2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: Either show that the improper integral converges and find its value, or show that it diverges S* the…

A:

Q: Let D be the region enclosed by y = 5x, y = x and x = 1. The volume of the solid formed by •…

A: Here we have to find the volume .

Q: 00 dz Either show that the improper integral converges and find its value, or show that it diverges…

A:

Q: Indicate whether the following statement is true or false. P(x) Let P (x) and Q (x) be polynomials…

A:

Q: The growth rate in the weight w(t) in kg of a Persian cat can be represented by w'(t) = 6e-0.25t,…

A: Here we have to use the concept of integration for solving the given problem.

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: 31 What is the volume of this cylinder? 6 m 7 m Figure not drawn to scale Use T 3.14 and round your…

A: Given :Diameter of cylinder= 6 mHight of cylinder = 7 m

Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: |2 tan(x)dx

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

Q: Find the limit. lim (t i - 8 j+ 1? k) k lim (t i-8 j+t k) = j+ i i+ i 1-2

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(2) = | : 1 -dt 1 + t5…

A:

Q: 261. Glycerine is flowing into a conical vessel 18cm deep and 10 cm across the top at the rate of 4…

A:

Q: Test the series for convergence or divergence. E(-1yr (3n – 1). 7n +1 n-1 Evaluate the following…

A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

Q: Evaluate the limit. 12 lim x-5 x2 + 2x – 35 5 Give your answer in exact form. If the limit does not…

A: topic - limits

Q: dy = ky dx x = eky y = e-kx Option 2 O Option 4 O y = ekx x = e-ky Optio n 2

A: The given equation is dy/dx=ky.

Q: answer

A:

Q: 3. A particle moves along a coordinate axis. Its position at time t (sec) is s(t)= [S(x)dx feet,…

A: Note:- As per your request i am solving sub part d and e from given sub parts

Q: 2) x2 + 4x+ 3By partial

A:

Q: Evaluate with out hoH LnX lim

A: The given limit is: limx→1lnxx-1   As we know from the Taylor series with center 1:…

Q: Find the derivative of the function at Po in the direction of A. g(x, y) = x - (y/x) + V3 sec-…

A: Given problem:-

Q: Evaluate the limit. 10 lim x→1 х — 1 х2 + 8х — 9 Give your answer in exact form. If the limit does…

A: We have to check limit exist or doesn't exist

Q: This equation is. . .differential equation dy y2 = X x² + dx ху Bernoulli Separable Homogenous…

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Identify the graph of the curve by first sketching the graph of r as a function of 0 in Cartesian…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given region is bounded by the function y=16x-2x2 and y=0 and rotating about y axis.

Q: y" + 3y + 2y = x2

A:

Q: 3x 4x e, y = e", and Sketch the region enclosed by y = x = 1. Find the area of the region.

A:

Q: Find the exponential function that contains the points (2,48) and (3,192).

A:

Q: Determine which inverse trigonometric function g has the derivative g'(x) = %3D V1-x2 (Use symbolic…

A:

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

A:

Q: Find the inverse of the function. f(x)= 9 + sqrt 4x -4

A:

Q: -e elx

A: To evaluate: ∫ex⋅1−e2xdx  I = ∫ex⋅1−e2xdx Let, ex = t ⇒exdx = dt

Q: This matrix is a * 0 4 4 0 4 0 0 zero matrix O

A: Solution : The given matrix is

Q: In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed…

A: Given equation is dP/dt= k√t

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: 5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2,…

A:

Q: What is order of the equation 2y" + 2y' +3 = 0 Second order O Third order O First order O Zero order…

A:

Q: sin20 6. J 1-cos 0

A:

Q: 10. S(tan x – 1)²dx

A: Topic:- application of integration

Q: Find lim f(x) for the given piecewise function. x→4 2x + 3 if x 4

A: The given function is:

Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

A:

Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

A:

Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

A:

Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…