2 dy 67 +13

Q: 9 At what point do the following lines in R³ intersect? h: (x, y, z)=(3, 1, 2) + s(1,0,2), SER 1₂:…

A: Let's find point of intersection.

Q: lim,→-1 22²+2-1 2+1

A: See the answer below

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

A:

Q: The value of a car depreciates exponentially after it is purchased. In other words, V(t) = 20(0.5)t…

A:

Q: Give the general equation of the plane containing the point (3,-1,4) and 2-2 -3 4. | perpendicular…

A: given plane pass through the point(3,-1,4)

Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

A: We have to choose the correct option from the given options according to the given information

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A:

Q: Given a function y² z f(w, x, y, z) = 2(w + 1)²x - xe² + W which of the following is not part of the…

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Q: 36 In the evaluation of fa* cos(a) dar, which one of the following is an integral that is involved…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

A:

Q: Which of the following represents the derivative of fat x? f′ (x) = f(x1¬Ax)+f(x1) Ax f′ (x) =…

A: We have to choose the expression that represents the derivative of f at x.

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: whats the value of alpha?

A: In question their is no such variable alpha . Question is incomplete.

Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: Find the area of the region bounded above by y = sin(x) and below by y = cos(x 2 1.5 4 0.5+ X

A: Using horizontal /vertical strip

Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

A:

Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: Which one of the following is the gradient of the tangent line at the point (5, 1) on the graph of,…

A: To find the gradient of the tangent line of the point (5,1) on the graph of x+xy+2y2=12 Formulae…

Q: What is the limo+ (√In(x))? For answers that are fractions infinity ti infinitu write... in decimal…

A: We are asked to find the limit of the function.

Q: Which of the following is TRUE for all? All functions are continuous at all points in its domain.…

A: Given :   Continous and differentiable functions

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A: We need to do integration of our given function. Which we can do it as

Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = -2 y = X 2

A: Integrating the given function gives the antiderivative.

Q: Below are three functions with their domains and codomains specified. For each one, classify it as…

A:

Q: Find the first partial derivatives of the function. f(x, y) = x6y3 + 4x7y

A:

Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

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Q: Solve this question yey = 1

A:

Q: Find the lim, lim, 0 0 (cos x)2 Show your complete solutions. No shortcuts.

A:

Q: The trigonometric function is defined by ƒ(x) = 2sin4(x-7)+4 a) tate the transformations and key…

A:

Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

A:

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

A:

Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

A:

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved about  the line x =…

A: Given problem:- The area bounded by the lines x = 0, x = 2, x + y = 4, and x – y = 4 is revolved…

Q: Identify and sketch the graph of y = x² + 1 in R³.

A: Given:

Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

A:

Q: ect the best technique to integrate each function. ® Na'da 5 dx 16 V √ √₂²³-11 ·@fe²√5 + ode x + 7…

A: The objective of the question is matching the given indefinite integral.

Q: Give a general solution of the differential equation y"—4y'+13y=4e¯5t .

A: To find the general solution of the given differential equation.

Q: Evaluate: lim-0 (cos 2x) 2²

A:

Q: A skydiver weighing 176 lbf (including equipment) falls vertically downward from an altitude of 5000…

A:

Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

A:

Q: 5. Identify and sketch the graph of y = x² + 1 in R³. M

A: y=x^2+1 x=0 y=1 x -3 -2 -1 0 1 2 y 10 5 2 0 2 5

Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

A:

Q: 4. | Give the general equation of the plane containing the point (3,-1,4) and 2-2 perpendicular to…

A:

Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: Let A be a 2 x 3 matrix, B be a 2 x 3 and C be a 2 x 1 matrix. Which of the following could be ABC?…

A: follow next step

Q: Write the following sets in set-builder notation. There may be more than one correct way to do it.…

A:

Q: Find the area between the y-axis and the graph X = Y 7 6 5 4 X 543-2/1² 1 2 3 4 5 WŃ y - 1 on the…

A: Here we have to use the concept of integration

Q: 29 ² (²4) is the derivative of a function g(x). Over which one of the following intervals is the…

A: Given :g'(x)=x2x2-4x2+1