Use the common logarithm to solve the equation: 37* = 4.5. Give the exact solution. ○A) x = 20 21 OB) log( log( 43 ) OC) log() x= log() OD) x = 4 log(5) - 3 log(7) x =

Q: Question 1 (a) (b) Find the residue of f(z) Find the residue of f (z): = = sin z at z = π. 2²-3z…

A:

Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

A:

Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t L= i j+126t2 k, 3≤t≤6

A:

Q: ³ _ x + 2y x-2y find first derivative X = to

A:

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A)

A: answer is in next step

Q: 2 luate / sin³ (3) cos¹ (3) dr. COS 1. Evaluate

A:

Q: x = 10t, y = t², (0 ≤ t ≤ 1). In each part, evaluate the line integral along C. NOTE: Enter the…

A: To find the values of given line integrals.

Q: f(x) = 2x + 3 x 1 1 ; a = 1

A: limx→1+f(x)=limx→1+x2+2                =12+2=3limx→1+f(x)=3

Q: (D² - 3D + 2)y = 2e-* +8

A:

Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

A:

Q: 1 - √xdx

A:

Q: [₂ 1 = fx dx I = I = x² dx

A:

Q: QUESTION 2 A factory has three assembly lines, with the first line producing 10% of the product, the…

A:

Q: nd the area between y = 8 sin x and y = = = 10 cos x over the interval

A: Topic:- application of integration

Q: 2 1 -2 -4 X -1- -2- Write the factored form of the equation of the most appropriate polynomial. f(x)…

A: Since it is touching at x=-1 It means that there are two roots at x=-1 And one root at x=0

Q: The population of a country is modeled by the function P(t) = 15.9e0.01462 where P(t) is the…

A:

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A:

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

A:

Q: alyze and sketch a graph of the function. Label any intercepts, relative extrema, y = x² - 8x + 37…

A:

Q: Find the residue of f(z) = Find the residue of f(x) = sin z at z = π. 2²-3z 2²+4 at z = 2i.

A:

Q: Question 16 Given the function (6x + 9 f(x)= ₹

A: We have to find the value of function at given values.

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

A:

Q: Finding an Indefinite Integral In Exercises 75-78, find the indefinite integral. 1 75. dx 7x-2

A: Here is the solution:

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series : A Taylor series is the expansion of a function's series around a point. A…

Q: trignometric

A: We will find the solution.

Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

A:

Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

A:

Q: 2 QX = X² x + 2

A:

Q: HOW ALL WORK pand the logarithmic expression using the properties of logarithms: In xy

A: Topic :- algebra

Q: 4. A unit vector orthogonal to A and whose representations are parallel to the yz-plane.

A:

Q: Find all solutions to the equation. 4 cos 0 = -sin²0+4 Write your answer in radians in terms of ,…

A: cos2 θ +sin2 θ =1 Cosine function takes value in between -1 and 1.

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

A: Given

Q: Find the horizontal and vertical asymptotes of the curve. 6x²+x- - 9 у x² + x - 56 X = (smaller…

A:

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r²h. (a) Find a…

A: The derivative of f at x=a is            f'(a) = limh→0 f(a+h)-f(a)hthe instantanrous rate of change…

Q: Evaluating a Definite Integral In Exercises 37-42, use the Fundamental Theorem of Calculus to…

A:

Q: Verify Green's Theorem by evaluating both integrals ƏN [< y² dx + x² dy = √₂₁ / (™N - 3W) CIA dA əx…

A:

Q: Evaluate the line integralſ (x + 2y) dx + x² dy, where C consists of line segments from (0,0) to (2,…

A:

Q: 32-37 FOURIER INTEGRALS AND TRANSFORMS Sketch the given function and represent it as indicated. If…

A:

Q: Calculate the length of the path over the given interval. (sin 7t, cos 7t), 0≤t≤n

A:

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Given problem:- Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to…

Q: Solve: (1+x2)dy+ydx=0; y(1)=1, implicit solution Also: a) Determine the value of y if x=e (euler…

A:

Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

A:

Q: Determine whether the following Consistent or not a) 5x +2y = 1 3x +2y = 1 b) X₁ + X₂-2X3 + X4 = 9…

A: Here, to check whether the given system is consistent or not.

Q: Determine whether the series is convergent or divergent. If the series is convergent determine the…

A: Given problem:-

Q: the vector-valued function.

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: 2. Find the area between the curve y=-x and y+x²= 2x.

A:

Q: d² y +3-10y=3x² dx² dx

A: Given; d2ydx2+3dydx-10y=3x2 So, we can also write as; D2+3D-10y=3x2 So, the auxiliary equation is:…

Q: Solve the following equations: a) y√(1-x²)dy + x√√(1- y²)dx=0 dy x(2 ln x+2) b) = dx sin y+y cos y…

A: