dx Find for the following function. 3at? y= |+t5 3at X =

Q: Given the function y=3√x. Find d2y.

A: Given

Q: x = t3 − 12t,    y = t2 − 2 find d2y dx2 and for which values of t is the curve concave…

A: We find dx/dt and dy/dt.

Q: Q4) f(x, y) = x"/s –x/ay² Does the function is harmonic ?

A: If a function satisfied Laplace equation then the function is called harmonic function

Q: Where is f(x) = differentiable? %D

A: The objective is to check where f(x) is differentiable.

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y =

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: For the function f (t) = 3t4 – t, the average rate of change in f from t = -1 to t = 3 is %3D…

A: The average rate of change of a function f  on the interval a,b is defined as fb-fab-a. Here,…

Q: Find dy for the following functions. y=6x2

A: We have the given function as   y=6x2 We have to differentiate it

Q: Differentiate the following function. r(t) = (4t,8/i,

A: We have to find derivative

Q: Q2/ Find ft) for cach of the following functions 768 a- F(s) = %3D (s2 +8s+15)2

A: Since you have asked more than one question, we will solve first one for you. If you want other…

Q: d*y 4. Find 5 of the function f (x) = - e dz"

A:

Q: Does the function I(x. y) is harmonic ? Q5) Evaluate: So So x+1) dzdydx

A:

Q: A ball is thrown in the air and follows the displacement function s(t) = -t² + 2t + 15 S where time…

A: A ball is thrown in the air and follows the displacement functions(t)=-t2+2t+15where t is in seconds…

Q: The altitude (in feet) of a rocket t sec into flight is given by the following function. s = f(t) =…

A:

Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: use the position function s(t) = −4.9t 2 + 250, which gives the height (in meters) of an object that…

A: Velocity is a vector quantity, which is defined as the rate of change of displacement with respect…

Q: Assuming 0 < c < d, find the value of b (in terms of c and d ) for the function given

A: given: 0<c<d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: The average velocity of the object over [1, 7] is computed as follows.

Q: For the function y = f(x) = x² − x + 5, x ≥ 0.5, find (ƒ˜¹)'(7) = dy y=7

A:

Q: df f(x) = x² + 4x – 5, x > – 2, find dy For the function y = y=11 (f-1)'(11) = Preview

A: Subtract y. Then try to solve for x using quadratic formula.

Q: Plot the following functions over the interval 0<x<4 in the same a) x3 plot: b) e* c) ex2

A:

Q: Find d2y/dx2 for the following function. y=e7x^2

A:

Q: For each of the following functions, find dy and evaluate when x = 2 and dx = 0.2 a. y = xe1-2x b. y…

A: Part(a) We have y=xe1-2x First, we find dydx We can use the product rule of derivatives, which is:…

Q: alculate L6 for f(x) = v5x + 2 over [1,3]. Give your answer to three decimal places.)

A:

Q: For the following functions, find the extremal values: (a) f(r, y) = 2r3 + xy? + 5a? + y?

A: Given Data: Function: f(x, y)=2x3+xy2+5x2+y2 The derivative of the function with respect to x is,…

Q: 2. (x? + 2ху — 4у?)dx — (x? — 8ху — 4у?)dy %3D0 -

A:

Q: For the function y df-1 f(x) = a? – x + 2, x > 0.5, find dy y=10 (f-1)'(10).

A:

Q: Find the function f(x) that satisfies the given conditions. df 55xy11x? + 4; f(0) = 9 dx Answer f(x)…

A: Given the differential equation and f(0)=9 And we have to find f(x)

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js -0.15 A) 0.15 B) C) - 0.8 0.8…

A: We will find out the required value.

Q: Differentiate the following function. y =x(x5 +9) 3 dx

A: We have to find derivative

Q: Find dx for the functionf (x) = /cosh(x+ 8) T5. Select the correct answer. |

A: We will apply the power rule and the chain rule.…

Q: For the function f(x,y) = e9xy, find fx and fy. fx = ? fy = ?

A:

Q: df For the function y = f(x) = x² – 3x – 3, x > 1.5, find dy y=12 (f-1)'(12) =

A: Given  y=fx=x2-3x-3; x≥1.5

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Differentiate the function with respect to the independent variable. f(s) = s° e4 +3e f'(s) =D

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t.…

Q: Use the position function  s(t) = −16t2 + 500,  which gives the height (in feet) of an object that…

A:

Q: Q:A- Find for the following functions: - 1+x* 1- 1+secy

A: Given: xy21+secy=1+x4 For finding dydx, we simplify given expression then differentiate it

Q: dy Q5: - Find for the following functions: dx 1) y = 3x? – 2Vx+ 2) y = (x – 3)(1 – x) 3) y =-t +

A: In the following steps we can find out the derivative of the function with respect to x

Q: Differentiate the following function. r(t) = (e',7e -1, -9e4) r'(1) = (OOD

A: Derivative

Q: O:A- Find for the following functions: - 1 . 1+secy =1+x* 2- If y =1 and t = v2x +1

A: Given  1) The equation is  xy21+sec y=1+x4

Q: Consider the following function. f(x, y) = 2a?y + 3xy – 2yt

A:

Q: The surface area S (in square meters) of a hot-air balloon is given by S(r) = 4tr where r is the…

A: find the surface area S of the balloon as a function of the time t.

Q: dy of the following functions. [ dr A5) Find (c) y = cot (v7– 2²),

A: see below the answer

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given g(t)=lnt(t2+1)42t-15

Q: For the function y = x² + 2x, the value of dy when x=3 and dx=0.1 is (А) 0.15 B - 0.8 -0.15 D 0.8

A: The given function y=x2+2x  ;  x=3 and dx=0.1

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: Q4) r(x,y) = x'/s – ½y? is harmonic ? Does the function %3D

A: The given function isf(x, y)=x13-19x-53y2to check the function is harmonic?

Q: Pi/ Find for the following functions + tanpey) =0 2 y = ond t = /4x +1

A:

Q: Differentiate the following function. r(t) = (4t %3D

A: We have to find out derivative of given functions

Q: Find for the following functions: dx 2x2 + 3x y) + (x-y)-x +y

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…