component form or standard basis vectors. Express numbers in exact form.

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

A: We need to interpret the problem for given data.

Q: Use L'Hospital's rule to determine the following limits: 3sin5x i. limx¬o 6x i. lim- log2 x log3 x '...

A:

Q: Find the angle 6 between the vectors. u- (1, 1, 1), v- (5, -4, 3), radians

A: Angle between the two vectors can be found by applying dot product of two vectors.

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A: To determine the convergence of the series ∑n=1∞ennn Concept used: The root test 

Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: valuate the function for the indicated va F(x) = 6 |x|| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) f)

A:

Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

A:

Q: There are some sweets in a container. When the sweets are put into bags of 4 or 10, there are no swe...

A: topic - lowest common multiple

Q: Given a function whose graph is shown below. The function is continuous on(-1,0]. 14 O Always True O...

A:

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

A:

Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

A:

Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

A:

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: Find the exact value of cos(sin-G)) COS

A: Solving the problem by finding the exact value.   NOTE :: As per our Expert guidelines we are suppos...

Q: What is lim ? X-0+ x

A:

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: The alternating series (-1)" . converges. (You do not need to prove this, but you can if you 1 3" n ...

A: Here, the given series is: ∑n=1∞(-1)n13nn Now, the given series is an alternating series with 13nnn=...

Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: Suppose that P2(x) = a + bx + ca? is the second degree Taylor polynomial for the function f about æ ...

A: Given : P2(x) = a + bx + cx2 is the second degree Taylor Polynomial for the function f about x = 0. ...

Q: 3. Find the solution to the initial value problem y'+ y = 12t, y(1) = 6. 4t3

A: This question is related to differential equations, we will solve it using given information. 

Q: Complete the following table. 2 x2 ±1 ±0.5 ±0.1 +0.01

A: We can complete the table as below.

Q: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: Create an inverse variation problem, determine the equation, and graph it on a coordinate plane. Wri...

A: Please see the below picture for detailed solution. 

Q: S125 – 2² 18x? Evaluate the integral: -dx 25 – x² (A) Which trig substitution is correct for this in...

A: ∫18x225-x2dx

Q: 2) Find the equation of the tangent plane to f(x,y) = e*y + y?e1-y at (0,1).

A: Given fx,y=exy+y2e1-y Point of Tangent x0, y0=0, 1

Q: 22, what is

A:

Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx

Q: An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole...

A: The rate of change of the water depth is:-

Q: Use f(x) = 5x - 6 and g(x) = 4 - x2 to evaluate the expression. (a) f(g(0)) 25x – 30 (b) g(f(0)) -12...

A: f(x) = 5x - 6 g(x) = 4 -x2 now  f(g(0)) = f(4-x2 ) = 5(4-x2 ) -6                           =  20 -5x...

Q: Set up an integral that represents the arc length of the function y = 4x4 + 5x from the point (0,0) ...

A: We have to find a, b and f(x)

Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: 7-18 Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the ...

A:

Q: sec -dx = - 3 lIn sec - + tan 3 +C A True B False

A:

Q: The area, in square inches, of a certain right triangle is given by the equation A b(2b), where b is...

A: Given,          The area, in squares inches, of a certain right triangle is given by the equation A=...

Q: Let a be a real number. Consider the series Σ where an = cos(n7) An, 2n +1° n=0 Find all a > 0 such ...

A: Given a series,

Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

A:

Q: 1 Use the trapezoid rule and Simpson's rule to approximate the value of da with n = 4. 9 + x3 Note t...

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

A:

Q: f(−4) = −7,     f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

A:

Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: [1 23 A 3 4 5] Given matrix A above, in the matrix multiplication: IxA = A.What is matrix To create ...

A: Find your answer below 

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

Q: Find the absolute maxima and minima of the function on the given domain. T(x.y) =x +xy+y- 12x+2 on t...

A: Given

Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: The table below gives the percentage, P, of households with a VCR, as a function of year. Year 1978 ...

A:

Q: Ex. 124 A body cools from 75° to 55°C in 10 minutes in a surrounding of 31°C. At what emperature wil...

A: Given

Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .