A=  0 0.3 0.25 0.1     D=  3 4

Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

A:

Q: 4. Classify the following differential equations according to whether they are linear or nonlinear.…

A: For (A), The above differential equation is linear. For (B), It is the same as dydt+1=0. So, the…

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

A:

Q: ту 3) 2xydy = (x3 +y=) ax

A:

Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Complete the following. (a) The graph of y = g(x) is shown. Draw the graph of y=2g(x−1).

A: We need to draw graph.

Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.

Q: D₂ tan³ x = 3 sec O 3 tan² z O secr O 3 tan² z sec²

A:

Q: 138) How many degrees is Zf+ <h? A) 360° B) 180° C) 90° D) 45°

A: As per our guidelines we can solve only one problem. So please repost the other questions again.…

Q: Q.2)(A) Determine (215) ² Σ (5)(2+1) of each point convergens or diverges: 13.0

A: Given

Q: Separable DE) y'ln² y + y√√x=0 y(0) = e

A:

Q: 20 18- 16 14- 12 10 8 b 4 2 1 2 Estimate the instantaneous rate of change at x = = 1

A: To find the instantaneous rate of change.

Q: 3. g(x) = (2x - 1)³

A:

Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: d. y""-6y" +12y' - 8y = 0

A: d) Given y'''-6y''+12y'-8y=0  The auxiliary equation is m3-6m2+12m-8=0 solving we get,…

Q: The trigonometric function is defined by ƒ(x) = 2sin4(x-7)+4 a) tate the transformations and key…

A:

Q: Q.2-Solve the differential equation (answer three questions only) lo d. y""-6y" +12y' - 8y = 0

A:

Q: Find the value of x. Round to the nearest hundredth. (6.4)x= 6

A: To find the value of x that satisfies the following equation.6.4x=6To round the answer to the…

Q: Q4:- Find the derivative of the function at Po in the direction of the vector AC. f(x, y, z) = x² +…

A:

Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: 2|6x + 4 ≥ 1 OX- 7/12 O-7/12 - 12/7 choose the right ans оо

A: solution:-26x+4≥16x+4≥12using properties of modulus6x+4≥12  or  -6x+4≥12 6x≥12-4  or  -6x≥12+46x≥-72…

Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

A:

Q: Q1 (a) Using the second shift theorem, find L-1 se s² +91

A: Aaaà

Q: Find given that cot (3x-2y)=2x-3y. dy da

A:

Q: Given the equation z = arctan(x- y²) with the change of variables x=s³-t³ and y=st² + s²t, use the…

A: The objective of the question is determine the partial derivative of the given function at given…

Q: Problem 1. A rectangular enclosure is to be built next to a river. There will be no fence on the…

A:

Q: If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2), find f' (5)=

A: Given problem:- If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2) Find…

Q: (b) The graph of y-g(x) is shown. Draw the graph of y-g(2x). X

A:

Q: y=? € x ² y² + (y²) ² = 11 - U

A: see below the solution and calculation

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

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

Q: Solve the differential equation. 10. ( cos 2y – 3x^2y^2) dx + (cos 2y – 2x sin 2y – 2x^3y) dy = 0

A:

Q: Question 14 If z= f(t); u = g(x); x = h(z), which of the following is/are correct? du du dr dz (a)…

A: To find out the correct option.

Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

Q: 4) x(xdy - yox) = y² lnx dx

A:

Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

A:

Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The equation (x-y)dx + ydy = 0 is homogeneous

A:

Q: A cube is box all of whose sides have equal lengths 3s². True False

A: a cube is made of 6 squares whose sides are of equal length

Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: Q:4) Use Green theorem and evaluate the line integral ${Mdx + Ndy} Where M(x,y)=y², N(x,y)=x², C is…

A: See the details solution in below

Q: When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the…

A: We have to find value of a to the nearest hundredth.

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

A: We know that maximum area of rectangle in any circle is square.

Q: By reversing evaluate LE O the order of integration double integral cos (x²) do dy LE

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

Q: A If A and B are in Golden Ration, then is equal to a. 0.618 b. 0.816 c. 1.608 d. none of these O a…

A:

Q: does xy=4 describe y as a function of x?

A:

Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: (1) IF: a 21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find a.b, a.c, č.ā (a+b).(a-b),(ã+c).(ā-) (ã+2b-3c). (ā-…

A:

Q: Question 11 Evaluate the limit: lim h→0 Question Help: Video (-5+h)² - 25 h

A: We can solve this as follows:

Q: sin () cot ()+cos ( cos (1) sec (7)

A: We use  sin(π+x)=-sin(x) cot(π-x)=-cot(x)  sec(π+x)=-sec(x)