12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin (2+ x2) D. x cos (2 + x) 13. Find the derivative of arc csc (3x). A.-vor-1 В. D. vox-1) [3xV9x-1] 14. Find the derivative of arc sec (2x) C. A. B. D. rV1-A

Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

A:

Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

A:

Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is ...

Q: Geometry What is the length of the edge of a cube if, after a slice 1-inch thick is cut from one sid...

A: We have to find the length of one side.

Q: r(e) = (3t - 5, t? + 2) (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with the positio...

A:

Q: Find the volume of a solid obtained by rotating the region under the graph of the function f(x) = :3...

A: We are asked to find the volume of the solid.

Q: 1. Find the area of the shaded region. 3 y = Vx X 4 y = -x а.

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: 3. If g(x) = x4 – 2, find g'(1) and use it to find an equation of the tangent line to the curve at t...

A:

Q: Solve the equation below by any method. Give an exact answer, using radicals if needed. 2x2 – 12 = -...

A:

Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x...

A:

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it 

Q: nd the volume of a solid obtained by rotating the region underneath the graph of f(x) = 3x³ about th...

A: We have to find volume

Q: Find all real solutions to 2x'3 -4x6 – 6=0. 1/3 1/6

A:

Q: emand Function for Desk Lamps The demand function for the Lumin. esk lamp is given by p = f(z) = -0....

A: Given query is to find the the derivative of the function.  

Q: For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the gener...

A: 46. h,k=-2,-1, x,y=-4,348. h,k=2,3, x,y=5,12

Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: a? + 6x + 9 1. For the function g (a) answer each of the following questions. %3D x² + 3x (a) Evalua...

A: We need to find values of function at x values.

Q: x24x+13

A: We will find the integration of the given function.

Q: Let cH)=LE?, t,6">, a) T(1) 5) K1)

A:

Q: Given a function f(x)=x² -3x² – 9x +2. Find the x-intercepts and y-intercept of f(x). Find the inter...

A: Given: fx=x3-3x2-9x+2 (a). As we know that, To calculate x-intercept, we need to solve for x after s...

Q: Compute the given integral. 5x°e3 dx %3D +C

A:

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is horizont...

A:

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

A:

Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A:

Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

A:

Q: 11:55 ll Untitled docu... ΑΛΑΑΑΑ Α ΑΑΑΑΑΑΛΑΑΑΑ Α ΑΑΑΑΑΑAAΑ ΑΑΑ 15. A function ƒ(1) gives the rate of...

A:

Q: 4. Consider the function g(x) = r+3° a) Find the derivative of g using differentiation rules. b) Ver...

A: The given function, g(x)=2x+3

Q: Find a possible formula for a polynomial of degree four with zeros at (and only at) r -2, 2, 5, and ...

A: topic - polynomials

Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

A:

Q: Select all the expressions equal to pr ry Op.r: (r· y) O (p . z) ÷r·y Op.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: 12. An arrow shot straight up from ground level with an initial velocity of 128 feet per second will...

A:

Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: Igure 3 below shows the region W bounded by the curve y x? and the line y = x. y dd or cre (6,6) rk ...

A:

Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: Find (f 1)(a) for f(7)=0, f'(1)=-1, and a=0. -л -1 1/л -1/n

A: topic - derivative of inverse function

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

Q: How many derivatives at x = a are needed to produce a 5 degree Taylor polynomial centered at a ? O N...

A: How many derivatives at x=a are needed to produce a 5 degree Taylor polynomial centered at a

Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and ...

A:

Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: Question 17 Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2)...

A: To find out the value of b. 

Q: coshi +eoshm' ") sinhmdm

A: For the solution follow the next step.

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: if theta is the angle between the vectors V and W in R3, then the tangent of theta is equal to (V cr...

A:

Q: Find the area of the surface obtained by rotatin the curve y = Va about the y - axis for 64 < x < 10...

A:

Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...