Let h(x)=f(x)/g(x), where f(−3)=7,f′(−3)=−9,g(−3)=−2, and g′(−3)=1. What is h′(−3)?

Q: QUESTION 1 Suppose that z depends on variables r, s. and , andr, s, and I each depend on a variable ...

A:

Q: (x2-3)2 V4x+b simplify the first derivative. Show your work and justify your answer. 1-Determine the...

A:

Q: You are to draw two circles, centered at points C and D. Circle C is the smallest circle that is ext...

A: ANSWERS: equidistant from point A and B also equidistant from point A and B of intermediate locatio...

Q: Xcvb

A:

Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

A:

Q: Hw Find Land dw cosh (cot( 3- 4-ws

A: We know, ddx(xn)=nxn-1, n is any real number. ddx(cosh(x))=sinh(x) ddx(cotx)=-cosec2x

Q: Solve the equation e3z²–10z . e3z-3 = ez²-2

A:

Q: (a) The curve with equation y² = x³ + 3x2 is called the Tschirnhausen cubic. Find an equation of the...

A:

Q: You are familiar with the identity S(b) – f(a) = | f' (x) dx. (a) Assume that f has a continuous sec...

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

A:

Q: Find the equation of the plane through P(2, – 1,1) that is parallel to Il: 2x + 3y + z – 12 = 0. %3D

A:

Q: 9. An amount of $12, 000 is deposited in a bank that pays interest at a rate of 3.5%, compounded con...

A: Given :Total Deposited amount = $12,000Rate = 3.5%Time = 4 years

Q: Find the following limit value. Show all work and proper limit notation. 7 lim x-5 (x – 5)4

A:

Q: Find the area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the y-axis...

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

Q: What is the derivative of square root 2t?

A:

Q: 00 54. 3* k=1

A: Use ratio test

Q: Determine whether the sequence converges or diverges. If it converges, find its limit {2-(4/n)} Th...

A: See the details solution in below

Q: Given the combined differential operators for a given differential equation (D + 4)(D – 3) (D - 4) D...

A:

Q: Hw Find and dw we cosh' (cot( 4- Ws

A: Since you are asking multiple questions. We are answering only the first question as per our guideli...

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

A: Given:    x = 8     dx/dt = 1.3  Ladder length = 10

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A:

Q: Find the maximum of f(x, y) = 4y + 7xy – 4x? on the square domain 0 < x < 8, 0 < y < 8. (Give an exa...

A:

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 2860 –...

A:

Q: 8.4: 37 37. For which of the following series is the Ratio Test inconclusive (that is, it fails to g...

A: Given problem:-   

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: DIRECTION: Solve the following problems in neat and orderly

A:

Q: A rectangular box with an open top is to be made from a 16-inch by 21-inch piece of cardboard by rem...

A:

Q: valuate the integral. (Remember to use absolute values where appropriate. Use C for the cons x² – x ...

A:

Q: Vove erf C-∞)= -I or J edt=-1 STT

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: Find all local maxima, local minima, and saddle points for the function: f(x, y) = x – 6xy + 8y

A:

Q: f(cos*x- sin *xkx *a

A:

Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A:

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y ...

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope &amp; equation of tangent line.

Q: Consider the table showing past and projected federal revenue, spending, and GDP. All figures are in...

A:

Q: Give three points that are equivalent to the polar point (2, 45°). Write the three points in polar f...

A:

Q: Formula Answers du Inja - 6r+ 21+C 2 de Inlin al +C

A: We are authorized to solve only one question with 3 subparts, please repost remaining questions Inde...

Q: Solve: y''' – y'' – 21y' + 45y = 0 y(0) = – 2, y'(0) = 15, y"(0) = - 84 | y(t) = %D

A:

Q: Use the second derivative test (is possible) to find the relative extrema of f(x) = 3x^4 - 8x^3 + 6x...

A:

Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: Q3) If P(2,-2, 1) , Q(3,-1,2) and R( 3,-1,1) ノ の)ind the area of the triangle determined by the Poin...

A:

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff c...

A:

Q: Given the differential equation y" - 4y' + 13y = 8 e2* cos(3x) Determine the General Particular Solu...

A: Given differential equation, y''-4y'+13y=8e2xcos(3x)  

Q: *(+²–1) cos[cosh (In r")]dr 4.

A:

Q: Practice using gamma Provethat: こくご)よて %3D 15th)s(5+h)

A:

Q: 3. lim f(x) lim f(x) 4. lim f(x) lim f(x) = -2, = +0, x+3- = 2 and f(2) = 0 = -0O x-2+ x+3+

A: Let's find. 

Q: In +1 dx

A:

Q: A weather balloon is launched from an observation tower and heads due north. Its horizontal distance...

A:

Q: Calculate the derivative of the following functions. Use the rules for derivatives. 1) v(x)=log5 (x...

A: