Consider the function f(x) = = 8x² x-6

Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O-4 and 2…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

Q: Find fx fy and f, and evaluate each at the given point. f(x, y, z) = xy x+y+z (3, 1,-1) fx(x, y, z)…

A: The given function is

Q: Give the partial fraction decomposition for the following expression. x² - 6x +29 2 X (x - 5)(x-1)(x…

A: we need to give partial fraction of

Q: Find the absolute maximum and absolute minimum values of f on the given interval. 4 f(x) = x +-…

A: Critical point of the function is the value of the function at which derivative of the function is…

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec² (9t) tan²…

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Q: question e,f

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Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: +² dt F(x) In(t) F(x), determine whether F is inc a dec x>2 at x=2020

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Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: To find:-The given graph

Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6x³ +54x² + 144x. g'(x)…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Values Function w = y³ - 2x²y s=-3, t = 6 x =…

A: To find  by using the appropriate Chain Rule.Function: Values: To evaluate each partial derivate at…

Q: Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is…

A: In this question, we will find the interval of increasing and decreasing.

Q: (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t, 3sin(4t)] when t = 0. :

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: -4-3-2 VA 3 2 1-2 x = – 1 y = 1 3 4 5 x x = 2

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Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

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Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: (a) Find parametric equations for the line segment that joins the point P(-1,-4, -3) to the point…

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Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

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Q: Let f(x) = 3x + 3 and g(x) = −3x - 7. Compute the following. (a) (fog)(x) (b) (fog)(8) (c) (gof)(x)…

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Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

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Q: Find the derivative of: Type your answer without negative exponents. Simplify completely. 25x 3…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x-1+√y-4

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: 6. Logarithmic differentiation Use logarithmic differentiation to evaluate f'(x). f(x)=(1+x²)in x

A: The given function .The aim is to find the derivative of the function using the logarthim…

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve

Q: The vectors (8, 12, 16) and (6, -9, 12). are parallel. Select one: O True O False -

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Q: Find the differential of the function. dy = y = √ 8-t6

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Q: Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - X

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: At what point(s) on the curve x = 6t² + 9, y = t³ - 5 does the tangent line have slope 2 (x, y) =

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Q: Verify the identity + 1+cos 0 1-cos 0 2 + 2 cot²0

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Q: Sketch the region of integration of 2 So Soft + S₁² √ √² Then evaluate the integral by first…

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: Let h(v) = 4v v² +6

A: h(v)=4vv2+6

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x)…

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Q: v+1 v-15 Determine the intervals on which g is concave down. Consider g(v): Og is concave down on: O…

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Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: Solve the following differential equations using HOMOGENEOUS DE. Show your complete solutions. 2.…

A: To solve the following differential equation by using Homogeneous DE.

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Question 7 What is a function that could have 4e4 as its derivative? Question Help: Message…

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Solve the equation for x in terms of the other letters. (Enter your answers as a comma-separated…

A: Given data

Q: Suppose the solid W in the figure is one- quarter of a circular cylinder of height 4 and radius 6…

A: Suppose the solid W in the figure is a one quarter of a circular cylinder with a height 4 and radius…