Find an expression in a and b for the value of the definite integral: ∫ba [2x2 + √x + 5]dx

Q: If y = 1/2 u + 4 u - 4 3/4 O-25/289 and u = none of the above √x + x 10 find dy dx when x = 4.

A: 1. y=u+4u-4 and u=x+x102. y=fx2+9 and f'5=-2

Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: What is the second derivative of ƒ(g) = 12g² + 15g² +26g³?

A:

Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √√₁-x² dy = 0, y(0) = 1/2…

A:

Q: Simplify the difference quotient. f(x) = 3x2 + 4x — 2 show ALL of your work in order to receive…

A:

Q: 5. Part 2. Solutions to Some First Order DE. Solve the following DE: dy 2y 3x + ; y(1) = −1 dx x 2y

A: Use substitution method

Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A:

Q: Q2: Find the double integration f (4x + 2)dydx D = {(x,y):0<x<2,x?<y≤2x}

A:

Q: Find the differentiation and provide complete solution a. y=(x2+1)3 b. f(x)=(3x+2x2)3

A: Here, to find the derivative of the given functions. For that, we use the chain rule and power rule…

Q: 27 Y = A tru ® Erro

A: The range of the basic arctanfunction is -π2&lt;arctanx&lt;π2Therefore the range…

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A: We need to calculate circulation &amp; outward flux across the boundary which can be calculated as

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: 1. (cosx-2xy)dx + (ey - x²)dy = 0;…

A:

Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

A: To find the derivative of the given functions.

Q: 1. Consider the function y-3cosx-2x-1. a. What is the amplitude of the function? b. What is the…

A: Note:- according to the company policy we can do only three subpart of a question so please upload…

Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

A:

Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: Find an explicit solution of the given initial-value problem dy y²-1 x² - 1 = y(3) = 3 dx y−1 x-1 y…

A:

Q: The graph shown below is f(x) = 3x - 2. X If g(x) = f(t) dt, what is g'(-1)? 5- X O 5 3 0 1 4321 -5…

A: This is a problem related to integral. Based on the given data and graph we will answer the…

Q: dy ex sin² ey f • TAN e +c - 3

A: To determine whether the given statement is correct or not.

Q: a. Use the definition mtan f(a+h)-f(a) h h-0 b. Determine an equation of the tangent line at P.…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where m is the…

Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

Q: У S 1 X

A: The function is said to be increasing in an interval if its value increases as the value of x…

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: We can solve this as follows:

Q: G/ Integration Fuctions: Sco55 (3x) sin(³x) dx = - (08 (78) 18 A true B Error +C

A: To determine whether the given integral solution is correct or not.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

A: We will use ratio test to determine the absolute convergence of the given series .

Q: Question 1. Compute the dot product of the vectors u = (2,0, -3) and v = (1, 4, 2), and also find…

A:

Q: Find dy/dx using implicit differentiation a. tan y=x+y b. cos x=x(1+cot y)

A: For (a),     tany=x+yDifferentiating both sides we get,⇒sec2y y'=1+y'⇒dydx=1sec2y-1

Q: Fill in the following blanks: (Choose Six only) 1) An example of a nonlinear third-order…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3x² Find the equation of the curve that passes through the point (0, 2) and has a slope of y at any…

A: Given Slope of the curve     dydx=3x2yand curve passes through the point (0, 2)  ie.  y(0)=2

Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomia f(x) =…

A:

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A: The radioactive decay rate is proportional to to the amount of substance is present at time t.…

Q: integration function -1 ₁ 2²√x+¹(xy + 1)dydx 817718418 20 20 40 20 not of above - A - B - C - D

A:

Q: Find the domain and range of the function graphed below. 5+ 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 Domain:…

A: Consider the graph of the function

Q: Solve the following linear system by Gaussian elimination. X1 = X2 = i X3= Mi X1 + 4x2 + 3x3 = 12…

A: Given :x1+4x2+3x3=12-x1-5x2+4x3=-72x1-7x2+5x3=-7

Q: Evaluate the integral. 1 1 sin COS 20² 201 1 de = 0 20² ਕਿ 1 20² sin COS de

A:

Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

A:

Q: The number of domestic feral rabbits in Nose Hill park can be modelled by the logarithmic function…

A: We can solve this as follows:

Q: =) 2xydy + ( x² + y²) dy > 0

A:

Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

A:

Q: A) For the functions below Find fx. fy fy and fy (Answer the Mary). 1)f(x, y) = x²y + cosy + y sinx.…

A:

Q: Q1. 02. Evaluate the improper integral: 8 1 Se x(lnx)³ dx Evaluate the integral by integration b

A: As per bartleby guidelines we only give first question answers.

Q: f TAN Aydy - TANY 4 TANY +C

A:

Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

A:

Q: Solve the system by inverting the coefficient matrix and using the following theorem: If A is an…

A:

Q: For the functions below Find the function's domain and the function's range (Adtower Two only): y 1)…

A: 1.] Given f(x,y) = √(y-x) For domain √(≥0) So, (y-x)≥0 Or y≥x Domain = {(x,y): y ≥ x} The Output of…

Q: Solve the given initial-value problem. X- dx + y = 6x + 1, y(1) = 9 y(x) = Give the largest interval…

A:

Q: f(x) = { ² 1 - 0 < x < ² 1, -π X < 0 -1,

A: