Use the one-to-one property of logarithms to find an exact solution for If there is no solution, enter NA. In (5) + In (5x2 - 8) = ln (129). The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x - 1). x=

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: We have to find the velocity when t = 1 second.

Q: 2. If x = t + cost, y = sint, find d²y dx²*

A:

Q: 4²-25 442-204125

A: We are asked to simplify the following

Q: 1. Three vectors in space are given as = 3x + 2y + 42 K L = 2x − 3y + 2 - M = -x-4ŷ in cartesian…

A:

Q: Solve 3xy + y + x²y² = 0

A: To solve 3xy'+y+x2y4=0 we can write its as 3xy'+y=-x2y4 or y'y4+y3xy4=-x23x which becomes…

Q: What is the sum of the first 50 terms of the series 10 + 85 +160 + 32

A: Given :   series 10 + 85 +160 + 325   Common Differences

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

A:

Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

A:

Q: Determine the solution for the following Bernoulli’s differential equation.

A: Here we have to solve the differential equation.

Q: Solve the given initial value problems. y'' - 4y' + 4y = 0, y(1) = 1, y'(1) = 1

A: To find out the solution of the differential equation.

Q: onsider the following. f(x) = x³ - 3x² + 8 (a) Find f'(x) and f"(x). F"(x)

A: Solve for the derivative

Q: Cost, revenue, and profit are in dollars and is the number of units. Suppose that the total revenue…

A: According to bartleby guidelines I can only answer the first three question of the given problem.

Q: If f'(x) = e^x - 5x and f(1) = -12, then what does f(x) equal?

A:

Q: dy Given 3x4 + 2xy = 4y2 - 12, use implicit differentiation to find dx dy dx =

A:

Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

A:

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A:

Q: Use PMT= P == -nt to determine the regular payment amount, rounded to the nearest dollar. The price…

A:

Q: A bus company is planning a trip for at least 107 people. If 107 people sign up, the company will…

A: using double derivative test to find maximum revenue

Q: Find the partial fraction decomposition for the following rational expression. 2y³ + 19y2 + 48y +63…

A:

Q: Find f=V 3 √x + y 6 02 f дудх

A: The given function is: fx,y=x3+y6   As we know that; The Chain rule: fgx'=f'gx·g'x The Power law:…

Q: Find z¸and zyif z = x² tan¯¹ (²) — y² tan¯ an-¹) y

A: We need to find zx and zy.

Q: Find the inverse of the matrix A, if it exists Show A=-407 030

A:

Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: 2) lim x→4 4x-x² 2-√√x

A:

Q: Solvex -3x 256x-2x Express your answer in interval notation:

A:

Q: 1. The lim x² - 1 1 x 1 x 16 x = 1. GUI = 2. Justify why is this so even though the function is not…

A: Given limit is limx→1x2-1x-1=2 We need to justify why the limit exist.

Q: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

A:

Q: 5 Sº dx 400 + x²

A: Topic:- application of integration

Q: A store rents movies. If the rental fee is $2 each, the store knows they can rent 64 movies per…

A:

Q: MATH 12 Worksheet 2: Fundamental Theorem of Calculus 1. Definite Integrals and the Fundamental…

A:

Q: f'(x) = || √4 + X 1 2√4+x (4+x) State the domain of the function. (Enter your answer using interval…

A: Given query is to find the domain of the function and is derivative.

Q: Consider f(x)=5x-3-41/x^2 Which of the following does the x-intercept of the tangent line at x=2…

A:

Q: EXAMPLE 5 Find an equation of the tangent line to the parabola y=x²- 8x +9 at the point (2, -3).…

A:

Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

A:

Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

A:

Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

A:

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) 9 0 dx 9 − x please…

A: Given, ∫09(9-x)dx

Q: integral

A:

Q: QUESTION 7 Find the horizontal asymptote, if any, of the graph of the rational function. h(x)= 10x3…

A:

Q: EXAMPLE 5 Where is the function f(x) = |x-1| differentiable?

A: Given, Where the function f(x) = |x - 1| is differentiable.

Q: Find equations of the lines that pass through the given point and are parallel to and perpendicular…

A: The given equation and point is; 3x+4y=7, (-2/3, 7/8).

Q: What is the solution to the differential equation:  dy/dx = y/(x2 + 1)  when y > 0?  A. y = eC +…

A:

Q: A cup of coffee is removed from a microwave. Its initial temperature is 199 degrees. After exactly…

A: In the given question: A cup of coffee is removed from the microwave, θ1=199∘C After 11 minutes…

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

A:

Q: [x²-2 if x≤2] -3x+1 if x>2 Graph the function, f(x)=- x y

A:

Q: 2. Match the figures below with the equations: (a) z = sin(x) sin(y) (b) x²-y+2²=0 (c) z = √6x² +…

A:

Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: Graph the following function. 1 X-1 y=- Choose the correct graph below. OA. 10. 19 GAME OB. 12 42…

A: Topic = functions Correct option = B