1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by comparing values at the critical points and endpoints. (Use decimal notation. Give your answers to three decimal places.) minimum: Incorrect maximum: 0.437

Q: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A:

Q: Solve the equation on the interval 0<0<2n. 4 sec 0 +6 = - 2 What are the solutions in the interval…

A: Given, 4sec theta +6=-2 0&lt;=theta&lt;=2pi

Q: By considering different paths of approach, show that the function below has no limit as…

A:

Q: DEFINITION

A: We will find the Laplaces Transform.

Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

Q: . L'Hôpitaľ's Rule Evaluate the following limits or explain why they don't exist. 1 lim 1 X→0 sin x

A: Rewrite

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A:

Q: 12г3 — 9г? + 2 dr

A: LetI=∫1612x3-9x2+2dxApply the Sum RuleI=∫1612x3dx-∫169x2dx+∫162dxTake constant…

Q: A right circular cone has a base radius of 6 feet and slant height of 10 feet. If the approximate…

A: We can solve the given problem by using differentials.

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: 1. Using double integrals find moment of inertia about the x-axis of the area enclosed by the lines…

A:

Q: need the answer quickly

A: Solve the following

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (22, 324, 13.54)…

A:

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

A:

Q: ²+² +1) d + a (a – 2y) dy = 0 %3D

A: Given problem:- Find the solution of the given differential equation:  (x² + y² + 1) dx + x (x - 2y)…

Q: For the parametric equation shown below, determine the value of (dyldx) and (d?y/dx?). x= 3t? – 4t+2…

A:

Q: 3 lim (1+ - +72 4.

A:

Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

A:

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: Solve the equation on the interval 0 s0< 2n. 2 sin 0 + 1 =0

A:

Q: 4e". se"ts dx de Let u* 2e*+2, e*. 2 dy =2e*dk 4 du - edx dx 4 p- du hp: T A 3 4 I du Ju 4 du A9 Let…

A:

Q: (D³ - 3D² - D + 3)y = 0

A:

Q: 1. A supermarket employee wants to construct an open-top bax from a 14 by 30 in a piece four corners…

A:

Q: Determine the exact value of 2 sincos cos 12 12

A: Given query is to find the exact value of the expression.

Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: Set A: Problem # 6 Fnd the eaquation of the line tangent to FG) = cos?x- sin*G) sin ) at

A:

Q: I. Find əx and and (whenever possible) for the following functions. az ne ду 1) w%3D 5x*у — 11ху3 +…

A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

Q: 20 22. cot 3 - V3 -

A:

Q: x = -2t 1- y = z – 8 and l2 2 - 3 Given: line lı : 4 y = 2 + 2t % = 6 + 2t 2. Find the equation of a…

A:

Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

A:

Q: nt Use the model A Pe" or A P where A is the future value of P dollars invested at interest %3D…

A: Let's find.

Q: Use the limit Compariso. Testidet- ermine whe ther the following serios is, convergent or…

A:

Q: Find the average value of the function f(x): 14 over the %3D interval [1, e]. NOTE: Enter the exact…

A:

Q: Given the serles Does this series converge or diverge? O diverges O converges If the series…

A:

Q: Use Shell Method only Find the volume of the solid obtained by rotating about the y-axis the region…

A:

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

A:

Q: what

A: We will find the velocity and time

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x – 1)(x…

A: Given :   Find inflection point equate to zero

Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: What are the local extreme values of the function f(x) = x' + 6x² + 2? a. None of these. O b. Local…

A: Use derivative for finding the local maxima and minima

Q: Evaluate sin (44º) + cos (29º) using differentials. Refer to special triangles.

A:

Q: Find the vector of length v7 in the direction of AB + AC

A:

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t? –…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question. Please…

Q: Solve the system. If the system has one unique solution, write the solution set. Otherwise, deter…

A: The objectives to find the solution of the system.

Q: Suppose z is a function of x and y, and z^xe^6y=y2+x2. Solve for ∂z/∂x and ∂z/∂y. [b]

A:

Q: f36-y (x +y?) dx dy 6 36 - y- 0 0

A:

Q: Consider the points A(2, – 1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations 3…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

Q: Current Attempt in Progress 9. Find f(2x + 4)dx if f(x)dx = 3. Enter the exact answer. f(2x + 4)dx…

A: