tive of inction inner function (2x) Derivative of Diff

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

A: Gradient of w=xtany+z at 12, 13, -11

Q: 1.) Use the graph of f(x) below to evaluate the following: a.) f(3) = b.) lim f(x)= ind 3? d.) lim…

A:

Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 12…

A:

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A:

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

A:

Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: In cylinder shell, volume dV = 2πf(x) x dx

Q: 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 + + .. O converges O…

A: We have to determine the give series is convergence or divergence

Q: Use the Comparison Test to determine whether the series is convergent or divergent. L n4/5 n- 2 1…

A: P-Test: The series ∑n=1∞1np converges iff p>1 and diverges iff p≤1 Comparison Test: Let ∑n=1∞un ,…

Q: A = 13 ;Prove A2 - 5A = 21

A:

Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

Q: Evaluate the integral 4 3x dx

A:

Q: 4. Let f, g be the functions R → R given by 5- 3r if r 1, { if z 5 f(z) = { g(1) = For each of these…

A:

Q: Vx + 2 – 2 Evaluate the limit lim x→2 x2 – 4

A: We can evaluate the limit in the following steps.

Q: A particle travels along the x-axis such that its position is given by a(t) = (t0.9 – 3t) cos (2t).…

A:

Q: Find the power Seriesr land determine the radius of convergence. f (x) = X representation for the…

A:

Q: 30 20 10 -10 - 6 4 -2 8 10 -10 -20 30 16

A:

Q: 1 0 0 A = -1 2 0 1 0

A:

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) r cos(s) u du = ds J

A:

Q: The function z is defined by z(x, y) = x y-3 y Find A z and dz when x= 3, y= 5, Ax = - 0.04 and A y…

A:

Q: IV. In each of the following, evaluate | F(t) dt: 4 1. T(t) = 7(t : 1+t î – e-2 ĵ– te' k ; a = 0 and…

A: According to company rule we can answer only first question and rest can be reposted.

Q: nd the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) W12, 13, -11)…

A:

Q: 4. The last major earthquake in the Bay Area was in 1989 and measured 6.9 on the Richter scale…

A:

Q: Find the slopes of the curve y = y - x at the two points The slope of the curve y" = y -x at the…

A: topic - slope of a function

Q: Find the surface area generated by rotating the given curve about the y-axis. x = 3t2, y = 2t3,…

A:

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: company produces a spherical object of radius 23 centimeters. A hole of radius 5 centimeters if…

A: We

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A:

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

A:

Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) 2- 2 4…

A: As per the instruction, we will be answering only the first three subparts. Given the graph of f:…

Q: てキ

A:

Q: Determine whether or not the improper integral is convergent, and find its exact value if it is…

A:

Q: Consider the function below. (x) = -2x² + 4x + 5 (a) Find the critical numbers of f. (Enter your…

A: Given: For (a), f'(x)=-2x2+4x+5' =-4x+4 So, the critical number is f'(x)=0⇒-4x+4=0⇒x=1. Graph: For…

Q: EXERCISES 4:Find the tangent line at the given point 1. Xy = -4, (2, -2) x? - xy + y? = 7, (-1,2)…

A: 1) xy=-4Differentiate w.r.t xxy'+y=-4Substitute (x,y)=(2,-2)(2)y'-2=-42y'=-2y'=-1Slope of tangent…

Q: Find the limit. - V1+x? lim 3x2

A: This is a problem related to limit of the function. Based on using L'Hospital rule we will evaluate…

Q: Show that the production function f(x) = - () x³ + 10x² + 5x, –∞<x<∞ has both a concave and convex…

A: Second derivative shows the concavity of any curve.

Q: Consider the the curve y =(6x + 5)V6x + 5 from x =5 to x 11 a) Find the initial and terminal points:…

A: Consider the curve y=6x+56x+5 from x=5 to x=11.a To find the initial and terminal points.b To find…

Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: Let's find.

Q: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated…

A: Given the quadratic equation is 32x2 - 6x + 9 = 0

Q: A conical vessel has a height of 24 cm. and a base diameter of 12 cm. It holds water to a depth of…

A: To find out the volume of water.

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

A:

Q: A population P obeys the logistic model. It satisfies the equation dP 2 P(13 – P) for P > 0. 1300 dt…

A:

Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

A:

Q: Find the first derivative of the following function: 1. y = sin (2x) - cos (2x)

A:

Q: Find functions f (x) and g(x) (either graph or explicit formula) that satisfy both of the following…

A:

Q: dy (t2 – 26t + 120) = y dt

A:

Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

A:

Q: Simplified 7^ a+2 -8(7^ a+1 )+5(7^ a )+49(7^ a-2 )

A:

Q: Which of the following is equal to ſ e®dt? А. ее В. ее + С С. ееx + С D. eet + C

A: