Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c = -3, d = 4, e = 6 and f = 3

Q: Find the limit. (If an answer does not exist, enter DNE.) X-9 lim X→9 x² 81 STEP 1: Factor the…

A: The objective of this question is to find the limit of the function (X-9)/(x² - 81) as X approaches…

Q: Suppose that f has a domain of [5, 13] and a range of [6, 16]. f(x) + 2? (a) What are the domain and…

A: The function  has a domain  and a range .The aim is to find the domain and range of (i)  and (ii) .

Q: Sin (7x) Sin (3x)

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Q: Find the total area between the region and the x-axis. a. y = -x²2x, -3 ≤x≤2 b. y = 3x²-3,-2 ≤x≤2

A: Given that the region bounded by  and the x-axis.and the x-axis.

Q: The figure shows a belt partly wound around a pulley, where the angle is given by 1 dT μT 0=(₁ T₂ Ꮎ…

A: The given figure is shown as,The angle is given bywhere, is the coefficient of friction. and  are…

Q: Use the graph below to fill in the missing values. -1 4 3 2 1 f(0) = f(x) 2 f(x)=0, x= ƒ-¹(0) = ƒ…

A: A graph of the line is given.The aim is to find the following values,

Q: 22 Perform the indicated operations (a) (4-2i) (4 + 2i) (b) (2 + 4i) ²

A: A) (4 - 2i) (4 + 2i) We know the formula (a+b) (a-b) = a2 - b2 So, expiration becomes, = 42 - (2i) 2…

Q: 10. Zeros of 2, 5, and -3; P(1) = -4 D(1)

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Q: show step by step working out please i need to understand the concept .thanks

A: The objective of this question is to find the volume of the solid generated by revolving the region…

Q: Find the equation of the tangent line to the graph of f(x) = (2x+ 9) (x²-12) at x = 3

A: To find the slope(m) of the tangent line , calculate the value of the first derivative of the given…

Q: F(s) = (8-2)e-* 8²-48 +3

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 (4, 5)

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Q: (4) √x³√x² +1dx

A: We solve the given problem using the substitution method.

Q: please help step by step

A: The objective of this question is to find the equation of a parabola given its vertex and a point it…

Q: Let f(x) f-¹(x) = 1 x + 11

A: we need to find the inverse of the function.

Q: Given f'(x)= Ox=8 Ox=4 Ox=2 Ox=0 x²-8x (x-4)² determine the x-value where a relative maximum exists…

A: Given , to determine the x-value where  a relative maximum exists  for .

Q: points of the function. P(x, y) = 4x² + 2x² + y² - 2xy 2 and classify each of a local maximum, local…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: In AABC, AB = 74 cm, CA = 85 cm, and A = 119º. A) What equation would you use to solve this problem?…

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Q: Solve the following problems and show your complete solutions. Explain your answers for better…

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Q: In Exercises 41-56, use the circle shown in the rectangular coordinate system to draw each angle in…

A: (50)The given angle is .The aim is to sketch the angle in a standard position.

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) sin 7t 6t…

A: The objective of the question is to find the limit of the given trigonometric function as t…

Q: Graph the piece-wise H|₂x| 2 -X+4 f(x) = function. > 1 > for X1

A: In this question, we will graph the piece-wise function.

Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

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Q: 15. i 6

A: Given(15)i

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: Find the volume of the largest rectangular box in the first octant with three faces in  the…

Q: -1 ons for the given integral have two parts, one of the trapezoidal rule and one for Simpson's…

A: Note:-Since you asked multiple question both are not interlinked, as per our policy we can answer…

Q: A population of insects can double in 22 days. After 72 days, how many times greater will the…

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Q: g) f h) S i) f sin √x √x dx a+bx² √3ax+bx3 z² -dz z³+1 N dx

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Q: please help step by step

A: The objective of this question is to find a polynomial function that has the given zeros -2 and 5. A…

Q: 12x e³x ax 3x е

A:

Q: Evaluate the following indefinite integral. 1 S-=-²/3 7x dx

A: To evaluate the following indefinite integral.

Q: Consider this problem: Find the area of the region enclosed by the parabola, y=1+x², the vertical…

A: The objective of this problem is to find the area under the curve of the function y = 1 + x² between…

Q: 1. For what values of x is the following function discontinuous? Ox=-6, -2, 1,8 Ox= -2,8 Ox= -2,1 O…

A: The objective of this question is to determine the values of x at which the given function is…

Q: 2. In the following exercises express the integrand as a sum of partial fractions and evaluate the…

A: Note: You have posted multiple questions. As per Bartleby's guidelines, I'll solve the first…

Q: Decide whether the limit exists. If it​ exists, find its value.

A: The objective of this question is to determine whether the limit of the function f(x) = 4 - x as x…

Q: 3. For f(x) = 2x + 1, find the value of f(x)-ƒ(3) and simplify as much as possible.

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Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x) and lim f(x). X→(-1)…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) V

A: given graph of f(x)

Q: For the following exercises, use the graphs of f, shown in Figure 4, and g, shown in Figure 5, to…

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: L E 7. 2 central angles 8,2 inscribed angles BAA

A: Given:A figure of a circle with different angles.To find:Central angle and inscribed angle

Q: Create a table of values for the function f(x) lim X-0 4 -0.1 -0.01 -0.001 Use the result to explain…

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Q: Solve the initial value problem. dy dx y = = 5+ 1 y(1)=7

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Q: Let C be the positively oriented square with vertices (0, 0), (1, 0), (1, 1), (0, 1). Use Green's…

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Q: Suppose F(x, y) = (x + 5)2 + (4y + 6). Use the fundamental theorem of line integrals to calculate…

A: The objective of this question is to calculate the line integral of a function F(x, y) along a line…

Q: Solve for x. 22 3x + 8 2

A: 2|3x+4| 8

Q: Use the position function s(t) = –16t 2 + 490, which gives the height (in feet) of a free-falling…

A: The objective of the question is to find the velocity of a free-falling object at a specific time…

Q: The derivative of f/ of a function is continuous and has two zeros. Selected values of f/ are given…

A: As we know The function f(x) is increasing when The function f(x) is decreasing when

Q: The exponential models describe the population of the indicated country, A, in millions, t years…

A: The exponential models describe the population of the indicated country, , in millions,  years after…