Find the limit by rewriting the fraction first. ху — у — Зх + 3 lim х - 1 (x,y)>(1,4) x+1 ху — у — 3х + 3 lim (Simplify your answer.) х-1 (х,у) —(1,4) x+1

Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

A:

Q: If the limit of x->3- and x->3+ is +♾️, while f(3) is 2, is this a removable or infinite essential d...

A: Given

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: -to determine if the sequence {ne"} is strictly increasing or strictly decreasing. An an+1 Use the r...

A: 1st we have to find an  then we have to find an+1 . Then by ratio we may find it's increases or decr...

Q: Do the following: (a) Construct the table of values; (b) graph the function; and (c) find the indica...

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

A:

Q: (x + 1)2 and the line (x+1)?, 1, where a is the same constant. 4. Let Si be the area of the region b...

A:

Q: Let (x) = x In x and P4(x) be the fourth-degree Taylor polynomial for f about x = 1. Using the defin...

A: Find the fourth degree Taylor polynomial for f about  x=1 then find maximum error in approximating f...

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 + 32...

A: In this question we have to solve the following question.

Q: Given 2 cot- (esc) if – 3 3. a. Determine if f is continuous or discontinuous at r = 0 and at r = 3...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on ...

A:

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

A:

Q: the weight of an object to its volume. re Density.

A:

Q: Solu) du. rg(u) = Using u-substitution, the integral u+1 reduces to a new integral , evaluate the ne...

A: Explanation of the answer is as follows

Q: dx (x² + 9)² 5.

A:

Q: Calculate F. dS where F = (e" sin y, e" cos y, yz²) S is the surface of the box bounded by the plane...

A: We have to find double integral of F. ds

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

A:

Q: Tes n=1

A:

Q: 4. Find the area enclosed by the curve: x=t2 – 2t, y= vt and the y-axis

A:

Q: Find the radius of convergence of the power series. (If you need to use co or -m, enter INFINITY or ...

A: Consider the power  series            ∑ an (x-a)n then Series will convergent if |x-a|<R , where ...

Q: Question 15 Evaluate the integral V4x 4x4 12x2 +7 xdx. (4x* – 12r?+7) /2 +C 24 B(2x-3)/4x4- 12x2+7 +...

A:

Q: 2. What is the impact propensity? Explain what this means in words. 3. What is the long run multipli...

A: Answer is in step 2.

Q: Find the nth Maclaurin polynomial for the function. 2x - 2 f(x) = n = 4 X +1' Pa(x) %3D

A: Maclaurin series is given by f(x)=f(0)+xf'(0)+x22!f''(0)+x33!f'''(0)+x44!fiv(0)+.... Given f(x)=2x-2...

Q: 7 1 Calculate the following limit. Let an = Vn + In (n) and bn Vn (Give an exact answer. Use symboli...

A: Let's find. 

Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = fi(x) +...

A:

Q: Find the nth Maclaurin polynomial for the function. 4x - 1 f(x) : n = 4 x + 1 Pa(x) =

A:

Q: Find dy/dx for the following function: X+ tan (xy)-0

A:

Q: Show whether the following series converges 1 1 1 +. 82 1 22 52 (Зп — 1)° using the comparison test.

A:

Q: (a) With the use of a suitable limit, find the first differential of Vr² +b² with respect to r i.e. ...

A: topic - derivative using first principle

Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: an+1 Jse the ratio to determine if the sequence {ne} is strictly increasing or strictly decreasing. ...

A:

Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

A:

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

A:

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A:

Q: 9 10 handwritten

A: We have to find the derivative of the given function using the rule of derivative  

Q: ry' – y = x²e=z

A:

Q: „3x -dx be given. If u=e* + 2, then the resulting integral is e+2 Jf(u) du. Compute f (3). Let A 3 B...

A:

Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

A:

Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 Σ f(x) n = ...

A: Explanation of the answer is as follows

Q: Consider the function f :R →R given by f (x, y) = e* In(1+ y) Find Vf. What is the rate of change of...

A:

Q: Find the radius of convergence and the interval of convergence. Σ k(k+ 1) k=1 1) First apply the Rat...

A:

Q: 3. Find dx dy d²y and y 1+t and if x = %3D dx2 1+t

A:

Q: 2. Divide the class into groups of 10. Measure the height of each member. Find the sampling distribu...

A:

Q: Find the radius of convergence of the power series. (If you need to use oo or -co, enter INFINITY or...

A:

Q: Use the following results, if needed, to determine whether each series converges or diverges. If the...

A:

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

A:

Q: Find the radius of convergence and the interval of convergence. Σ k(k + 1) k=1

A: To determine: The convergence of the power series ∑k=1∞ xkkk+1 Concept used: Ratio test: R=limn→∞an+...

Q: a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x....

A: