3 1 2z2 ln(2³) dz. You must show (8) Let P(x) = P(2) = 2/ L (a) Find P'(x).

Q: (a) [ƒ(x) + 9(x)]| d dx d (b) f(g(x))] dx d dx (c) · |[(x)6 · (x)ƒ]² x=1 d [g(x) (0) dx f(x) x=1…

A:

Q: Use the formula к(t): k(t) = = ||r' (t) ||³ r(t) = esti + e-tj to find k(t).

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: 3. Rewrite the polar equation in rectangular, rewrite it either as a conic section or in the form y…

A:

Q: 3. Determine the absolute and local extreme of each function on the given interval. a)…

A:

Q: At a seaport, the depth of the water during the day can be found using the equation (-8) = 6.0 COS…

A:

Q: 5(a) Is 1+tant=sint(csct+sect)TRUE for all values of t? If YES, prove the identity. Otherwise,…

A:

Q: Suppose that f(x, y) = e/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Then the double…

A:

Q: 1 x = -√y(y - 3), 3 y(y - 3), 1 ≤ y ≤ 16

A:

Q: Ema thinks that (u) xw, exists. Paul disagrees with her. Who is right? Explain why.

A: Dot product gives a scalar value  .

Q: A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that…

A:

Q: Find the derivative of y with respect to x. In 81 dy dx y = 1098 | (( || x +4 x-4

A: y=log8[((x+4)/(x-4))ln8]Find the derivative of the given function.

Q: The daily sales S (in thousands of dollars) that are attributed to an advertising campaign are given…

A:

Q: When does the net area of a region equal the area of a region? When does the net area of a region…

A: Let us know what are net and total areas.Net area  Total area above x-axis  Total area below x-axis

Q: Sketch the graph of the function. -2 O -2 f(x) = x - 1 in(x) -1 if x ≤ 0 if 0 1 y 1 2 -2 -1 y 2 1 y…

A: graph of function is given and from graph we can find the answer of given question.

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A:

Q: When placed tail-to-tail two vectors make an angle of 100°. The magnitude of the first vector, is 7…

A:

Q: Which of the following transformation statements is not true about the transformation from y = cos y…

A:

Q: If f has a continuous second derivative on [a, b], then the error E in approximating f(x) dx by the…

A: The derivative of  with respect to  is .

Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

A:

Q: Find the interest rater needed for an investment of $4,000 to grow to $20,000 in 6 years if interest…

A:

Q: Calculate the first eight terms of the sequence of partial sums correct to four decimal places. S 1…

A:

Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: The given equation is,Compare this equation with the standard form of the ellipse. So here we have,…

Q: provide in a clear format please

A:

Q: Use half angle or power reduction formulas to fill in the blanks in the identity below: (sin(4x))4 =…

A:

Q: My question revolves around L' Hopitals Rule. I have to functions s(x) = 4e^x +9 and t(x) = 9lnx +…

A: L' Hospital rule

Q: How many critical points does the function f(z) - 6sin² (52) have on the interval (0,)? Provide the…

A:

Q: Solve 8 sin (26)-14 sin() = 0 for all solutions 0 < < 2π 6 = Give your answers accurate to at least…

A:

Q: 5. If F = [5, - 5] ands = [-5, 5], find work done by the force over displacement s O a) 50 b) O c)…

A:

Q: Find all the antiderivatives for the following function. Check your work by taking the derivative.…

A: We need to find an antiderivative of a given function.Antiderivative is nothing but integration of a…

Q: 72 Write the equation of the line tangent to f(x) = 42x + X y= Write the linearization of fat x=2.…

A:

Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: A force with magnitude of 12 000 N is acting at an angle of 30° to the horizontal. What is the…

A:

Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

A:

Q: A rectangular tank with a square base, an open top, and a volume of 2,916 ft³ is to be constructed…

A: We need to find dimension of the box with minimum surface area.To find minimum surface area we need…

Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

A:

Q: (c) Determine the inflection point (s) of f(r)=-6² +9r. (d) Determine the global maximum and global…

A:

Q: 5-Sketch a graph of a function f that is differentiable and that satisfies the following conditions:…

A:

Q: Let y = = 5 + 4 ՂԱ - and ux³ - 2x. =

A:

Q: Find the minimum and maximum values of the function f(x, y, z) = 3x +2y + 4z subject to the…

A: Given functionsubject to the constraintNow we have the derivative values

Q: (a) In(28) - In(56) is equal to In(4) - In(8). OTrue OFalse (b) In(a + b) = In(a)In(b) for all a,b >…

A:

Q: 4. (a) (b) Find the critical point (s) of f(x)=³-67² +9r. Classify each critical point from (a) as a…

A:

Q: Kelly and Stuart bought potato chips for a party at the same store. Kelly spent $14.15 for 3 large…

A:

Q: Find the length of the polar curve r(8)= -2 cos 0 where 0 runs from a to 3A 2

A: NOTE: Refresh your page if you can't see any equations..The given curve is,Take derivative.The given…

Q: Consider the surface z - 10 = ze cos z. Find an equation of the tangent plane to this surface at…

A: The surface is The equation of the tangent plane to the surface  at the point  is

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: Find the volume of the largest rectangular box in the first octant with three faces in the…

Q: Write the equation of the line tangent to f(x) = 125 + 20e at the point x = 0. First compute the…

A:

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Using the given definition of Laplace transform, we can find Laplace transform of given function.

Q: Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its…

A:

Q: Use symmetry to evaluate the following integral. 2 S (5x³-4) dx -2

A: