate J (sin t + 1)-1 dt

A:

Q: On which interval does the function f(x) = (x+ 5)/(x - 1) discontinuous? %3D O a. (1, 2) O b. (-2, 1...

A: topic - limits and continuity

Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...

A: Solution : Given that if we add 1 in denominator and numerator of a fraction we will got the new fr...

Q: Use Newton's method to find an approximate solution of 7 - 9x =x. Start with x, = 1 and then find x....

A: Here, the given equation is: 7-9x=x3⇒x3+9x-7=0 Let, f(x)=x3+9x-7 And, the initial value given is: x0...

Q: Without using calculators, of the rational function, find the domain, all the x-and y- intercepts; t...

A:

Q: Find the area of the shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

A:

Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: The revenue function, R(x)= xp(x), where x is the number of units sold and p(x) is the price functio...

Q: tan? 0 8. -1= tan 0 sin? 0

A:

Q: Find the area enclosed by the x-axis and the curve y=4-x2. A 18 square units 32 B square units 3 © 3...

A: topic - area under the curve

Q: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given by the ...

A: Verify that for all n ≥ 1, the sum of the squares of the first 2n positive integers is given bythe f...

Q: Theorem 1 Sequence Defined by a Function Let f(x) be a function defined on c, o] for some constant c...

A:

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: