1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

Q: Find the interval of convergence for The interval of convergence is a E esc # $ 2 9 20 W C 3 e L 4 r…

A:

Q: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.

Q: Sketch the region enclosed by y = e, y = e¹0, and x = 1. Find the area of the region.

A:

Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

A: Differentiation

Q: Compute. 13 Σκ k k = 0

A: We have to find out  sum

Q: The Area bounded by the parabola ay=x^2, the x-axis, and the line x=b is revolved about the x-axis,…

A: Given, Parabola- y=f(x)=x²/a Line- x=b Revolved about x-axis

Q: Find the exact coordinates of the centroid for the region bounded by the curves y = 4-2² and y = 0.…

A:

Q: 3 The absolute minimum value of f(x)=x³ on the closed interval [-1,8] is a) 0 b) -1 c) 1 2 d) -…

A:

Q: Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the triangular…

A: I am attaching image so that you understand each and every step.

Q: Use the law of cosines to determine the length x in each figure. Leave your answers in terms of…

A: The law of cosine is: c=a2+b2-2abcos C

Q: Find the length of the arc of a circle of diameter 8 meters sub tended by a central angle 2pi/3…

A: Let "θ" be a central angle in a circle of radius "r". Let "s" be the length of the arc cut off by…

Q: Estimate the slope of the tangent line to the curve at the given point (-0.5,4.998) on the graph to…

A: Given that,

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A:

Q: 3. Let u = f(x, y), x = r cos 0 and y = r sin 0. Show that: 1 1 Urr + −Ur + - U00 = Uxx + Uyy. p2 r

A:

Q: 8 1 X = Σ" with convergence in (-1, 1), find the power series for 1-x n=0 1 - 8x³ 8 n=0 Identify its…

A: Let's find power series and it's interval of converges.

Q: a. Interest is compounded quarterly b. Interest is compounded daily c. Interest is compounded…

A: Follow the procedure given below.

Q: Find the gradient of f(x,y,z) = (x² + y² + z²) Vfl (1,2,2)=(i+₁+O (Type integers or simplified…

A:

Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

A:

Q: Jse differentials to approximate 47. (Express as a rational number.)

A:

Q: Help please

A:

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: Test: Test 2 (11 problems) In the following problem, begin by drawing a diagram that shows the…

A:

Q: Find the average value of f(t) = -2te Answer: -0.63 on the interval [0, 1].

A: topic- average value of function over interval

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 1/3 sq. units 1/4 sq. units…

A:

Q: 11. S x + 4 x² + 5x - 6 dx

A:

Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5. Let f(x)=log, (x+1). a. Complete the table of values for the function f(x)=log, (x+1) (without a…

A: We are given f(x) = log3(x+1)  We have to find  Values of f(x) for following values of x without…

Q: Please

A: Please refer to the image below

Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: incorrect please re-provide

A:

Q: [1 1) If A = 3 15 2] 4 6] B = [-3 -21 -5 314 4 253 3. [P 91 Find: D = r s tu

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Volumes By Disk Method. Find the volume of the solid generated by revolving the shaded region about…

A: Disk method,  V=π∫abf(x)2dx  (about x-axis) V=π∫cdf(y)2dy  (about y-axis) We have, a=0, b=2,…

Q: A person starts walking from home and walks: 2 miles East 2 miles Southeast 5 miles South 2 miles…

A:

Q: (d) √ ² (3 (3 − z)(3z + 1) dz. 0

A:

Q: Given the graph which consists of lines and a semicircle determine ₂ f(x) dx (4,2) 2 3 4 5 -1 -1…

A:

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 47

A: I am attaching image so that you understand each and every step. Answer is 227π512 square unit

Q: In 23 In y SS 10 Evaluate the integral The value is. (Type an exact answer.) ₂x+y dx dy.

A: The given integral,     ∫0ln 23∫0ln yex+ydx dy

Q: A population of 800,000 microbes increases at the continuous rate of 4% per day. a. Carefully sketch…

A: Given: population of 800,000 microbes increases at the continuous rate of 4% per day. Find: sketch…

Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

A:

Q: Q3: A. By power series, prove that: d 4 sinhx dx coshx

A: Explanation of the answer is as follows

Q: Find the centre and radius of the circle x² + y2² - 4x+6y-23 = 0. O centre (2,-3), radius 6 O centre…

A:

Q: Find the volume generated by revolving about y = 2, the area bounded by y² = x-1 and y = -x +3.…

A:

Q: Given the graphs determine the integral to find the volume, if it is rotated about the x- axis (1,…

A: We have to find the volume.

Q: Find the interval of convergence for The interval of convergence is a E n=1 (x − 2)" - n² 2n

A:

Q: Calculate the area contained between the curve y = cos x, π<x< , and the line y =

A: Given:-y=cosx, -π&lt;x&lt;πy=1/2

Q: Using Root Test the series Σtan where n 7n4 an = 3n4 + 4n - 5 diverges since 7 lim an == n→+∞ 3 the…

A:

Q: Use a horizontal element to determine the area bounded by y=x² + 1, y=x, x=0 and x = 1. Which of the…

A: Given: y=x2+1, y=x, x=0 and x=1   Now find the point of intersection between the curve y=x2+1 and…

Q: Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

A: The given curves are; y=8x, y=2x, y=0 and x=3. Now find the point of intersection between the curve…