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Q: Consider the following. u = (-2, 4, 4) v = (0, 1, 9) Find u x v. Determine if u x v is orthogonal to…

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Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: Find d2y/dx2 if x = 3 - 2z and y = z2 - 3z3

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Q: a. f(x)=²x-2 g={(1,-1),(-1,1), (2,3), (-3,2), (6,2), (-2,0), (0,√3)} h(x) = √2x - 1 b. g C.

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Q: A) Evaluate S x √4x² de by letting u = 4 - x²

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

Q: Graph the functions in Exercises 23–26 in the ts-plane (t-axis horizontal, s-axis vertical). What is…

A: The given function is: s=cot2t  , s=cosect2

Q: y = p02-0

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Q: 3. Evaluate the following indefinite integ a) f dx 1 x ln(X)

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Q: Solve the ff. Linear Equation: 33 a. (x³y³ + 1)dx + x³y² dy = 0

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Q: ff.

A: The given equation is; x=(wt+B).

Q: Differentiate y with respect to a y cos²(a) + y sin²(a) = (cos(a)+37)² Select one: O a. y' =…

A: ycos2a+ysin2a=cosa+372

Q: Three partners (Jessica, Kyle, and Lorri) invest in a business in the ratio of 7, 23, and 14. How…

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Q: The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in…

A: Given query is to find the rate if change of supply

Q: Let an = 10n² + 4n-3 2.3n Determine lim an+1 Explicitly indicate dominant terms when taking the…

A: Given:- an=10n2+4n-32·3n

Q: The yearly demand function for Penn State Bakery cookie trays is given by x² + 4p² + 3x + 12p = 202…

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Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: For the curve y = Inx, find the equation of a tangent line parallel to the line 3x-y = 5 *Note…

A: given curvey=ln(x)

Q: 1. Solve the following problems with the second partial derivative test and with Lagrange's method.…

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Q: A car rental agency charges $200 per week plus $0.20 per mile to rent a car. a. Write an equation…

A: Given data : Car charges by rental agency $200 per week and $0.20 per mile to rent a car.

Q: X 6. What is the instantaneous rate of change at x = 2 of the function f given by f(x) = :-?? X-1

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Q: Identify the open interval(s) where f is concave up. [A] (-∞, -1) [B] (-∞, -3) U (-1,2) [C] (-1,00)…

A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

Q: Evaluate: 1. lim [√x² + x − √x² + 4] = X→ +∞ 2. lim [(x²-In(x + 1)) cotx] -0-x

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Q: Use linear approximation to approximate √36.3 as follows. Let f(x)=√x. The equation of the tangent…

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Q: 1. The sum of the first two terms of a geometric progression is 36 and the product of the first and…

A: Given :The sum of the first two terms of a geometric progression is 36The product of the first and…

Q: Solve the differential equation (d2y/dx2) - 7dy/dt = 0 if y(0) = 1, and dy(0)/dt = 1 A.…

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Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

Q: The point 2 is in the range of the function given by f(x, y) = True False 2x² x² + y²

A: We can check whether the statement is true or false .

Q: Set f(x) = 1 7x³ + 3x + 2 . (1, 1/12) is on the graph of ƒ. Find (ƒ-²¹) (¹2). The point 1,

A: The solution to find the value of inverse of f(x) at 1/12 is as follow.

Q: f6sin(x) cos(x)'dx.

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Q: Use polar coordinates to find the volume of the given solid. V = Inside the sphere x² + y2 + z² = 25…

A: Given sphere x2+y2+z2=25 And cylinder x2+y2=1

Q: Consider the ellipsoid x² + y² + 4z² = 41. The implicit form of the tangent plane to this ellipsoid…

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Q: Consider the following. y² – x² = 384; (8, 8√√7) Find the slope m of the line tangent to the graph…

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Q: Use any method to find the volume of the solid generated by revolving the region bounded by the…

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Q: c) fsin-¹(x) dx -1

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Q: 22. Use the graphs of f and g to sketch the graph of y = f(g(x)). . a. b. 8. -2 -4 2.

A: The given figure is:

Q: An airplane is flying in still air with an airspeed of 250 miles per hour. The plane is climbing at…

A: Given query is to find rate of change of height.

Q: 6) Daniel throws a baseball from the outfield to home plate. The height, h, in metres, of the ball…

A: Since you have posted  multipart question, I can do first three sub parts as per our company…

Q: Find the centroid of the thin plate bounded above by g(x) = x² and below by f(x) = x + 6.

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (13, 11, -7) Vw(13, 11, -7)=

A: I have solved step by step in detail.....gl through the solution.....remember the value  (4) under…

Q: Graph the lower half of the circle defined by the equationx2 + 2x = 4 + 4y - y2

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Q: 3) State the correct general form of the partial fraction decomposition for -x² + 3x5 +8 (x²+4)²(x²…

A: Since Multiple Questions are asked, I am answering the first question. (question3) and Since student…

Q: Set up the integral to be used to find the volume V, using both methods from Chapter 7, of the solid…

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Q: Suppose a company has fixed costs of $33,600 and variable cost per unit of x + 222 dollars, where x…

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Q: 2y Suppose f(x, y) = sin X in the direction of (1, 2). Then, 2y 2y i (a) ▼ f(x, y) = cos(2)21 +21) X…

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Q: C) Evaluate m√m - 1 dm D) Evaluate 32 dy

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: 6.1.5 Exercises 1. Area between two power functions. Find the area of the region between y = x¹/²…

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Q: Il Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: Let y = √√x. y'' = y''' =

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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