1. Complete the table. Interval Set-Builder Graph Notation Notation а. -3 7 b. (2.1, 0) {x|4 >x} с.

Q: Find a unit vector normal to the plane containing u=2i-3j-k and v= -2i-2j-3k. A unit vector normal…

A: A plane containing the vectors u=2i-3j-k and v=-2i-2j-3k We have to find unit normal vector.

Q: True or false: = 82. 82 1.

A: Given data:- The given equation, 18-2=82

Q: part B and C

A:

Q: Question 3 Find an equation of the tangent line to f(x)=2x²-3x+5 at x=-3 Oy+32 -15(x+3)…

A:

Q: Find an equation of the tangent line to the curve at the given point.

A:

Q: a. Find the inverse of ƒ(x) = x + 1. Graph ƒ and its inversetogether. Add the line y = x to your…

A: The concept used: Inverse function  An inverse function that reverses into another function is…

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

A: Detailed solution is given

Q: A thermometer is taken from a room where the temperature is 23°C to the outdoors, where the…

A: Explained below

Q: of y = (2-6) ³ 3x+4 Find the derivative of y =

A: option =c    is correct

Q: In Exercises 65–76, write each number in decimal notation without the use of exponents. 65. 3.8 x…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: lim (z,y) →+(π/4,1) y tan z 3+1

A: See the details solution in below

Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 M P 1 PT N 7 4 f(x)= 311 I 51…

A: Topic- Graph of a trigonometric functions. we are given graph of a function and we have to write it…

Q: Solve the following differential equations. Question 7 x dy/dx  - 2y = 2x4 when x=0, y = 1.

A:

Q: Problem 3. Consider the integral Using the area interpretation of the definite integral, convince…

A:

Q: An algebraic expression is . parentheses have been removed and like terms have been combined. when

A: Algebraic Expression:- In mathematics, an expression that incorporates variables, constants, and…

Q: Integrate by part S 1 xe-2x dx

A: we can solve the given integral.

Q: 2.42 0,2х-2х+8

A:

Q: Show that the following system is exact and find the function H(x,y): { x′= 2y + x^2+ 1, y′= −2xy +…

A:

Q: Use the Product Rule to find the derivative of the given function. Simplify your result. b. Find the…

A: Given data:- The given equation is, y=t2+7t3t-4

Q: D. Solve the Bernoulli's DE: dy dx 4y³ (x²+4). ·+ 4xy¹ = (x² + 4)²

A: The given equation is; 4y3(x2+4)dy/dx + 4xy4 = (x2+4)2.

Q: Solve equation .Round decimal answers to four decimal places. ex-4 = 4

A: Given data:- ex-4 = 4

Q: QUESTION 10 Determine the infinite limit: lim 3* 3 x 4+ (x+1) (x-4) ³ 8 Click Save and Submit to…

A: I am attaching image so that you understand each and every step.

Q: Given that y(t) = c₁e6t + c₂e-ot is the general solution of the differential equation y" - 36y=0,…

A: given general solutiony(t)=c1e6t+c2e-6t

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: Parametrize the intersection of the surfaces y² - z² = x - 1, y² + z² = 36 using trigonometric…

A: We need to parametrize given surfaces.

Q: What procedure can you sometimes use to express the inverse of afunction of x as a function of x?

A: Concept used: Inverse function The inverse function can be created by reversing the function.…

Q: determine if it diverges or converges 2. n=1 2n e²n n

A: See this solution in below.

Q: Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the…

A: GIven:-p(x)=sec(πx2) we have to find the vertical asymptotes of p(x) for |x|<2.

Q: A bank offers a CD that pays a simple interest rate of 2.5%. How much must you put in this CD now in…

A: Recall: Formula for future value     FV=P1+rn Where, P=present value             r=interest rate…

Q: f(x) = x² + 1 3-x (√x if x ≤ 1 if 1 4

A: Given :fx=x2+1if x≤13-xif 1<x≤4xif x>4

Q: Radioactive Decay:  Carbon-14 has a decay rate of 0.012097% per year. The rate of change of an…

A:

Q: The graph of a function fis given. Use the graph to estimate the following. y W 1 (a) All the local…

A: A local maximum value of a graph is the point where the y-coordinate has the larger value than all…

Q: Find the area, in square units, bounded above by f(x) = 4x² + 9x - 24 and below by g(x) = 5x² + 21x…

A:

Q: Find the domain and range of the function graphed below. 8 7 6 Domain: (-00,00) 15 Range: 3 -8 -7 -6…

A: The graph of the function is To evaluate: The domain and the range of the function.

Q: A quadratic function f is given. f(x) = 4x² + 8x + 5 (a) Express fin standard form. f(x) = (b) Find…

A: The given function fx=4x2+8x+5 We have to find x intercept and y intercept and also sketch its…

Q: For the equation given below, evaluate y' at the point (1, −2). (6 + y)³ + 4y = x + 55.

A:

Q: 85. The results of a political poll indicate that the leading candidate will receive 51% of the…

A: Given: The leading candidate will receive 51% of the votes with a margin of error of no more than…

Q: e sum of the square roots of any two sides of an isosceles gle is equal to the square root of the…

A: Isosceles triangle have two equal sides in length.

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: We have to graph the function.

Q: graph the function f by starting with the graph of y = x2and using transformations (shifting,…

A: Concept used: Transformation function To find the transformation, compare the function to the parent…

Q: graph the function f by starting with the graph of y = x2and using transformations (shifting,…

A: Concept Used: Transformations of graph To find the transformation, compare the function to the…

Q: Given the table for f(x) and g(x) below, find the following: f(x) 7 6 0 4 8 x 0 1 2 355 4 6 7 8 9 9…

A: Given query is to find the average rate of change for the Indicated interval.

Q: For Exercises 99–103, perform the indicated operations. 1 + =i 6. 99. + -i 100. (4 – 7i)(5 + i) 3 5…

A: 99. Given expression, 23+35i-16+25i Now simplify the given expression, 23+35i-16+25i=23-16+35-25i…

Q: A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S…

A:

Q: QUESTION 6 Where is the below function continuous? x+2 x1 0 (-∞0,00) O (-∞,0) U (0,00) O (-∞,1) U…

A:

Q: Evaluate the limit 8 02 15 2 lim x- 2 4x² 7+ 3x - - 1- x - 2x²

A:

Q: (a) graph each quadratic function by determining whether its graph opens up or down and by finding…

A: Concept Used: Basic properties of the function Vertex: Use the vertex form, y=a(x-h)2+k, to…

Q: -(-a) =

A: Given data:- The given expression is, --a=______?

Q: Can a real number be both rational and irrational? Explain your answer.

A: Real number This shows that there are various types of real numbers, such as natural numbers, whole…

Q: PROBLEM: Write the general solution of the differential equation defined by…

A: We will find the required  general  solution  of given differential equation.