Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

Q: 11 Consider g(y) = -6y + -3² + Determine the intervals on which g is concave down. g is concave down…

A: Given,  .For inflection values put g'(y)=0If g''(y)>0, than concave up.If g''(y)<0, than…

Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

A:

Q: Consider the following parametric curve. x = et - 4t, y = y = 8et/2, 0≤t≤ 2

A: x=et−4t,y=8et/2,0≤t≤2

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

A:

Q: xª−12x³+36x² X-6 x4+x³-42x 2) lim ||

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the maximum and minimum values of the function y = 8√√x² + 1 - x on the interval [0, 3]. (Round…

A:

Q: Sketch the region of integration of 2 So Soft + S₁² √ √² Then evaluate the integral by first…

A:

Q: Use Substitution method 4x - 3y = 5 x + 2y = 4

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: th A formula is given below for the n term an of a sequence {a}. Find the values of A₁, A2, A3, and…

A: A formula is given below for the nth term  of a sequence .To find the values of .

Q: Use the parametric curve, and given value for the parameter, to answer the following question. Use…

A:

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: If the governing equation is do + 1 = g(t), what is the solution g 20 dť² when g(6)=0 and when g(t)…

A:

Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. f(x) = 5x²…

A: Remainder Theorem:If a polynomial p(x) is divided by the binomial x−a,the remainder obtained is…

Q: Let g(t)= t - sin (t). (a) Plot the graph of g.

A:

Q: If a 4th order linear differential equation is such that the corresponding characteristic equation…

A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: Solve. X-4 7x + 5

A:

Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)

Q: dy d²y Find and dx dx² x = t² + 2, y = t² + 3t dy dx d²y dx² For which values of t is the curve…

A:

Q: Find form. (x + y) dydx. Write your answer in exact từ da l 2 6 6

A:

Q: Use logarithmic differentiation to find the derivative of the function. y = (tan x)8/x 8 -tan(x) tan…

A:

Q: Evaluate the indefinite integral Ото +C x16 (49 - x2) 19/2 J dx

A:

Q: Use the critical value method to solve the rational inequality. Write the solution set in interval…

A: Given rational inequation

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

A:

Q: 2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence.…

A:

Q: Roberto has plans to build a tree house in his backyard. He takes measurements from the ground and…

A: Here,

Q: Let h(v) = 4v v² +6

A: h(v)=4vv2+6

Q: Find derivative of the following function. e³x + e-3x dy dx y = || X

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

A:

Q: State the Chain Rule, then Let C(x) = f(g(x)). Find C'(1) using the table ow all steps. x f(x) g(x)…

A:

Q: Solve the following homogeneous differential equations a. y"-4y'+4y= 0 b. 4y"+²y = 0, y(0) = 2,…

A:

Q: Write out the form of the partial fraction decomposition of the function appearing in the integral:…

A:

Q: The given curve is rotated about the y-axis. Set up, but do not evaluate, an integral for the area…

A: The given curve equation is  ,

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 3 x intercepts…

A: Given, vertical asymptotes at x=-2 and x= 3.Given, x intercepts at x=4 and x= 6.Given, horizontal…

Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

A:

Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

A:

Q: .SS. Write an iterated integral for dA over the region R described to the right R using a. vertical…

A:

Q: The line given by the parametric equations x= 3+2t, y=4-t, z=1 + 3t passes through the point (11, 8,…

A:

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given:The position vector r(t) =

Q: Differentiate the following: a) y=-x²+x-5 (b) y = 10 + 2 3 (c) y = 2√x - X

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: 0 1 3 2 X f(x) f'(x) -2 -1 2 N 2 133 When x = 0 then D 1 255 324 X 0 3 g(x) 1 2 g'(x) 2 3 -2 0 g(x)…

A:

Q: f(x) = 3x5 — 25x³ + 60x on [−2, 3]

A: f(x)=3x5−25x3+60x on [−2,3]

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: x=tcos⁡(t),y=t−6sin⁡(t),

Q: Find the ² points on the curve y = (x − 1)(x² −4) where the tangent line is parallel to y = −4x.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the derivative of the following function. f(x) = 2x sinh − 1x − 2/x+1 f'(x)= 2 arcsinh(x)

A:

Q: Calculate the derivative of y with respect to x, if x³/² + y-5/2 = 7. dy dx

A: Given equation, .derivative rules:

Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

A:

Q: 1+x² What is the slope of the tangent to the curve y-- 2x when x = 3?

A: y=1+x22x

Q: Find the exact length of the curve. x = et t₁ y = 4et/2, 0≤t≤4

A: Given, .Formula for length of curve is,

Q: find maximum rate of change of f(x,y)=x sin(y) @ the point (2,0)

A: To find the maximum rate of change of at the point .