Use the trapezoidal rule withn = 5 to approximate %3D 5 cos(x) dx Keep at least 2 decimal places accuracy in your final answer

Q: For f(x, y) = 2x3 + x²y? – 5ya + 10, Find fgi Find fax: Find fxy

A:

Q: — 4т + 10у — 6 2 — 5у — 3

A:

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by...

A: Given problem:- Acceleration of a Car The distance s (in feet) covered by a car t seconds after star...

Q: y sec t+sec t tan t + (2y+tan t) dt dy xy - (x+2y)2 dx 3y(x' -1)+(x' +8y- 3x) dy -0: y(0)=1 dx

A: Topic:-  differential equations  Note:- as per our guideline if more than one question uploaded than...

Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: Question 1 Some values of a differentiable, invertible function fand its derivative are given below....

A:

Q: By direct differentiation, find f(x] where f(x)= lalact!)

A:

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: So 4х cos (2x) dx e x COS

A:

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given problem:- If a cup of coffee has temperature 100 degrees  °C in a room where the ambient air t...

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: Find the inverse of the function f (x) = x-1 2x+3

A:

Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

Q: 1 dx (use trigonometric substitution) 3.

A: Integration

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

A:

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

A:

Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

A:

Q: Region R in xy-plane is bounded by the curve y = 9sin(x) and the x-axis, between the lines x = 0 and...

A:

Q: 6 If a particle's position is given by r (t) =<t,22 COst, sint7 find the velocit acceleration and sp...

A:

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: Solve the problem by writing and solving a suitable system of equations. A chemistry department want...

A:

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: ifx 1

A:

Q: created a mathematical question on inequality( quadratic) and answer the question

A: Inequality is an  expressions that compares the algebraic terms. 

Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.  

Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: Of inter SECtion 'of thie plánes 2x+y-32=14 delete 2. Find the canation of Hhe plane Containing the ...

A:

Q: Let z= f(x,y) = ln(x^2 +y^3), x=se^t sin(s), y= se^tcos(t). find \partial z / \partial s and find \...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A:

Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...

A: We can find the final population as below.

Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

A:

Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

A:

Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

A:

Q: Determine the global extreme values of the function f(r, y) = 4x³ + 4x²y + 2y², x,y > 0, x + y < 1

A:

Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had reache...

A:

Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

A:

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) &amp; r=k(t) So, 

Q: Use integration by parts to evaluate the definite integral. 8t? In(t)dt Give an exact answer

A:     ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: Find the derivative of the function. y = x*V25 - x²

A:

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 4, f"(0) = 4, f"(0)...

A:

Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

A:

Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: