Directions: In implicit differentiation, we differentiate each side of an equation with wo variables (usually xxx and yyy) by treating one of the variables as a function of the other. This- calls for using the chain rule. 2x³y+ 3xy³ = 5 %3D 9. 10. x = sin (x + y)

Q: 1. The hiking trail starts at the foot of a steep hill that follows a trajectory described by the…

A: Find your answer below

Q: Derive the derivative function for secx and express your answer in product form.

A:

Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: For 4. Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

A: see below the answer and explanation

Q: Test to find the radius of convergence notation and fractions where needed. 10

A:

Q: Directions: In implicit differentiation, we differentiate each side of an equatiom wariables…

A: Topic:- function and it's Derivatives

Q: ) y^2=(x^2 - 9)/(x - 4) b) y^2= (x^2 + 2x)/ x-1 find the x and y intercept, symmetry,…

A: Given

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

A:

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 a. Find all critical…

A:

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: Answer the following True or False. dt sec 't |', \_ 1 = 27. |t|VE2 - 1 O True O False

A: sec-11=0 and sec-1(-1)=π

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: y²dy Vy2+4 3.

A:

Q: How 2 Find the absalute maxima and minima for the funchion 3 2. f(x,y) 48xy -32 x-2u yen the…

A: since f(x, y) is a polynomial, it is continuous overthe given rectangular region D.So, f(x, y) has…

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 1.Find intervals for…

A:

Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: dy Solve the following differential equation: x+ y = 4x dx

A:

Q: t2 y = t 5. x = t-1 t2-1

A: second derivative

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A:

Q: A plane traveling with a velocity measured in meters per second, is described by vector a = (-6,5) .…

A: Let's find.

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2…

A:

Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

A:

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

A:

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: Exact Equation Solution of (2xy -tany) dx + (x^2 - xsec^2 y) dy =0 Answer: x^2y−xtany=c

A:

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

A:

Q: Evaluate the directional derivative Duf (2, 3) if ƒ (x, y) = and u is the unit vector in the same…

A: Given problem:- Evaluate the directional derivative Duf(2, 3) if f(x, y) = x/(x2 - y) and u is the…

Q: Question 13 4x-7x+31x-38 (x+4)(x+2) fraction? dx is equivalent to which of the following integrals…

A:

Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: 12x3 00 Find the power series for f(x) = in the form > an. (1 – x+)² n=1 Hint: First, find the power…

A:

Q: dy If y2=2x+3y dx find then use it to find the tangent line to the curve at the point (3,2) For the…

A: Solution is given below:

Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

A:

Q: After substitution is performed, what is equivalent to /, x sin x² dx , 3 sin u du 8 sin u Li du 3 L…

A: solution is given below

Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

A:

Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A:

Q: Find minima, bmakima and Snddte paints for the functions foxy) =9x+ -4 xy 3

A: Note: As per our guidelines we only solve one question and rest of the question will be reposted.…

Q: 3- 4- f Cx,y) = 2 Lux +Lny-4X-y

A:

Q: Let Z1 -2V3 – 2i and z2 = -1 + iV3 • Z2 Find the product: z1 • Z2

A: To find the product of the given complex numbers.

Q: The width of a rectangle is increasing at a rate of 5 cm/sec, while the length increases at 6…

A:

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

A:

Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

A:

Q: A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating…

A: