Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial situation is from the p class. Solve me as many questions as possible, please 12.1+√xdx 를 x+1 11.f 15. f -dx (x+3)1/5 dx 13.fe√x dx 14.5 x √x²+1

Q: dz dz Use an appropriate form of the chain rule to find and du dv z = e¹0x²y; x = √√uv, Enter your…

A: This is a problem related to partial differential equation. Please follow the procedure given below.

Q: An equation for the line tangent to the graph of the differentiable function f at x = 3 is y = 4x +…

A:

Q: Use the properties of natural logarithms to simplify the function. f(x) = 3x - eln x f(x) =

A:

Q: Let f and g be functions defined by f(x)=x²+2x+2 and g(x)=x2-1 Consider the two statements I and II.…

A: The functions are given by fx =  x2+2x+2gx = x2-1The statements are I. The rational function fxgx is…

Q: Evaluate (to clarify, the lower limit is 0 & the upper limit is π/2) ∫π/2 sin5x dx 0

A: This is a problem related to integration. Please follow the procedure given below.

Q: dy 1. = dx xy-y+2x-2 xy+2y-x-2 y(-1) = -1

A:

Q: shark lends you $100 at 1% compound interest per week (this is a weekly, not an annual rate). (Round…

A:

Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

A:

Q: Classify the following as an ordinary or partial differential equation, give the order, degree and…

A: Here we have to find the type of differential equation it's order and degree with linear or…

Q: What is the general solution of the differential equation 2y"+y' - 6y=0? A There is no correct…

A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

Q: For a binomial test, if pn = 30 and gn=90, what is the value of n? 60 100 O120 150

A:

Q: Find g'(x) if g(x) = logx(3x)2. 2 In x 3 In²x 8'(x)= 2 In 3 x In²x 2 In 3 x In²x 8'(x)=- 2 lnx 3…

A: You need to simplify the expression of g(x) first and then differentiate that.

Q: dz Use an appropriate form of the chain rule to find z = 7x³y³; x = 5, y = tº Enter the answer in…

A: To find the derivative of z with respect to t

Q: : Solve the following first-order differential equation 2x³y' = y(y² + 3x²).

A:

Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine…

A: Given the ordinary differential equation is sin θy''' - cos θy' = 9

Q: Particular integral of (D2+9D+14)y=1+5x-3ex

A:

Q: lim _e¯x (x³ – x² +9) X18

A: We have to use the concept of limits

Q: Differentiate the function. y' y = ex+5+4

A: The given function is: y=ex+5+4   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power…

Q: Whenthe lim f(x) exists, the functionhasahorizontalasymtote .Whichof the followingisNOTtrue…

A:

Q: 16. 8 n=1 1 (2n)!

A:

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

A:

Q: 53. Prove the following limit formula for e: e = lim (1 + x) ¹/x x⇒0

A:

Q: What happened to 4/3? (exponent in numerator).

A: Let's solve given integration.

Q: In Problems 1 and 2, y = 1/(1+cie) is a one-parameter family of solutions of the first-order DE y'=…

A: Given y'=y-y2 y0=-13

Q: 7. Use the Ratio Test to show that R = √3. n=0 x 2n 3n has radius of convergence

A:

Q: Σnk 3-n converges for all exponents k. n=1 21. Show that nk 3

A: The given series ∑n=1∞nk3-n To prove the series is converges for all exponents k.

Q: The function f is defined for all in the interval 3 < x < 6. Which of the following statements, if…

A:

Q: For a binomial test, if pn True False 10 and qn = 30, then p www 0.25.

A: True

Q: Consider the following equations. y = x² - 4 y = -x + 5 x = 0 x = 2 Sketch and shade the region…

A:

Q: 27. Show that n=1 n! nn converges. Hint: Use lim n→∞ n (₁ + ²)² = n e.

A:

Q: Q / If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ A) = 0.2…

A: Given:…

Q: The function r(t) = 6i + 7 cos(t)j + 7 sin(t) k traces a circle. Determine the radius, center, and…

A: Given function f(t) = 6i + 7costj + 7sintk

Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xy' -…

A:

Q: Using the Laplace transform and showing the details, solve 1. 9y" - 6y + y = 0, y(0) = 3, y'(0) = 1

A:

Q: How did you go from x^5 to x^10 on the denominator? You divided everything by x^5 and then just the…

A: Limx-infinity(x3-3x5+5)/sqrt(x4+12x10+1).

Q: PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q (x) are inverses of each other…

A: Given: The given functions are p(x)=3x-24x+5, q(x)=2+5x3-4x To prove: we have to prove that the…

Q: x² +1/x² = 34 , find the value of x⁴ + 1/x

A: Square the given expression

Q: The management of ABC Corporation Ltd. plans to market a new speaker system. The marketing…

A: This question can be solved by the concept of rate of change of quantities.

Q: Find the equation for the tangent line of the graph of y = x² at (-1, 1). Equation: 1

A:

Q: PROBLEM 2 [TRANSFORMATION OF FUNCTIONS]: In bullet form, enumerate the steps. transforming g(x) = x²…

A:

Q: Discuss why it makes intuitive sense to presume that the linear differential equation y" + 2y' + 4y…

A: Given differential equation is y''+2y'+4y=5 sin t  .............................(I) Now, to find…

Q: What is the auxiliary equation associated with the differential equation y'"-3y" +4y=0? (A) There is…

A: solution is given below..option(d) is correct

Q: Solve the following partial function. dx + e3x dy = 0

A: Given query is to find the solution of the differential equation.

Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 8…

A:

Q: The differential equation 3 (3x² + y2) dx-2xydy=0 is homogeneous of what degree? A) 4 3 (C) 1 2

A: The explanation of answer as follows

Q: (a) Among ten randomly selected customers who want this type of racket, what is the probability that…

A: Follow the procedure given below .

Q: If x = √x^5y^5 + x^2y + xy^2, find:   zy zxy

A:

Q: 2. Explain what it means to say lim f(x) does not exist. Again, be sure to explain the concepts!!

A: Given :limx→3fx does not exist

Q: 1 1-x ² dx

A:

Q: If f(x) = (x - 5)ex, find f'(x) and f"(x). f'(x) f"(x) =

A: