For each part, type your answer in as a fraction. Do not use a decimal or round your answers. If sin(x)=3/5 , then csc(x)=    If cos(x)=2/3, then sec(x)= If tan(x)=7 , then cot(x)=

Q: fx√x - 2dx

A: To evaluate the given integral

Q: Find fdz 7 log(x) + C

A:

Q: 5.) (y + √ x² + y²) dx - xdy =0 when x= √3, y=1.

A: Please see the below picture for detailed solution.

Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

A:

Q: 3. Use the first derivative test to determine all local minima and maxima for the following function…

A: Given f(x)=4x3-9x2-30x+6

Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

A: To find:- Hyperbolic functions in terms of exponential function

Q: Given fo²F0₂ f(x) dx = 6 and (a) [ f(x) dx $fº Fx (b) [³ 16 (c) [f(x) dx (d) 3 f(x) dx -5f(x) dx…

A: Given ∫03fx dx=6, and, ∫36fx dx=-1, to evaluate the following.a ∫06fx dxb ∫63fx dxc ∫33fx dxd…

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

A:

Q: 4. Solve sin (2-) = 1.

A:

Q: Let 0 be an angle in standard position. Name the quadrant in which 0 lies. cos >0, tan 0 >0 The…

A:

Q: 2) Find the normal and general forms of the equation of the plane that contains the point P = (6,…

A:

Q: I now know about the even function rule where you can change the bounds from -a to a to 0 to a by…

A: Sol:- As we know f(-x) = f(x) when function is even function.

Q: line g || line h 12 4 3 5 6 7 61° g h

A:

Q: x² if x ≤ 4 if x > 4 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) =…

A:

Q: Find g(x) if g'(x) = (60x² 80x). 94x³8x2 and g(0) = 7. -

A: See the details solution in below

Q: Part 1 1) Differentiate the following expressions (i) 5x2sinx (ii) 40 sin(20) 2e

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. By trial and error, determine one value of x at which the function f(x) in part b) above is…

A: C). Here we have given a function:f(x)=2x-6    ;x<5x2-3x  ;x≥5 For a function to be…

Q: 43. f(x) = cos x - x, [0, 4π]

A: The given function fx=cos x-x, 0, 4π. We have to find the relative extremum of the function.

Q: 1. Solve 2 sin(0) √3=0. -

A: 2sinθ-3=02sinθ=3sinθ=32sin(π3)=32and  sin(2π3)=32

Q: In​ 2012, 34.1% of all glass containers were recycled. A beverage company used 450,000lb of glass…

A: NOTE: Refresh your page if you can't see any equations. . where t=nuumber of years after 2012 and…

Q: Evaluate the integral using the following values. 8 ["x² dx = 960, ["x ax = 24, ["ax=4 dx dx J4…

A:

Q: A company that produces cell phones has a cost function of C = 26x² - 433x + 3862, where C' is the…

A: Topic = Function

Q: A hospital dietician is planning a special diet for a certain patient. The total amount per meal of…

A:

Q: Use Newton's method to approximate a root of the equation cos Enter your root with at least 5…

A: Given That : cosx24=x3.75 To Find :

Q: Question 4 $ How much would you need to deposit in an account now in order to have $4000 in the…

A:

Q: Assuming - 8x³ - 2y² - 10xy = 0 defines y as a differentiable function of x, Fx use the theorem dy…

A:

Q: Solve the following system, using Gaussian elimination or Gauss-Jordan elimination 2Y+3Z = 8 2X…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is   augmented matrix is

Q: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

A:

Q: Use the integral test to determine whether the following series converge.If it converges, find its…

A: We will find the required.

Q: 7. fx² sinxdx 9.f x² Inxdx

A:

Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.)…

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's…

A: f(x) = cosπx       , [ 0,2 ] rolles theorm states that if f(x) is continuous in [ a,b }f(x) is…

Q: ³.f x² lnxdx

A: Given, ∫ x2logxdx

Q: What are the future value and the interest earned if $2800 is invested for 5 years at 8% compounded…

A:

Q: A company sells square carpets for $3 per square foot It has a simplified manufacturing process for…

A: From given statement

Q: Given events X and Y with these probabilities P(X ∪ Y ) = 0.7 = 7/10 P( Y - X) = 0.3 = 3/10 P(Y ∩…

A:

Q: Find the integral. S 12√x dx 13 √ ¹³√x dx = 1/2* -X 13 + C

A:

Q: Find the value of the derivative. dy dx dy dx Ix= -4 4 if y=4-5x²2 = (Simplify your answer.) ***

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: What is the sum of the measures of angles 4, 7, and 3 ? line g || line h 12 4 3 5 6 7 65° [image not…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.)      x4(5x5 + 6)3 dx

A:

Q: Sketch the situation if necessary and used related rates to solve for the quantity. If two…

A:

Q: Estimate the area under the graph of fex) = = =+ over the interval [0₁3] using eight aproximation…

A:

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A:

Q: The equation implicitly defines as a function of t. Find dz dt = 22 sin (4 x)-8

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

Q: St≤1. se symbolic notation and fractions where needed.) 89 W = 3e+ 45

A: Use work done formula

Q: 5. A company has found that its weekly profit from the sale of x thousand hula hoops is given by…

A: To solve the following problem

Q: Begin with the graph of y = ex. Use transformations to graph the function below. Then determine its…

A: Parent function:- y=ex Transformed function:-fx=-8-e-x

Q: Solve the initial-value problem y" +6y' +9y=0, y(0)=2, y'(0) = -5.

A:

Q: Why is the -27 omitted from the final answer

A:

Q: cos 4t-cos 2t 3. f(t) = t

A: