proximation at z = 0 to sin(4r) is A + Bx where A is:

Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

A:

Q: 11 Find the area of the region bounded by y = x² + 2x – 1, y = + x x = -3, x = 1. 2

A: Area between curves

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: dy Find using implicit differentiation, for the equation a + y=8 is da O O

A: Differentiate both sides with respect to x.

Q: Find the acceleration of the potato at 0.5 s ft/s?

A: s(t)=-81t2+225t+3acceleration a(t)=s''(t)consider s(t)=-81t2+225t+3Differentiate with respect to ts'...

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Determine all critical points for the function. y = 4x² - 128 x

A:

Q: Tim Hortons estimates it will have a continuous income flow of  f (t)  =  4311 dollars per year from...

A: Given income flow f(t)=4411 dollar.

Q: 8. x- 3x + 2 = -8 9. 7z -3 = 3 +6z 10.-8 -n = n- 4n 11.4n – 40 = 7(-2n + 2)

A:

Q: Q2 a. Solve the nonhomogeneous differential equation: y" -5y" -6y' = 3e2*

A: The given differential equation is : y"'-5y''-6y'=3e2x. Repost the next part. 

Q: 5x + 400 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A:

Q: Evaluate the integral. 16 In(y) dy Vy

A:

Q: The solution of the given equation (1+x²) y' + 2xy = 4x² is: O y=[(4x^3)/(3(1+x^2))]+C(1+x^2) O y=[(...

A:

Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

A:

Q: An unknown radioactive element decays into non-radioactive substances. In 920 days the radioactivity...

A:

Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

A: Given,           v=2i-j+3k , b=6i+6j+7kTo find : i The vector component of v along b.               ...

Q: find the approyimate Valueof 10/2

A:

Q: Find the arclength of y = 2x/2 3/2 on 1 < x < 3

A: We know that the arclength of a curve y=f(x) on a≤x≤b is given by L = ∫ab1+f'(x)2 dx

Q: Evaluate: " sin7 cos4 dx

A:

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

A:

Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

A:

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

A:

Q: Consider the points A(1, –3, 4), B(2, –5, 2), C'(-1, –4, 2), and D(2,3, –5). (a) Find the volume of ...

A: Explained below

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: The coefficient of sin ( 2x) in the antiderivative of

A:

Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per hour a...

A:

Q: Florist Mehdi’s flower sales can be modelled by the function  f (t)  =  (7t + 8)e0.58t, where t is m...

A: We need to find average sales in % weeks.

Q: 1. Use the 8 step algorithm for curve sketching to analyze the key features of the following functio...

A:

Q: By completing the square, dx the integral f equals: 2x2+8x+10 tan¬1(x + 2) + C tan-1(x – 2) + C | th...

A:

Q: A potato is launched vertically upward with an initial velocity of 139 ft/s from a potato gun at the...

A:

Q: Use implicit differentiation to find dy/dx: 620+y + eª arcsin y = In(y³) +x – 3 cot(x³ + y

A: We will find the implicit differentiation. 

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: Srk to justiry a STAE Find the equation of the tangent plane to f(x, y) = In(/x² + y²) at the point ...

A:

Q: 1. sin

A:

Q: Sa2 – 6x +1, x 6 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) = (i...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

A:

Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: W. A. Mozart’s opera Die Zauberflöte is scheduled to premiere at Theater auf der Wieden. If the stag...

A: This question can be solved using the concept of area under curve.

Q: If f(x) 4 cot r + 10, then find the value of f'(-7) is O 4 50 4 50 10 50 V50 7,

A:

Q: 1. Complete the following tables of values to investigate lim(x? - 2x + 4). S(x) f(x) 0.5 1.6 0.7 1....

A:

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: dx (apply the properties on how to solve improper integrals 1 – x²

A: Given query is to find the value of the integral.

Q: ( 22 – 3z + 1, z < 3 14- 2, *23 valuate the following limits for h() = and Justify your answer.

A:

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A:

Q: 90 cos(0) d0; u = 90, dv = cos(0) de %3D

A:

Q: Show your work to justify your answers. Write your solutions properly, neatly, and carefully. s) Fin...

A:

Q: Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double in...

A:

Q: y = ecos²(x) is: eCos? %3D y' = - sin(2x)ecos²(x) y' = sin(2x)ecos²(x) the above the above y' = -2 s...

A: Here we will find the derivative of the given function,

Q: Find the arclength of y = 2x/2 on 1 < x < 3

A: