St-100 dt zª+z³-z' dz 23

Q: If x2 + y2 = 100 and dy/dt = 8, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Consider the given: x2+y2=100 Differentiate w.r.t. "t",…

Q: Evaluate the integrals

A: Given that, Evaluate an integral vector function by evaluating the integration of each component of…

Q: Find dy/dt and d^2y/dt^2 for function aln(y)+b cos^2(ty)=2t^3 where a  and b are certain constants.

A: Derivative two times simultaneously and use the forma for derivative

Q: Find the function "y" that makes the integral stationary V1+y²y2

A: Please check step 2 for solution

Q: Compute the following derivative. [P(i+5j-5tk) (e'i + 5 e'j-3e -k)] dt [P(i+5j-5tk) (e'i+ 5…

A:

Q: Suppose y = (x + 1)5, and both a and y are functions of t. If. dy :1, find dt dx when x = = 1. |3D…

A: Given data:   The given function is y=(x+1)5. The first value given is dy/dt=1. The given value of x…

Q: Find the particular antiderivative that satisfies the following conditions: dz 8e* – 3; (0) = 8. dt

A:

Q: Compute the following derivative. d (i + 2j - 2tk) • (e'i+2 e'j- 4 e -'k)] dt (i+2j- 2tk) • (e'i+2…

A:

Q: Find dw/dt at the given value for the following functions dw Ans. dt 1) w=x+y, x=cos(t), y sin(t),…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find dw/ dt at the given value for the following functions dw dt 1) w= x + y°, x= cos(t), y= sin(t),…

A:

Q: Find the particular antiderivative that satisfies the following conditions: dx/dt=8e^t−7;…

A:

Q: dz dS 2 If S = z3 and -2 when z = 3, find dt dt

A: Derivative

Q: dy – 5x-2+ 2x-1 – 6; y(1) =7. dx |

A:

Q: Assume w = x2y4, where x and y are functions of t. Find dw>dt when x = 3, dx>dt = 2, dy>dt…

A: Given:  w = x2y4, x and y are functions of t  To Find: dw/dt when x = 3, dx/dt = 2, dy/dt = 4, y = 1

Q: Find the particular antiderivative that satisfies the following conditions: dr 2e – 4; r(0) = 8. dt

A: Given: dxdt = 2et-4;  x(0) =8 To find: Value of x

Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 6, find dt dy when x = 4. dt (a) If dy…

A: Given y=2x+1 dydx=dydtdxdt

Q: Find the total differential of the function. 4y f(x, y) 5x - y df =|

A:

Q: dy da at z = – 5 if y = 3x° + 3x and dt = - 1. dt Find - dy dt Submit Question P Type here to search

A: Differentiate wrt  t

Q: Find  dy/dt  using the given values. y = x3 − 9X for x = 3,   dx/dt = 2. dy dt =

A:

Q: |P(Vi + VE – t) dt

A:

Q: If F(t) d [F(t*)] is equal to is an antiderivative of f(t), then dt

A:

Q: Q5. If W = x² y + 2xyz , x = t², y = t + 1, z = 2t at t = 1. Find the total differential

A: Let's find.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: To find the antiderivative of the below derivative

Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

Q: Find dw/dt at t 1 if w xe + ysinz - cosz, r ! = 2/t, y = t – 1 and z = nt.

A: v

Q: Find the differential of each function. (a) y = etan(nt) dy = (b) y = V4 + In(z) dy =

A:

Q: Find the Particular antiderivative that satisfies the following conditions:   dM/dt= ((5t^2)-8)/t^2;…

A:

Q: Evaluate dw/dt at t=9 for the function ​w(x,y)=ey−ln x​;  x=t2​, y=ln t. Options are: 1) 7 2)…

A: Given query is to find indicated derivative.

Q: If x2 + y2 = z2, find dy/dt when x = 3, y = 4, dx/dt = 2, and dz/dt = 2. (Enter your answers as a…

A:

Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x =…

A:

Q: Find the differential of each function. (a) y = etan(rt) dy = (b) y = V2 + In(z) dy =

A:

Q: | Calculate the following antiderivatives: / 6r – 2° + 7 dt = [T (a) +C. (b) ul/4 1 + 6yū du = +C. 1…

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

Q: If x2 + y2 = z2, find dy/dt when x = 3, y = 4, dx/dt = 6, and dz/dt = 6.  (Enter your answers as a…

A: We would differentiate the given expression implicitly w.r.t. t, ........................(1)

Q: Find dy/dt if y is as follows. t2 + 4 y = In 7 - t dy dt II

A: We use logarithmic properties to simplify the given function and use chain rule to solve this…

Q: Find the integrating factor of the given Non-Exact DE y (4x + y) dæ – 2 (x² – y) dy = 0

A:

Q: Assume x and y are functions of t. Evaluate dy / dt for the following. y3 = 2x 4 + 6 ;        dx /…

A:

Q: Find dy/dt using the given values. y = x - 3x for x = 4, dx/dt = 4. dy dt

A:

Q: Find given that dt x² + y² = 2x+4y, x = 3 y = 1, and dy dt i dx dt

A: SOLUTION-

Q: dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

A:

Q: Find the differential of each function. (a) y = etan(t) dy = || (b) y = V1 + In(z) dy =

A:

Q: Find the specific antiderivative that satisfies the following conditions: dy = 3x dx -2 + 6x - 7;…

A: Given Data: Differential equation: dydx=3x-2+6x-1-7 ......(1) Condition: y(1)=8   The antiderivative…

Q: assume x and y are functions of t.  Evaluate dy/dt for the following: y3=2x4+6; dx/dt=2, x=1, y=2

A: The given function is  y3 = 2x4 + 6    ...... (1) dx/dt = 2, x = 1,   y = 2

Q: Find the particular antiderivative that satisfies the following conditions: dx = 5e' – 8; x(0) = 2.…

A:

Q: e) f1a* +4)*dt

A:

Q: Find the differential of the function, y = v1+x O 1) dy = Vx+1 O 2) dy = 2vx +1 O 3) dy = %3D 1 O 4)…

A:

Q: dr Suppose dx dt dy 4, = 3. Find given that r = dt dt x = 8 y = 2 Write your answer in exact form,…

A: Topic = Derivative

Q: Find h t Trans form of decivative for d²f and d' f dt3

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: Assume x and y are functions of t. Evaluate dy over dt for the following. y = 2x 2 + 6 ; dx over dt…

A: