dy Find Use logarithmic differentiation whenever appropriate. dx (1+x – x²)³ - sec 4x (x – log x)6

Q: Let R be the region bounded by the functions f(x) = -2x² + 6 and g(x) = -7 as shown in the diagram b...

A:

Q: The power series > (2 – x)' converges absolutely on the interval r=1 (1, 3) [1, 3] (-2, 2)

A:

Q: 2. Determination of integrating factors: 2y(x - y+ xdx+(x² - 2ydy 0

A:

Q: A point starts at the location (4.5,0) and travels CCW along a circular path centered at the locatio...

A: Solution: According to question, the diagram should be like this

Q: (sin-l x)² dx V1-x²

A:

Q: 2y(x² – y + x}dx+ (x° – 2ykdy= 0 2. Determination of integrating factors:

A: In this question we have to do Determination of Integrating Factor.

Q: If 21 f(x)dx 9 - 55 and 21 g(x)dx = 30 – 55 and – 21 | h(x)dx = 35 55 what does the following integr...

A:

Q: 1 L [s² +2s+5)

A: Let's find. 

Q: a) x- intercepts b) y-intercepts ) maximums d) minimums e) inflection points

A:

Q: Determination of integrating factors: 2y(x² – y + xdx+ (x² – 2y}dy = 0

A:

Q: Please give me the full solution and answer, thank you

A:

Q: Find dy/dx by implicit differentiation. 2vx + vy = 5

A:

Q: If g' (x) = f(x) with g(-8) = a, g(0) = b, g(1) = c, and g(3) = d. , express the value of f x + 3 ) ...

A:

Q: 2 sin x V1 + cos x dx

A:

Q: Current Attempt in Progress An oil slick on a lake is surrounded by a floating circular containment ...

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Given that L is a line in 2-space or 3-space that passes through the points A and B then the distanc...

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0,0) and R(3,5, 1). NOTE: Enter the exac...

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A:

Q: a) x-intercepts

A:

Q: b. g(b) Use the Substitution Formula, f(g(x) • g'(x) dx = | f(u) du where g(x) = u, to evaluate the ...

A:

Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 296i + 111j 73 ...

A:

Q: Integrating factors found by inspection: (xy³ +xy dx+(x²y² – 2 dy = 0 0 =

A:

Q: cos x(2 + sin x)$ dx

A:

Q: In(x) dx; u = In(x), dv = x³ dx

A: Use integration by parts method.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

A:

Q: Find the derivative of the function. y = (tan-(4x))2 y' =

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Solution: we know that u→=ucosθ i +usinθ j

Q: Provide an appropriate response. Find the area bounded by the parabolas y = 6x - x* and y = x² - 2x....

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, -2, ...

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A:

Q: (d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" si...

A:

Q: 3 4+2x

A: Given,             32=x4+2xTo find : What is the missing term in the proportion?

Q: 1) Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top...

A:

Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according ...

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radi...

A: We have to find angle between given vectors.

Q: lim cosCx)

A: Given: limx→πcosx   Let, fx=cosx So, At x=3.1 f3.1=cos3.1=-0.999135 At x=3.14 f3.14=cos3.14=-0.99999...

Q: The graph of the polynomial function K(x) is shown below. a) Write a possible equation for K(x) in f...

A: Given: The graph of the polynomial K(x) is shown as:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A:

Q: Given the piecewise function defined below, determine the value of | f (x)dx in simplest form. (32? ...

A:

Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

Q: 1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

A:

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln...

A: the given function f(x)=ln x on the interval [1, 6]

Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions

Q: S 2xln(1+ x)dx

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v= (0, 24) a = %3D

A:

Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She esti...

A: Given query is to find the number of tree per acre to maximize the harvest.

Q: Set up a definite integral that represents the shaded area. y foo A fxdx

A:

Q: cos s 40 d0

A: Let's find.