x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v orth...

A:

Q: If 5æ? + 3x + xy = 1 and y(1) = -7, find y'(1) by implicit differentiation. y(1) =

A:

Q: tude of 76. t shershec imber.

A: answer of given question is in step 2

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

A:

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: Select ALL possible answers if there is more than one. * ifr<! 16 1 Let f(x)= 3 . If f(x) is continu...

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A:

Q: DO NOT include spaces in between characters. * 7 Given y=(3x +6)| 2x– Find the value y' at x = 4

A: Given:       y=3x2+62x-14 Differentiating on both sides with respect to x.      y'=ddx3x2+62x-14 App...

Q: ind f−1(x) for f(x)=9+12x.   Enter the exact answer. Enclose numerators and denominators in paren...

A: Given that fx=9+12xTo find : f-1xSolution :if we find inverse of function of y= fx then interchange ...

Q: Use the limit definition in finding/showing what is asked. 1. Find an equation of the line tangent t...

A:

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 16j as ...

A: Given,            The adjacent sides are i+j and i-16j.To find : Find the lengths of the diagonals o...

Q: Select the basic integration formula you can use to find the indefinite integral. dt du 이 du a" du d...

A: We have to select integration formula for given integration.

Q: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of...

Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) = %3D %3D %3D

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: Vectors with opposite directions have 180° angle between them.x and y components have opposite signs...

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

A:

Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

A:

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

A:

Q: 2- Prove that: Jzt=27 dz %3D 2in. Whot is the princinle nart for f(z) = ze %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: The diagonal of a cube can be derived by Pythagorean Theorem using the diagonal of a square and the ...

A:

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1, ...

A:

Q: The area which is inside the circle r = 8 cos 0 and outside the circle r = 2 cos 0. %3D

A:

Q: Consider the following function. (x) = x5 + 4x³) Find f'(x). f'(x) = Does f have an inverse function...

A: Given that f(x) = 1/8 (x5 +4x3)

Q: 1. Find dy/dx if cos 4y+ysin x =3 2. Use implicit differentiation to find the slope of the tangent l...

A:

Q: Tim Vaxi+ x

A: We have to evaluate  limx→-3 2x4+x2.

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 = ...

A:

Q: 2. f (x) 3 - 2x² if xくQ こ 2 メ if x 2 2

A: f(x)= x3-2x2 ; x&lt;22-x ; x≥2       a=2 , if f is differentiable , then f'(2) should be finiteusing...

Q: B. Directions: Using special functions, evaluate the following:

A: Question 1,Given,           limx→0sinlnx5lnx

Q: DO NOT include spaces in between characters. * x² - 4 if x< 2 Determine ff(2) if f(x)={2-xr if 2<x<4...

A: Given: f+'(2)=limh→0+f(2+h)-f(2)h       =limh→0+2-(2+h)-0h       =limh→0+-hh       =-1

Q: 1- cos?t lim t-0 t

A:

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

A:

Q: Write an equivalent first-order differential equation and initial condition for y. y= -1+ ](5t - 3y(...

A:

Q: 9. The radius of a large balloon is increasing at a rate of 2 inches per second. How fast, in cubic ...

A:

Q: Evaluate f ( + 3) dt

A:

Q: -3x Evaluate (x" x" +T) dx Answer: Submit Answer

A: Given: I=∫xπ+π3xdx   We know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+...

Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

A:

Q: 9. xy' + y = /x 10. y' + y = sin(e*)

A:

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)², and passing throu...

A: slope m at (2,1)  m = 2(2+5)2 m = 2*49 m = 98 so line equation y - y0 = m(x - x0 ) y -1 = 98(x - 2) ...

Q: The resale value R (m dollars) of a particular type of laser cutting tool t years after its initial ...

A:

Q: Find the critical numbers, if any, of the function f(x) = 3x5 - 25x3 + 60x + 15 and then use a Maple...

A:

Q: (a) Find the differential dy of y = e#/5. (b) Evaluate dy for a = 0, dx = .1. (a) dy = dx (b) dy =

A: Solved below

Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: Find the derivative of g(x)= using the limit definition

A: Solution:we have use formula g'x=limh→0gx+h-gxhgx=1x-1g'x=limh→0gx+h-gxhg'x=limh→01x+h-1-1x-1h=limh→...

Q: For the demand function q = D(p) = 323 - p, find the following. a) The elasticity b) The elasticity ...

A:

Q: Let a = ci + jand b = 20i + 21j. Find c so that the angle between a and bis Round your answers to fo...

A:

Q: A Given yesin (ITX2)= InGe) XyZ of Find Zx and Zy.

A:

Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Prove that lim (9x* - 25) = -9

A:

Q: 2X + 3. lim x→2 X –3 f(x) f(x)

A: Given function f(x)=2x+1x-3we can can find the values around 2 to find the limit at x=2