10. Find dy/dx for y Inx

Q: Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = cos(t) + sin(t)…

A: Given:- st=cost+sint

Q: el-3x = 4

A:

Q: A particular solution of x²y" - x(x + 2)y' + (x + 2)y=2x³, x>0, V₁(x)=x, V₂(x)= xex 2x²+x a. b.…

A:

Q: Given ♬ = (4yz, 4xz + 2, 4xy + 2z), find a function f so that F = Vf f(x,y,z) = + K Use your answer…

A:

Q: Find f'(x) if f(x) = = (2 sin³ x + 7) (lnx + 1) 5r3+4

A: Solution to find the derivative for the given function is as follow .

Q: ( X ² ² + y ) d X-XdY = o

A:

Q: Consider the function f(t) = 5 sec²(t) — 9t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Given f( t ) = 5sec2t - 9t3F( 0 ) = 0

Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

A:

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A:

Q: What does it mean for f to be concave down on an interval (a,b)? Select all answers that apply.

A: Solution: Given data, f is concave down on an interval (a,b)

Q: Let f(x) = √√5x + 2. Find f'(x) by the limit definition of the derivative.

A:

Q: sinh 3r 2. Given F(x) = f 2 √3+ t dt. Find F'(0)

A:

Q: -) If F(x, y) = 2xyi + (x² − y)j, (a) Find a potential function for F, i.e. a function f such that F…

A: given function is :- F(x,y) = (2xy)i+x2-yj finding potential function f such that  ∇f= F⇒fx  ,fy =…

Q: Which of the following is true? Select one: The series En=1 diverges by the Test for Divergence. O…

A:

Q: (a) Solve the utility maximization problem max U(x, y)=√x+y subject to x- 4y= 100 using the Lagrange…

A: We have to find the quantities demanded of the two goods.      According to our guidelines we can…

Q: Show that 2x² + 3x - 5 11x7 ƒ (x) = { is continuous and differentiable at x = 11. x 11

A: Concept If f( x ) is continuous at x = a then limx→a-f( x ) =limx→af( x ) = limx→a+f( x )

Q: What comparison series would you use with the Comparison Test to determine whether Choose the…

A: Series

Q: Estimate the area under the graph of f(x) rectangles and right endpoints. Rn = = Repeat the…

A: Area under the curve is given by= ∫161x+4dx we have given n=10

Q: 9. Determine the domain and range of y = log(2x² - 50) and explain how you know this.

A:

Q: Use Cramer's rule to solve the system. 3x - y - 5z = - 32 5x - 4y - 3z - 15 2x - Y = - 3 Write the…

A:

Q: Find the equation of the tangent line to (1,2) through the point . x + y + 3xy = 15 that goes Put…

A: Given x3 + y3 + 3xy = 15

Q: Given f(x) = 2x+4 and g(x)= 3x² - 2x, find f(g(x)).

A:

Q: A company's marginal cost function is c(x)=- where x is the number of units. 14 √x Find the total…

A: The marginal cost function is given by c(x)=14x The function can be rewritten as c(x)=14x-12   Now,…

Q: Evaluate the following three limits: i. lim x→1 ii. lim x-0 3@ iii. lim 2-e3a x-0 I

A: Given problems:- (i) limx→1ex-1-x3x2 (ii) limx→0e-3x-e-4x-xx2 (iii) limx→02x-e3xx

Q: Question 9  Given cost and price (demand) functions C(q) = 120q+ 41,500 and p(q) = - 1.9q+ 880,…

A:

Q: Find parametric equations for the rectangular equation. 33) y = 4x - 5

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 3 sin(t). The initial…

A:

Q: 5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed…

A:

Q: Suppose that 0=arcsin(3/6) in the first quadrant. What is cos(0/2)? (round to 4 decimals) Your…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Find length of the cardioid r = 2(1 + cos 0)

A: Length of the cardioid, L=2∫0π r2+drdθ2dθ

Q: Evaluate the derivative of the following function. f(x) = (2x)³x f'(x) = (Simplify your answer.)

A:

Q: The supply and demand curves for a product are Supply: y = 500x400 Demand: y = 100x + 8000, where x…

A:

Q: 2x²-3x+7? What do you think is the lim→∞ ²+47x+1 O The limit does not exist. O The limit is equal to…

A:

Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3)

A: Given:  if an = 5n3 - 14n2 + 7n - 3,

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A:

Q: Find the area between the curve y = x3 - 6x2 + 8x and the x-axis. Answer: 8 sq. units

A: Given y = x3 - 6x2 + 8x

Q: A rectangle with side lengths maximum possible value for of x and y has an area of 125 units². What…

A: Given that the sides of the rectangle are x and y and its area is 125 square units

Q: Click the best answer 7 3 2 30 y=(1-x)³(π+ x) 25 20 15 10 0 0 A 2 3 4 10 6

A: We have given graph of the function  y=1-x3π+x 1-x3π+x=0 1-x3=0 or π+x=0 x=1,1,1 or x=-π x =…

Q: Use integration by parts to integrate the following function. (16x + 16x + 5) In(5x) dx

A:

Q: Evaluate 2 √² f(x) da, where f(x) = " 5x⁹, 5r, 4x², 0<a<1 x 1≤ x ≤ 2.

A:

Q: Solve this differential equation: dy dt y(0) = 2 y(t) = = 0.14y (1 – Y 900

A:

Q: You invest $1400. If the account grows continuously by 3.2% per year, how much money will be in the…

A:

Q: f(x) = x4 - 8x³ +8 Answer the following by showing supporting work for each answer. Do not simply…

A: use the derivative property for finding the answer.

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

A:

Q: Given that the graph of f(x) passes through the point (4, 7) and that the slope of its tangent line…

A: use derivative  as slope and use the integral for finding the value of function .

Q: Write the given (total) area as an integral integral or sum of integrals. The area above the x-axis…

A: The area between the curves y=16-x2 and y=0  (x-axis)

Q: Write the solution of the linear system corresponding to the reduced augmented matrix. 10 -3 2 01 1…

A:

Q: f(x)= f"(x) = x³ x²-4 8x(x² +12) (x²-4)³ with f'(x) = x²(x² - 12) (x² - 4)² and (a) Find the…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Consider the function f(x) = 3x² - 2x. Use it to find f(3), f(-2), and f(a+5). f(3) = 75 O f(-2)= -…

A:

Q: 3. Use substitution/general power rule to find the indefinite integral and check your answer by…

A: Given integral ∫4x( x2 + 5 )6dx