Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: We will use substitution for integration.

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

A: The given function fx=3 sinx+cotx, when -π≤x≤π.

Q: Find the unit vector of n = (4,-3) .

A:

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: Find dy/dx by implicit differentiation. tan(x – y) 7 + x2 y' =

A:

Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: Write an expression, of the type A log(x • B), for the transformed logarithmic function shown below:…

A: Given query is to find the function for indicated graph

Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x>0

Q: jod2:" +x -a)dr = 24. 3. If find the value of a constant.

A:

Q: A bacteria grows using the given model: dB/dt = 0.2B(1 - (B/100)) ; B(0) = 5 Find B(t). Find the…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

A:

Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d.According to graph of d. at x=0limx→0-dx=limx→0+dx=limx→0dx=finite.So, function is continuous. at…

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters.…

A: Given problem:- The age T, in years, of a haddock can be thought of as a function of its length L,…

Q: Current Attempt in Progress A compact disk spins at a rate of 200 to 4000 revolutions per minute.…

A:

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: The Volume of a Parallelepiped Formula  =|(a×b)⋅c|

Q: Consider the helical segment of the following figure defined by the parametric equations x =…

A: We have to find value of line integral.

Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A: Given function f(x)=x    if  x<18    if  x=12-x2  if  1<x≤2x-1   if   x>2

Q: 5. y = sin* x + cos* x

A: y= sin4x + cos4xdifferentiating w.r.t. x;dydx=ddx(sin4x) +ddx(cos4x)     =4 sin4-1x ddx(sinx)…

Q: Use scratch paper to complete the table below, and estimate the value of the lim,0* f(x) where f(x)…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Find an equation of y =

A: Given query is to find the equation of the tangent.

Q: 16. Which of the following statements is true? A. The slope of a line can be applied for curves or…

A:

Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

A:

Q: A brewery produces regular beer and a lower-carbohydrate "light" beer. Steady customers of the…

A:

Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

A:

Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

A:

Q: f(1) — 2* — — 60 13г2 + 52г

A:

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

A:

Q: Integrate the following using Partial Fractions. 1. S a dz r2-3x-4

A: Solving the problem by finding the integration.

Q: А 33 200' 630 a Vertices A and B of AABC are on one bank of a river and vertex C is on the opposite…

A:

Q: Is this correct? Kindly check please

A:

Q: 5* = e*+4 %3D Round your answer to two decimal places. i

A:

Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

A:

Q: Evaluate the given integral using Algebraic Substitution.

A:

Q: Use the Ratio Test to determine the radius of convergence of x" Σ Vn - 9" n=1 Then determine whether…

A:

Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

A:

Q: the following functions. Simplify, if possible. 1. g(x) = 2x3 + 6x – 2 2. h(x) = (3x + 2)² x2 3.…

A:

Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

A:

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

A:

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

A:

Q: Evaluate: Jx?cos(2x)dx

A:

Q: d100 y (100th derivatives) dx100 b.y = x100 ; find

A:

Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) V1-x² antiderivative of F(x) = is

A:

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

A:

Q: clurs thal salisly 1. The unit vector in the same direction as (-3, –5) is

A: According to company rules.. I need to solve first question when multiple questions are posted

Q: y(x) =x' (2x – r²)

A: solution

Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

A: