2+ x Let g(x) = 4 – x – 2x² and h(x) = 3 Find the following compositions (you do not need to simplify your final answers): (a) (h o g)(x) (b) (go h)(x)

Q: x-2y-10z = -20 2x -5y - 6z =-15 x+3y - 2z = 11 %3D %3D

A:

Q: determine whether the sequence are convergent or divergent

A:

Q: Compute cos x dx. Cos cos a +C 3 sin a +C 3 sin r cos x +C 3 cos a + sin x +C 3 sin r + 3.

A:

Q: Use the figure to find the exact value of the following trigonometric function. tan (20) tan (20) = ...

A:

Q: 7.In △ABC, A = 70◦, B = 12◦, b = 21.4, Calculate c to the nearest tenth.

A: We will use the Sine formula:

Q: The differential equations appear similar but have very different solutions. dy = x dx dy y dx Solve...

A: Given, We have to solve dydx =x           with initial condition    y3 = 3 and dydx =y         with ...

Q: Find the fifteenth term in the expansion of (x^2 - 1/x)^18

A: Given that, x2-1x18 We have to find the fifteenth term in the expansion of x2-1x18, By using, The ge...

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (I...

A: Consider the given function as ft=2t+3t Simplify as ft=2+3t

Q: Use implicit differentiation to find dy/dx. show all work cos xy+ x^7= y^7

A: The given function is: We will use implicit differentiation to find dy/dx.  

Q: Solve the following initial value problem. y(4) = - 2 sint+3cos t with y'''() = 8, y"(0) = - 3, y'(0...

A:

Q: I need help with this question.

A: Given,          The sum of two positive numbers is 16. And the smallest possible value of the sum   ...

Q: The half-life of Fermium-253 is 3 days. If a sample initially contains 100 mg, how many milligrams w...

A: Half-life Formula: Where,  N(t) = amount left after time t                N0 = Initial amount      ...

Q: Please solve it urgently. Thank you.

A: To minimise the cost, the dimensions are to be computed. we have,Area = xy = 16000now,Length of fenc...

Q: 11. Graph the function, and determine the amplitude, period, and phase shift:                       ...

A:

Q: 9.In △ABC, a = 15, B = 62◦, and c = 7. Calculate ŁC to the nearest tenths.

A:

Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides, dxdθ=9secθtanθdx...

Q: Let a>o be a Fixed real num ber. Evaluate: lim X-> a X - a ln Că).

A: limx→axx-a-1lnxa    

Q: y'''-y'=sin3x (using variation of parameters)

A:

Q: Vhen the price of a certain commodity is p dollars per unit, consumers demand x hundred units of the...

A: Given, Price demand equation 75x2 + 17p2 = 5300 when  p = 7  then dpdt =- 0.75 cents per month  We h...

Q: Find the area of the region between the curve and the x-axis. In 3 f(x) = e 2X - 3 from 0 to 2 The a...

A:

Q: at a certain instant, the dimensions of a rectangle are 8 and 12 feet and they are inreasing at the ...

A:

Q: Find the linearization L(x) of f(x) at x=a f(x)= x+1/x a=3 show all work

A:

Q: Ex w! 7 5x - 5 XS -

A: Evaluate the following limit.

Q: Find a formula for df 1 dx for the function below using the Derivative Rule for Inverses. f(x) = (5 ...

A: Given,         fx=5-3x3We know that,           The Derivative Rule for inverses is given by         ...

Q: Find fx and fy of the given function. f(x,y) = x' sin¯'(e* + y)|

A: The given function is, fx,y=xysin-1ex+y. Take u=ex+y. Then ∂u∂x=ex  and ∂u∂y=1. Thus, the function b...

Q: Test the series are convergent or divergent

A: Answer and explanation is given below

Q: Calculus Question

A:

Q: 3 (a)Complete the square to write the equation of the sphere in standard form. Find the center and r...

A: As you does not specify particular question and provided multiple question so I am providing Answer ...

Q: 13.For each of the following, draw the reference angle and find the exact function value:           ...

A: Given  cos ( 495◦)          

Q: 2. (a) Find the vector projection of u onto v (b) Find the scalar projection of u onto v u =

A: Consider the following vectors: u→=6i^+7j^v→=i^+4j^ u→·v→=6i^+7j^·i^+4j^=6×1+7×4=6+28=34 v→=12+42=1+...

Q: I need help with this question.

A:

Q: Use the reduction formulas from problem #2, to integrate the following: a) | cos* (3x) dx

A:

Q: Write the following expression as the sine, cosine, or tangent of a double-angle. Then find the exac...

A:

Q: Can you help me graph this?

A: The function f(x)=-3xx2-25. We have to graph this function and show the domain, all asymptotes, inte...

Q: A.) list all possible rational zeros of F B.) use synthetic division to write F in completely facto...

A:

Q: Please show all work

A: Formulae used: 1-sin2x=cosx ddxsinx=cosx ddxsin2x=2sinxcosx

Q: Use the definition of a Derivative to show that the function is not differentiable at x = 1. Why is ...

A:

Q: cos ydy sin2y+5sny+6

A: To evaluate: ∫0π2cosysin2y+5siny+6dy Solution: Let substitute t=siny dtdy=cosydt=cosy dy Limit will ...

Q: Two radio signaling stations A and B lie on an east-west line, with A 100miles west of B. A plane is...

A: Given that Two radio signaling stations A and B lie on an east-west line, with A 100 miles west of B...

Q: Find all the points of intersection of the curves r=cos3θ and r=sin3θ.

A:

Q: Find the area of the largest circle which can be cut from a square of edge 5in. What is the area of ...

A: The largest circle that fits in a square has the diameter = the side of the square.  Given that eac...

Q: Find the angles on the given curve where the tangent line is horizontal. r = 2 + sin θ

A:

Q: Use logarithmic differentiation to find the derivative of y. 2 3 (3x + 1)(x +2) y 3D (x4 + 5)(x+7) (...

A: Given: y=3x+1x+22x4+5x+73 for finding derivative of given expression, first we take log both side th...

Q: Consider the Sequence below i- = 7 For n22 An = 2 anat Apaz Obtain the gene rating function 'F" for ...

A: Let F(x)=∑n=0∞an·xn So, we have F(x)=a0+a1·x +∑n=2∞an·xn      =5 +7x +∑n=2∞(2an-1-an-2)xn      =5 +7...

Q: To solve for the value of the dependent variable W,  an equation is provided : W= QR - RC + R2 + 100...

A: W=QR-RC+R2+1002Q=1R-1+hC=lna-R3lna-h=0h=lna (1) Substitute the above provided equation into equation...

Q: Find the radius of convergence and interval of convergence.

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.