Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

Q: Sketch the vector field F(x, y) = xỉ + yj and calculate the line integral of F along the line…

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Q: Find domains and ranges of the following relations? Write domains and ranges in interval notation

A: We can find the domain and range from the graph in the following steps.

Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: Write an equation for the polynomial graphed below 5+ 4+ 3+ 2 -5 -4 -3 -2 -1 -1 y(x) = -2- -3 -4 -5…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: Q. 1. a) Find the area of the region enclosed by the curve y = x² -2 and by the line y = 2. y=x²-2…

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Q: 3. X+Y)/4=5Z

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Q: Consider the following graph. Step 2 of 2: Determine the domain and range of the graph. Express your…

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Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: 40. The graph above represents f (x). Which of the following graphs represents f(x)? А. B.

A: Graph of the function f'(x) is given we have to find the graph of the function fx

Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: For the function, find and simplify f(x) = 6x² f(x +h)-f(x) h f(x+h)-f(x) h (Assume h = 0.)

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Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: n Exercises 1-8, evaluate the function at each specified value of the independent variable and…

A: Given:- fx=3x-7 To find:- f3 f-2 fa

Q: x5 + 16 (x²-x)(x4 + 8x² + 16)

A: Topic:- application of calculus

Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.

Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: EXAMPLE 6 Using the second-derivative test Use the second-derivative test to determine whether each…

A: Given Equation: f(x)=3x5-5x3+2

Q: nd the x- and y-intercepts for the function. f(x) = x+10 x2 +25

A: Given query is to find x and y intercept of the function.

Q: A sports franchise revenue can be modeled by the function R(t) = 337 + 8t. Their operating costs are…

A: Given data:- Revenue function R(t) = 337+8t Cost function C(t) = 245+20t

Q: If log₂ (4x + 5) = 2, then x =

A: According to rules, I need to answer first question when multiple questions are posted

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The following table shows the daily receipts in millions of dollars of the movie "avatar" for…

Q: Write interval notation for the given graph. -10 9 -8 -7 -6 -5 The interval notation is (Type your…

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Q: (c) 2e²x + 3xe* = 0,

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Q: Find y, of the following functions: (i) y=e³x+2

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Q: write out the first four terms of the series to show how the series starts.  Then find the sum of…

A: Given ∑n=0∞9n8+n3

Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Researchers developed a function that can be used to accurately predict the weight of female cows,…

A: Researchers developed a function that can be used to accurately predict the weight of female cows,…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: Let f(x, y) = axy + ax²y + y³. (a) div(grad(f)) : = (b) Find a so that div(grad(ƒ)) = 0 for all x,…

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Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.

Q: 1. Find the G.S. and P.S. of y" = 6x, y'(0) = 2, y(0) = 1.

A: We can solve the given differential equation by using the variable separable method.

Q: a) Find the simplified form of the difference quotient for the function f(x) = 5x² – 3x. b) Complete…

A: We have to compute quotient difference in this question.

Q: City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) =…

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Q: Find f. f. f 2 f(x,y,z) = 3x - √y² +2₂² f = 0 (Type an exact answer, using radicals as needed.)

A: f(x,y,z)=3x-y2+2z2

Q: 44. Given the alternating series: 1-+-+632... What is the error bound for an 80 term calculation? A.…

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Q: A company produces a special new type of TV. The company has fixed costs of $455,000, and it costs…

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Q: domain of g(t)= sin(et-1)

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Q: Solve the system or show it has no solution . If there are infinite numbers of solutions enter the…

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Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Consider the following function. f(x) = x4 − 2x2 + 9 Find  f(−x)  and simplify as much as possible.

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Q: A function g is given by g(x)=x²-9. Find g(-9), g(0), g(7), g(a+h), and g(- 9) = (Simplify your…

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Q: The series O True O False Σ (-1)^+1 n=2 n3+1 is absolutely convergent.

A: The given series is summation of (-1)n+1/(n3+1), n from 2 to infinity.

Q: For each equation, solve for each variable in terms of the other variables. For example: z = xy: x =…

A: We need to solve for each variable in terms of other variables in the given equations.

Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: Q3: consider the discrete time system is excited by the following sequence 2 0≤n≤4 elsewhere , then…

A: Given hn=200≤n≤4elsewhere