Find the value by writing the argument using the number 5 and using the value log 5 = 0.6930. log 25 log₂25 = (Simplify your answer.)

Q: Write each expression in the form 2 or 3x for a suitable constant k. (a) (2-x.2-5x) 6/11 (b)…

A:

Q: Find the distance between the points whose coordinates are given. (-6, 8), (-11, 14)

A:

Q: Find the length of the following two-dimensional curve. r(t) = (201² - 2,48t² + 3), for 0 ≤t≤ 1

A:

Q: For the demand function q = D(p)=√√450- p, find the following. a) The elasticity b) The elasticity…

A:

Q: 4. A suspension bridge with weight uniformly distributed along its length has twin towers that…

A:

Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

Q: Application of De A tank contains 1,200 liters of fresh water. Brine containing 0.2 kg/liter of salt…

A:

Q: The following limit lim Select one: O None of them 8x³y³ (z,y) →(1,2) 2x - y O equals 12. O equals…

A:

Q: A spherical tank with a radius of 3 meters is half-full sitting on the ground. Set up an integral…

A:

Q: 4x(4-x2)1/2  Find the antiderivative

A:

Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

A: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.1% per year. That…

Q: A = 24 13]. B , B = 0 3-2 4 5

A:

Q: Determine for what values of k the system  3x + 2y = 1; 6x + 4y = k has: a unique solution no…

A:

Q: Consider the following equation. cos (y) = 27 Use implicit differentiation to determine an…

A: Given equation, We know,

Q: (b) logą (3x - 5) = 4

A: The given equation .The aim is to solve the equation.

Q: 2. On what intervals is the function increasing and decreasing? On what intervals is the function…

A:

Q: 2. (a) Find the slope of the tangent line to the curve f(x) = 2x³ - 3x at x = -1 using a definition…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: The equation represents Select one: O a sphere with center(0, -5, 3) and radius 16. O None of them O…

A: To determine the type of the surface represented by the following equation.Note: Since the student…

Q: Compute the following values for the given function. f(x, y) = 3xye(x² + y²) f(0, 0) = f(0, 1) =…

A:

Q: 3. A student is completing a homework problem practicing the method of integration by parts.…

A:

Q: 6. S x² 1+x² dx

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: If f(x)= = 3x5 – 5x4 – 3x³ x4 " find f'(x).

A: The given function

Q: (a) Find dr and where z is defined implicitly by the equation 5yz + 2x ln(y) = 2².

A: To find  is defined implicitly by the equation .Note: Since the student has posted multiple…

Q: Use the Chain Rule to find dz dt 1 where z = 3x siny, x = t², and y = 2t4.

A:

Q: The velocity of a particle moving along a line is a function of time given by 79 v(t) = t² + 12t +…

A: The velocity of a particle moving along a line is a function of time is given by,   Find the…

Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

A:

Q: 4. Write equation of line in point-slope form containing point (4,-1) and perpendicular to y-y₁ =…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting…

A:

Q: 1. Evaluate each 2-variable function f : D → R below at the given points. For a point described with…

A:

Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A:

Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: which they occur. f(x) = 4x+7; [-5,5] The absolute maximum value is at x = (Use a comma to separate…

A:

Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

A: According to bartleby guidelines we are supposed to do only one question.  If you want more to be…

Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: The objective of the question is to evaluate the arc length of the given function over the asked…

Q: lim 2² = ?? 270 25 DONT USE L'HÔPITAL USE MATHMATICAL PROOF MATH ANALYSIS

A: To find

Q: 4. Find the exact length of the curve. x=e' -t, y=4e¹¹2, 0≤t≤2

A:

Q: Find equations of the tangent plane and normal line to the surface z-4 = ze cos z at the point (-4,…

A:

Q: Find d²y/dx² implicitly in terms of x and y. x²y - 4x = 6 d²y dx² || (4xy-12) +³ 3 X

A: we need to find out the double derivative of the given expression.

Q: 4. A weather balloon rising from the ground at 120 ft/min is tracked by a range finder located 350…

A: A weather balloon rising from the ground at 120 ft/min is tracked by a range finder located 350 feet…

Q: Find the points on the curve where the tangent pairs.) x=9-t², y = t³ - 12t (x, y) = horizontal…

A: Given, x =9-t2y = t3-12t

Q: -9x² - 17 - 18x4 (a) standard form (b) degree standard form, degree, coefficients, leading…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Find the area of the following region. The region common to the circles r = -8 sin 0 and r=4 The…

A: The region common to circles and

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

A:

Q: Simplify the rational expression. y³ - 27 -y² + 9y - 18

A:

Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: purchases a new car for $21,550. He makes a $6000 down payment and finances the remainder thro tized…

A: We have to find the monthly payment, amount and interest.

Q: s domain. : e answers with a comma, such as x = 1, x = -1 or type 'None' if there are no critical…

A:

Q: If the velocity function v(t) of an object is at its maximum, then the value of a(t), its A/…

A: We will find the value of acceleration.