Find two units vectors or 6³² = < 0,5,8) thogonal to both ū² = (1, 2,-4) and

Q: Find a parameterization for the curve y = 6 + 2x¹ that passes through the point (0, 6, -5) when t =…

A: To find the parameterization of the curve

Q: Problem #9: Solve the initial value problem Problem #9: y" - 4y' - 12y = 0, y(0) = 1,y'(0) = -1

A: we need to solve the given differential equation.

Q: A board 20 feet long slides down a wall. At the instant the bottom end is 16 feet from the wall, the…

A: The objective of this problem is to find the rate at which the bottom end of the board is sliding…

Q: If f(x)= 5x sin x cos x, find f'(x) and f'(3)

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Q: Suppose ƒ(x, t) = xª sin(5t). (a) At any point (x, t), the differential is df = (b) At the point…

A: The given function is .

Q: Solve the following Calc 3

A: The objective of the question is to find the dot product of two vectors v and u. The dot product of…

Q: A corporation has a continuous compounded bank account with 2.7% annual interest. The board of…

A: For compounded continuously rate of interest amount at time ttime in yearsinitial amount

Q: The magnitude and direction of two forces acting on an object are 50 ​pounds, S61degrees°​E,and…

A: The objective of this question is to find the magnitude and direction of the resultant force when…

Q: Please help me with this thank you!

A: The objective of this question is to apply the chain rule in calculus to find the derivative of the…

Q: 2. If the portion of y 2 between x = 0 and x = 4 is rotated about the x-axis, what would be the…

A: Given that the region is bounded by the curve  between The surface area of the revolution about…

Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t)…

A: To find the domain of the following vector functions.

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A:

Q: #14: Solve the rational equation. Be sure to state any restrictions on the domain. 14. 2x+4 2x-3…

A: Solutions : 10 Restrictions : 23​,−3Explanation:

Q: A farmer has 1,600 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: We need to find out the dimensions of each enclosure when the total area is maximum, also the area…

Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

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Q: The rational expression ( 8x² + 3x)/((x² + 1)(x² + 4)) has partial fractions expansion Ax+ B Cx + D…

A: The rational expression  has partial fractions expansion .To find the value of A.

Q: Compute the indicated quantity. (Round your answer to the nearest cent.) An investment earns 5%…

A: An investment earns 5% interest, compounded monthly, and is worth $5,000after 10 years. To find its…

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: The objective of the question is to find out the percentage of established authors who are…

Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = if…

A:

Q: Find the distance from the point (0, 4, -1) to the plane 3x − 3y + 2z = 4.

A:

Q: long divison

A: x+x−32​Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 1. Set up the integral to find the length of one cycle of the sine curve (y = sinx, where x is…

A:

Q: A traffic engineer monitors the rate at which cars enter the main highway during the afternoon rush…

A: Given the rate R(t) at which cars enter the highway is given by the formula  cars per minute.

Q: 1 Given the geometric sequence: 10, ¹40 Find an explicit formula for an, where the first term is a₁…

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Q: 16. Perform the following complex operations. Write your answers in the form a + bi. (a) (3-i) +…

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Q: The senior class is having a fundraiser to help pay for the senior trip. Selling a box of chocolates…

A: The senior class is having a fundraiser to help pay for the trip. Selling a box of chocolates yields…

Q: (a) Find fave of f (x) fave i = 2x over [0, 6]. e Textbook and Media

A: We do only first part of multiple questions.Given,.We know that the formula of average value of…

Q: #1 & 2: A polynomial has roots 41, 2, and - Its standard form equation has integer coefficients. 1.…

A: 1)Factored form is f(x)=(x2+16)(x−2)(2x+3)  2) Standard form is: f(x)=2x4−x3+26x2−16x−96Explanation:

Q: One method of slowing the growth of an insect population without using pesticides is to introduce…

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Q: The table below gives the power consumption P in megawatts in a county from midnight to 6:00 a.m. on…

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Q: In Exercises 1-6, find the general solution of the differential equation specified. 3 dy 1. = dt 3.…

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Q: Find the vector equation for the line of intersection of the planes x + y - 4z = 4 and + 4z = -2

A: We have to find the vector equation.

Q: The marginal cost producing the (x + 1)st, or next item. at a given production level æ approximates…

A: Need to put the correct word in the blank for the question number 3.

Q: z = y² sin(3x) + 5y Calculate the derivatives. You do not need to simplify your answers. Əz dx 1.…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: pls do part b

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Q: If f(x) = 3 + - LO 5 5 2 12 3 Find f'(3). x 5 6 + X 22 find f'(x).

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Q: 28 Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

A: Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

Q: 1 Sketch a graph of f(x) = (x − 3)² – 2 - 2 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 1 2 3 4 5

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Q: Use the equation to find dy dx || dy dx dy dx OF ax OF ay 11 4*4* cos(xy) = 2 + sin(y)

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Q: A circular swimming pool has a diameter of 16 m, the sides are 4 m high, and the depth of the water…

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Q: The quadratic function, f(x) = (x + 1)² +9, is shown in the graph below. 10 a = 15 b = 10 0 This…

A: The given quadratic equation is

Q: sin²(t) + cos²(t) sin²(t) 2

A: f(t)=sin2⁡(t)+cos2⁡(t)sin2⁡(t)

Q: Given the equation y = 5 sin(3x + 18) + 2

A: we need to find out the horizontal shift.

Q: Find the equation of the tangent plane to the surface z = 4y² – 16x² at the point (-4,-2,-240). Z=…

A:

Q: Find the zero-state response yzs(t) of a system having impulse response h(t) = u(t) using the…

A: The objective of this question is to find the zero-state response of a system using the convolution…

Q: The graph of y=√x is shown in black. Match each equation with a graph above. y=√x+2 y = √√√x+2…

A: The graph of  is shown in black. To match each of the given equation with their graph.

Q: x² sin x (x, y) (0,0) x² + y² Determine whether lim exists.

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Q: True or false: the following is an identity. Assume that is in radians. JUSTIFY your answers…

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Q: Water is run at a constant rate of 1 ft3/min to fill a cylindrical tank of radius 1 ft and height 6…

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Q: Given the following functions, find the following combinations and their domains. Sim- plify fully.…

A: