Find dy dx dy dx if y = = x³ + 4x + 7 x² + 1

Q: Use the graph of f(x) to evaluate the following: 9 5 4 3 رنا 2 1 f(x) 2 5 Average rate of change of…

A: Graph of the function is given, we have to find average rate of change over the interval 1,4.

Q: lim h→0 (2+ h)³-8 h

A: lim     ((2+h)3 -8)/h h->0 here we use law hospita rule and get limit of this for that…

Q: 5. Evaluate the following: a. L{4t³+12t² - 5} b. L{3e³t+2 cos 4t} C. L-1S-3 L-1 (s² +9)

A:

Q: Solve the following differential equations. Question 5 ( cos2x - y cos x ) dx - ( 1 + sin x ) dy = 0…

A:

Q: (a) Use the Quotient Rule to differentiate the function f(x) =tan(x) - 1 sec(x) f'(x) = (b) Simplify…

A:

Q: 1 Find the explicit solution to the equation L dI + RI dt = 0

A:

Q: Integrate by part S 1 xe-2x dx

A: we can solve the given integral.

Q: 129. The months of June, July, August, and September are the wettest months in Miami, Florida,…

A: Formula :- Average = sum of all observationnumber of observation

Q: An algebraic expression is . parentheses have been removed and like terms have been combined. when

A: Algebraic Expression:- In mathematics, an expression that incorporates variables, constants, and…

Q: Multiple Choice Which of the following statements is truefor a point (x, y) that lies in quadrant…

A: If (x,y) is a point on a graph then if (x,y) lies-In quadrant I, then both x and y are positive.In…

Q: For Exercises 10–11, simplify the expression. 10. 15.2c?d – 11.1cd + 8.7c²d – 5.4cd 1 (6 – 4x) + 3 +…

A: Given data:- 10) 15.2 c2d-11.1 cd+8.7 c2d-5.4cd 11) 8-4x2-12(6-4x2)+3+13x2

Q: Consider the following function. h(t) t t - 4

A:

Q: For each of the following series, use the sequence of partial sums to determine whether the series…

A: For each of the following series, use the sequence of partial sums to determine whether the series…

Q: Find the endpoints of the minor axis for (x-h)² 6² an ellipse having the equation (y-k)² a² 1 +

A: The general equation when the vertical major axis of the ellipse passes through the y- axes and the…

Q: h²-2h+19 3h+125 Find: lim h→0 Give your answer as a decimal

A:

Q: If b + 0, then b

A: Given: If b ≠ 0, To find: then b0 = ?

Q: Find the producers' surplus at a price level of $13 for the price-supply equation P = S(x) = 4 +…

A: Given :- p=Sx=4+0.01x2

Q: A (B C Selected values of the derivative of the function g are given in the table above. It is known…

A: Here is the solution:

Q: Which of the following functions are continuous for all values in their domain? Justify your…

A: A function is continuous when there is no break in the graph of the given function while a function…

Q: 2. Solve ODE Use the method discussed under "Equations of the Form=G(ax+by)" to solve dy da =√2+7-1

A:

Q: 40) As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Determine whether the following functions are continuous at a. Use the continuity checklist to…

A: Given function: f(x)=2x2+3x+1x2+5x a=5

Q: (11 8t, 8t 11,2 - 6t) orrect answer. s are skew. s are parallel. s are the same line. if the lines…

A: We have to determine the line is parallel,skew or same according to the given parametric line

Q: Find dy / dx by implicit differentiation. xy + 3x + 4x² = 2 dy / dx = Need Help? Submit Answer Read…

A:

Q: Find the critical numbers of the function. +1/x-1/2x² f(x) = 6 + 1x 3

A: Given query is to find critical numbers.

Q: Use the Chain Rule to find where w = sin 12x cos 2y, x = x = ₁, and y = 15. 2¹ Əw ?x (Type an…

A:

Q: Analyze the following limits

A: Given data:- limx→ 5x-7xx-52

Q: Compute the derivative of f(x)=√x + 8 using the definition of derivative.

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Problem 6. Construct the quadratic whose roots are 3+, 3-.

A:

Q: As of January 2016, the population of the United States was approximately 322 million. Express the…

A: Given: The population of the United States was approximately = 322 million.

Q: -(-a) =

A: Given data:- The given expression is, --a=______?

Q: 4 34 feet long ladder ladder is leaning is leaning against a vertical wall at a rate of 8 feet per…

A:

Q: Use the Product Rule to find the derivative of the given function. Simplify your result. b. Find the…

A: Given data:- The given equation is, y=t2+7t3t-4

Q: Find the total area of the shaded region shown to the right given by the curve y = 2(sin x)√1 +…

A: area is =(82)/3

Q: Find the equation of the tangent line to y = 24 (sin(0) + cos(0)) at 0 = 품. (Use symbolic notation…

A:

Q: 1) Your client wants to buy a house in 10 years. They currently have $1,400 saved up and are going…

A: Topic- arthmetic progression, We are given Current saving of a client=$1400 Monthly saving=$225…

Q: Calculate the average rate of change for the function f(x) over the interval-1 ≤ x ≤ 2 = x² = 5+2

A:

Q: Use the limit definition to prove the quotient rule; i.e., find the derivative of f(x) u(x) v(x)…

A:

Q: [f F(x) = f(6f(3f(x))), where f(0) = 0 and f '(0) = 2, find F '(0). F'(0) = X

A:

Q: Which one of the following intervals is not symmetric about x = 5? a. 11, 92 b. 14, 62 c. 13, 82 d.…

A: Given function: x=5 Intervals:  a. 11, 92       (b). 14, 62     (c).  13, 82     (d).5,5.2

Q: Evaluate the limit of the function as x approaches zero from the left (0): lim, 0- 00 01 O None of…

A: To evaluate: limx→0- -sin(2x)1-cosx ⇒limx→0- -sin(2x)1-cosx = limx→0- -2sinxcosxsin2x1+cosx⇒limx→0-…

Q: How do you find derivatives and how to find the line tangent.

A:

Q: Find the derivative of the function. y = a8 + + cos8 x y'(x) =

A: To find the derivative of the given function.

Q: EMPTY or Ø.) increasing decreasing f(x) = () = ²3 x ³ x³ + 6x² 32x - 7 and the ter vai, cinter

A: Given query is to find the interval where function is increasing and decreasing.

Q: Use the graph of the function f(x) below to answer each question. Round all values to the nearest…

A:

Q: Find the reference angle for the given angles. If the angle is given in degrees, give the reference…

A: Given , θ= 0.3 radians First we have to convert it into degrees to check which quadrant it will…

Q: Simplify completely. Write your answer using positive exponents only: (46³2-³y 6) 2

A:

Q: x-5 x-5x²-3x-10 Round/Truncate your answer to three decimal place Determine the limit: lim

A:

Q: True or false: 4 x 10° is written in scientific notation.

A: Scientific notation:- Scientific notation is a way of writing very large or very small numbers.  A…

Q: 4. Simplify without absolute value bars. a. w – 4| for w < 4 b. w – 4| for w 2 4

A: The absolute value can be written as: x=x           , x≥0-x        , x&lt;0 Part a Now, we have…