Find the equation of the plane through the point P = (5, 3, 3) and parallel to the plane 3y – 5x – 4z = 4.

Q: 3x dx | sec 2

A:

Q: Find r'(t), r"(t), and r'(t) r(t) = (t2 + 9t)i – 3t2j %3D -

A:

Q: Let h(x) Find the function given below. 7 h(5и — 7), и # Answer h(5и — 7) %3D.

A:

Q: ORegion hamded. by. S=-xrd 33-X=4

A:

Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: Find and classify the critical points of the function f(x, y) = x² + 2xy+ 3y + 2x +y . %3D O (-2,1)…

A:

Q: 13– 26, where 0 <t <3.5 (in Suppose that a particle moves along a straight line with velocity v(t)…

A:

Q: Lal 3+4" 2" which of the following is correct? To use the comparison test on the series O None of…

A: Given query is to find the correct option option.

Q: Question 1 Given: xy = tan(a - y). Find dx/dy. %3D tan (z-y) sec (r-y)- " +tan? (-y) sec" (7-y) O dr…

A:

Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: Find the area of the shaded region. f(x) = 6x – x² – x³. 0 = (x)6' x The area iS (Type an integer or…

A:

Q: Under a change of variables æ = u², y= v³ , the infinitesimal element of area dædy becomes 3u?u°dudv…

A:

Q: Problem 4 A firm's profit is determined by subtracting its revenues from the cost of production.…

A: Given problem:- A firm's profit is determined by subtracting its revenues from the cost of…

Q: PQ1

A: Given, f'(x)= cubic function  We know that, If we take the derivative  of the given function, We…

Q: A function is defined by if n is even S1, f(x) = anx", where a, if n is odd 2, n=0 a) Determine the…

A:

Q: %3D 4 4

A:

Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: 2. Let {an}, be a sequence of real numbers. Let a2k and a2k+1 be the even and odd terms of this…

A: To prove that if complementary subsequences converge to same limit then sequences also converges to…

Q: A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and…

A:

Q: 9. 8- 7- 6- 2 9-8 -7-6 -5 -4 -3-2 123456 789 -2- -3- -4- -5 -6 -7 -8 -9- 9786 654 32

A: Topic = Circle

Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

A:

Q: Evaluate I = Se(sin z + 4y) dz + (5x + y) dy for the nonclosed path ABCD in the figure. %3! A =…

A:

Q: Determine whether the series is convergent or divergent. If it is convergent, write its sum. Justify…

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 5 F(x) cos (t*)dt. CoS…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum. 9. +... +(-…

A:

Q: What is the value of e*dx? Select one: O a. 1 O b. 2 O c. The integral diverges. O d. e 8

A:

Q: B. Determine the slope of the tangent line at a given value of x. 6. f(x) = x 7. f(x) = -4x3 – 2. 8.…

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: de Evaluate: J æ/9a2 + 4 A f (x) = 9x2 + 4 + 2 In +C 3x (B f (x) = -2 ln V9x2 + 4 + 2 +C 3x © f (x)…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V27.1 as follows: Let f(x) = VT. The…

A:

Q: 74. Aerobic Exercise A woman keeps fit by bicycling and running every day. On Monday she spends h at…

A:

Q: Find the absolute maximum and minimum values of f on the set D. {«, m10 sx s 2,0 s ys3} f(x, y) = x2…

A:

Q: A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric…

A:

Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. f(x)=x2. f(x)=-4x3-23. f(x)=1x Note:     Multiple parts are given, we are answer with three parts…

Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

A:

Q: Let an and bn be infinite serics with positive terms. Which is a conclusion of tl n=1 n=1 Limit…

A: option (a) is correctsee below the clarification

Q: Evaluate the limit x +y lim (x,y)→(0,0) sin y O None of these O The limit does not exis O-3 O3

A: Given problem:-

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

A:

Q: Jse the Substitution Method to evaluate the definite integral. * (In x)* dx

A:

Q: Find the general solution of the given system. 10 -5 X' = 8 -12 X(t)

A:

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: Evaluate the line integral L(r – y*)dx + (1+ y² + =*)dy, where Cis the circle of radius 2 centered…

A: We have to evaluate the value of the integral

Q: QUESTION 2 If a company has a monthly fixed cost of $24,000 and variable cost of $5 each to produce…

A:

Q: Write a triple iterated integral in dzdydx and dzdrd(theta) for the solid shown

A:

Q: 109 109 Suppose that > a; = -13 and > bị = 16. Comp i=1 i=1 the sum. 109 2 (8a; + 24b;)

A: ∑i=1109(8ai+24bi)=∑i=1109 8ai+∑i=1109 24bi=8∑i=1109 ai+24 ∑i=1109 bi

Q: "0. Mixture Problem A biologist has two brine solutions, one containing 5% salt and another…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ; Suppose v · w = 8 and ||3 x w|| = 2, and the angle between v and w is 0. Find (a) tan 0 (b) 0 =

A:

Q: Does the following series converge or diverge? 9+8 cos n Σ n' n= 1 The series converges. The series…

A:

Q: Question 9 A souvenir shop sells special mugs at a price of $15 each, and at that price, a total of…

A: