The one-to-one functions g and h are defined as follows. g (x) = 3x+13 h= {(-8, -3), (-3, 2), (3, 0), (9, -6)} Find the following. 8() = 0 -1 h"(-3) = D

Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: region bounded by f(x) = 3- X, y = 0, and x = 1 is shown. /hat is the volume of the solid formed by…

A: Follow next step

Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

A:

Q: Solve the following differential equation using variation of parameter. 1 y" + 3y' + 2y 1+ et

A:

Q: Use the Product Rule to find the derivative of the function. g(x) = (x2 - 2x + 5)(x³ - 6) g'(x) =

A:

Q: 2x) dx Find an approximation to the integral using a Riemann sum with right endpoints and n = 8.

A:

Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict…

A:

Q: 1. Given z, = 5 cos 377 +i sin 37 and z2= 37 +i sin 2 find z,z2 where 0se< 2x. cos 2 2 37 +i sin 2…

A:

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A:

Q: 1 ut du. 8 13

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: 15.lf f(x)=Vx f(x)-f(16) The lim x→16 x-16

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: A detailed solution is given below

Q: II.IDENTIFICATION. Identify the terms being described by the following statements. Choose your…

A:

Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

Q: Identify the inside function, u = g(x), and the outside function, y = y = (x2 – 6x + 9)2 u = g(x) y…

A:

Q: Determine whether the following series converges or diverges. Σ 5n2 +5 n=1

A: We can solve the given problem as follows:

Q: Evaluate the solution of differential equation when y(0)=1 and y'(0)=D0. d?y dy-8y 0 %3D dt? dt

A:

Q: 4x? ds where Cis the portion of the curve y y° 1 =- from Evaluate the line integral (1,1) to (2,4).

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Given the function below find the value of f(-5). * [2x² + 1 if x -5 33 NONE OF THESE -78/25 O 51…

A:

Q: Use the formula k(t) : ||r(t) × r"(t|| to find k(t). r(t) = 11 cos(t)i+11 sin(t)j + 6tk K(t) =

A:

Q: 1. Consider the graph of the function f(x) = 1.a. Is the function f (x) continuous at x = 1? Justify…

A: We need to find if the function is continuous or not in given interval.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

A:

Q: Use the General Power Rule to find the derivative of the function. 4 g(x) (5x² + 3x)7

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) V…

A:

Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 6) %3D

A:

Q: dx xV2ax – x2 ах

A: This is a problem of integration. Based on the general formula we will solve the question.

Q: Solve the initial value problem 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. x² = y – In[y + 1] +…

A:

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Find the length of curve y In (secx) from x=0 to x=

A: See the answer below

Q: The radius of the circle 2x? + 2y? – 4 = 0 is equal to 2 units. O TRUE O FALSE

A:

Q: Find the area of the shaded region. Edit = Vco r = COs 20 r = 2 cos 0 NOTE: Enter the exact answer.…

A:

Q: Determine the integral of the ff. fun 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

A:

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1

Q: What can be concluded when integral test is applied to the following series? 1 (2n + 1)3 Select one:…

A: The given series is: ∑n=3∞1(2n+1)3 Let, an=1(2n+1)3, n≥3

Q: What is the differential equation of the given 1 parameter family of solutions?

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

A:

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We have to find the volume of the given region according to the given information

Q: Let f(r) = r³ – 3x² + 4. Using the Mean Value Theorem, determine the value of c € (0, 3) such that…

A: A detailed solution is given below.

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A:

Q: Choose which of the following is the EXACT value for the area bounded by y = e" and y = -e' on the…

A: The region is bounded by y=ex and y=-e-x on the interval 1≤x≤2

Q: Eliminate B and a from the relation. x = B cos(mt + a) *+ 2wx = 0 O * + w?x = 0

A:

Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Answer is in below steps.

Q: sequential convergence Lim 3-8n h-oo n+2

A:

Q: Find the radius of convergence, R, of the series. (x + 6)" 6" n = 1 R = Find the interval, I, of…

A: Consider the power series           ∑n=1 ∞ an(x-a)n then , series convergent if x-a&lt;R , where , R…