7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

Q: Evaluate the following integration.

A: Let Sinx=t

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(2rs, s² - 6r). Use the table of…

A:

Q: Evaluate the integral: J 3 хе x³ e³x dx

A:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: Consider the graph of the function

Q: Given the measurement 2.4 g, find (a) the relative error (to 2 significant digits), and (b) the…

A: Given - Given the measurement 2.4 g Formula used - Relative error = greatest possible error /…

Q: It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars…

A:

Q: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: Given the function f(r) = (r - 1)(r + 2)(r6) its f-intercept is ( its r-intercepts are Invalid…

A: Here we will find the f(r) intercept and r-intercepts,

Q: Let f(x) = 3x + 2. Determine (fofof)(x). (fofof)(x) =

A: The given function is: fx=3x+2   As we know that; f o f o fx=fffx

Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

A:

Q: It has been determined that the cost of producing a units of a certain item is 10x + 1585. The…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: The derivative of a function of f at æ is given by provided the limit exists. f(x+h)-f(x) = Use the…

A:

Q: 6. Find the value of -1 I 1 = [ ²₁ [2²=2² (2² + 1²³) dy d²x + + [ ₁ [²*² (2³² + y²³) dy dz I by…

A:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

A:

Q: Determine the convergence or divergence of the series. 2 n(n+3) Step 1 Decompose to partial…

A:

Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

A:

Q: Find the general solution of the differential equation. y(4) + 2y" +y = 3 + cos(4t). NOTE: Use C₁,…

A: We have to find general solution of the differential equation  y4 +2y"+y= 3+cos(4t)   ... @   As we…

Q: We are trying to prove the following limit. Suppose that we have found a value of such that e =…

A: Given: limx→7 (2x-7)=7

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: 7. Evaluate x²+2 + (x − 1)(x − 4)(x+2) - -dx.

A: ∫1ax+b dx =1alnax+b+C.

Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

A:

Q: If cos(0) = sin(0) = - 1 and is in quadrant III, find the exact value of sin(0). 9

A:

Q: 10. Use the Comparison Test or Limit Comparison Test to determine whether k=2 k3 k5+2k + 23…

A: The given series ∑k=2∞k3k5+2k+23

Q: Find the differential dy of the given function. y = x arcsin 3x dy = Submit Answer intel DETAILS…

A:

Q: Given the graph of f (x) above, find the following limits. (a) (b) lim f(x) = x418 -6 lim f(x) = -4…

A:

Q: For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.…

A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A:

Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

Q: 1. Let f(x, y) = y³ + x³ - 2y² - 3x + 30y. (a) Find all the critical points of f. (b) Determine…

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim I → 1- lim z+1+ 4 mort 42 f(1) = -2- -3- -4-…

A: Solution is given below:

Q: We are trying to prove the following limit. 1 Suppose that we have found a value of & such that e =…

A: According to the ε-δ definition of limits says that the limit of f(x) at x=c is L if for any ε>0…

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Evaluate…

A: Calculate value of function at given points  Then calculate difference between the values of the…

Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

A:

Q: A rectangular page is to contain 89 square inches of print. The margins on each side are 1 inch.…

A:

Q: Find the area of the region that lies inside both curves. r = 2 + cos(8), r = 2 - cos(8)

A:

Q: For the function 1 - 3x x² + 2 find the values of the following limits: f(x) = lim f(x)= [Select]…

A:

Q: nd the solution of the given initial value problem: ) = || y(4) + 2y"" + y″ + 8y′ − 12y = 12 sin(t)…

A: The solution is given below

Q: 17 The waiting time for a bus has probability density (1/10)e/¹0, with = 10 minutes. What is the…

A:

Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

A:

Q: dy Find at (0,2) in tan(x³y² ) + 3y³ − 24 = x²y³ + 5x dx B. C. D. 25 36 5 500 103088 5 36 9 E. NO…

A:

Q: 1.3 domain: What is the domain of y = ln (x² - x - 6)? help (inequalities)

A: The function is  y=ln(x2-x-6)

Q: 1.16 Let f(x) = lim_f(x) = H-4 2, 4x + 19, Calculate the following limits. Enter DNE if the limit…

A:

Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: Solution is given below:

Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + 3x, 3…

A: The expression for the area of the surface revolution of y=fx about the x-axis on the interval a≤x≤b…

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The objective of the question is evaluate the directional derivative at the given point and…

Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: Given :9y''+12y'+29y=0

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: