tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: Find the limit, if it exists, or type 'DNE' if it does not exist.

A:

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

A:

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: The base of the triangle is decreasing at a rate of ≈ 3.012 cm/min.Explanation:Step 1: Given:…

Q: A rectangle has a length of 8 inches and a width of 6 inches whose sides are changing. The length is…

A:

Q: Let (f : [0, infinity) -&gt; R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that a function f(x), which is continuous and…

Q: Need help with A and B of this equation

A: (A) N′(x)=x23630​ (B) N′(10)=36.3At $10,000 level of advertising, sales are increasing at the rate…

Q: Find volume by revolving the region bounded by y=sin(x) and y=0 between x=0 , x=pi about the y axis…

A: To find volume by revolving the region bounded by between  about the y-axis by using shell method.

Q: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg is…

A: Given: A right triangle has legs of 15 inches and 20 inches whose sides are changing. The short leg…

Q: Consider the equation ex+3y+4x+9y+ sin(xyz) + 12z = 1 The implicit function theorem implies that…

A:

Q: 20. Given a = [3,-5, 1], b = [−2, 4, −1] and ♂ = [7,3, −2], find a) b.z b) ax c c) 0, the angle…

A:

Q: Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem…

A: All solutions to the given question are explained in the explanation section.Explanation:Solution 1…

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: Note: According to Bartleby guidelines we can solve only one question.  If you want more questions…

Q: If possible, can you provide me with a summary (2-3 paragraphs) that explains surfaces, functions of…

A: The objective of the question is to understand the connection between surfaces, functions of…

Q: A manufacturer believes that the cost function 5 C(x) = x²+90x+900 approximates the dollar cost of…

A:

Q: let F(x)=f(x^7) and G(x)=(f(x))^7  You also know that a^6=12 , f(1a)=3,  f prime of a = 11, f prime…

A: The objective of this question is to find the derivatives of the functions F(x) and G(x) at the…

Q: Show that the sequence (1/nk) nen is convergent if and only if k ≥ 0, nEN and that the limit is 0…

A: The sequence is convergent if and only if k ≥ 0.Explanation:Let us analyze the given sequence step…

Q: Find the centroid of the region 8 -8 8 x

A: Given:a region consisting of a triangle and a quarter circleTo find:centroid of the region.The…

Q: The velocity of blood through a vessel is given by v = K(R² - 2), where K is a constant, R is the…

A: The required volume is:V=0.05 cm3Explanation:The given expression for the volume is: V=∫0R​v(2πr) dr…

Q: d) If_lim_ƒ(x) exists, then f(x) must have a horizontal asymptote. x--∞ e) It is possible that…

A: Given, three statements for true and false

Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at…

A:

Q: Solve the following system of equations using any appropriate method of your choosing: • x-y+z=8…

A: The correct answer is:(x,y,z)=(3+2z,-5+3z,z)Explanation:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

Q: The Integral Test: Suppose f is a continuous, positive, decreasing function on [1, 00) and let an =…

A: The objective of the question is to understand the importance of the function f(x) being decreasing…

Q: (Text' . | Find a ⋅ b if |a| = 5, |b| = 4, and the angle between a and b is radians. 8 • a b =

A: The formula for the dot product is : a⋅b = ∣a∣ ∣b∣ cos(θ)a⋅b  = 5* 4 *cos(π/8)a⋅b   = 18.4776…

Q: The world’s total consumption of natural gas was 1824 million tons oil equivalent (mtoe) in 1994.…

A: ### ConclusionHence, the natural gas reserves would have lasted for approximately 44 years under the…

Q: Use implicit differentiation to find Əz/ǝx and Əz/ǝy. x8+ y + z³ = 8xyz дх 88 || მ მყ ||

A: The required answer is given below.Explanation:

Q: Find the derivative of the function. x+2x-2 y= x-2x+2 OA. y=. OB. y'. O c. y=. 4x-8x (x²-2x+2)² OD.…

A:

Q: Find an equation of the tangent line at x = a. 2 y=x-xia=2

A: y=x−x2;a=2Using the power ruleddxxn=nxn−1

Q: Find the curvature of y =sin(3x) at x =

A: Curvature is the measure of how much a curve curves at each point on the curve. It is defined as the…

Q: The diagram below shows a right triangle that has side lengths of 6.03 and 2.91 cm and interior…

A: We need to find the angle in radians and degree.

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​&lt;z&lt;2π​Explanation:Step…

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: The arc length = 8.352 unitExplanation:

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: e problem below. In (10x4) 4x y' = y(1) = 0 arithmic functions in parentheses.

A: To solve the following initial value problem.

Q: Evaluate the double integral by first identifying it as the volume of a solid. 3 dA, R = {(x, y) |…

A:

Q: Let 4xyz = e². Əz Əz Use partial derivatives to calculate and მე მყ and enter your answers as…

A:

Q: 5. The dot product of any two of the vectors i,j,k is 6. If two vectors are parallel then their dot…

A: Dear learner, as per our guidelines I can solve only three subparts of a problem.further can be…

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: Prove that 3 is prime.

A:

Q: Find the EXACT value of the area of the surface obtained by rotating y = x³, for 0≤ x ≤ 2 about the…

A:

Q: The height of a cylinder is increasing at a constant rate of 8 centimeters per minute, and the…

A: The height of cylinder is increasing at a constant rate of 8cm/minVolume is increasing at a rato of…

Q: Suppose for a particular commodity, & = 1.7 and that currently 70,000 units are selling for $16…

A: A 1% increase in price decreases the total revenue by $8,030.40.Explanation:Given:Price per unit =…

Q: | Suppose f (x, y) = 2x² + 1xy − 2y², P = (2, −1), and u = A. Compute the gradient of f. 15 ( 17,…

A: Therefore, the required answers are a) The gradient is (4x+y)i+(x-4y)jb) gradient at the point…

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

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

Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: The area of the surface generated by revolving the curve y = \sqrt{49 - x^2} about the x-axis from x…

Q: Suppose according to a large research poll in a certain year, 59% of respondents agreed that the…

A: a. To find the probability that a respondent agreed with both statements, we can use the formula for…

Q: Use the word bank below to fill in each label. 31/2 512 #Amplitude :: Midline :: Period :: Maximum…

A: By using the given words to fill in the blanks in each label.

Q: 3. (7 pts) Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show…

A: The objective of this question is to find the exact coordinates of the centroid of the region…