Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. 2+x y=1+2√x.yy

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

A:

Q: given u = and v= find 2u+5v

A:

Q: Question 2 Find a differential equation whose general solution is y = c₁est + c₂e-2t. 0 2

A:

Q: Calculate the double integral. 7x S₂ x ² + x²0² +y dA, R= [1, 4] x [0, 1]

A: Explained below

Q: Prove that (3-2)(x+2) = 3+2i ifitues.

A:

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

A: To find out the integration.

Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

Q: Evaluate 1) |x-2|dx

A:

Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: cx²+1 ₂. F(x) = [²² - -H (t³ - t) dx

A: We have to find derivative

Q: Use the graph to find the point(s) of inflection of f. (Give your answer in the form of a…

A: Given: the graph is given we want to find inflection point and concave down range         Inflection…

Q: Evaluate the indefinite integral f7 sin v cos vdv =

A: Given ∫7sin6v cosv dvTo evaluate the integral:

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

A:

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

A:

Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

A:

Q: ΒΣ 3 Θέλη

A: 3.The given series ∑n=0∞3.12n

Q: Q1/ Answer the following: A. Find the shortest distance between the point A (3, 10) and the line y =…

A: We can find the shortest distance as below.

Q: Evaluate cos/dx 2 1) co S

A:

Q: Question 1 Given the series: 2³-(²3)* Σ5. k=0 k does this series converge or diverge? diverges…

A: The objective of the question is check the converges of series and determine the  sum of series .

Q: Find the definite integral that will compute for the area of the region bounded by y = tan x, x = 0…

A: We can find the area bounded by the curve .

Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series.

A: The given series: ∑n=2∞x+2n2n ln n

Q: Consider the graph of the function f(x) given on the next page, which consists of line segments and…

A:

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

A:

Q: Q2: Find the 1. y = 1- 2. y [In(x² + 2)²]³ 3. y = xcsex tan² (cos x) 4. y for the following…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: A store finds that its sales revenue changes at a rate given by S'(t) = -30t² + 400t dollars per day…

A:

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Evaluate the integral and check your answer by differentiating. x8+8x5 - 1 x7 S dx = +C

A: To find out the integration.

Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

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

Q: Find the definite integral that will compute for the area of the region bounded by y = ex, y = 0, x…

A:

Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A:

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y² ;

A: Find the derivative

Q: Solve the given initial-value problem. y(x) = y" + 6y' 7y= 11e²x, y(0) = 1, y'(0) = 1 11e2x -7.x 7e…

A:

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

A:

Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

A: Here we have to choose the correct option.

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

A:

Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

A:

Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

A: I have stated the used formulas in the solution

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: Definite integral

A: Given :Definite integral

Q: Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

A:

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4?…

A: The graph of the function y = f(x). With the help of this graph, we have to show that, Is the…

Q: 2-) -100

A: Since you are asking multiple questions. We are answering only one question as per our guidelines.…

Q: prove that :: 2) (1+i) (1-1)² = 64

A:

Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

A:

Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

A:

Q: Find dy x 3 In (x - y) = xy + y²

A: