Given that sino 3 and 0<0<= what is the exact value of sin(20)?

Q: Evaluate the integral f dx x²√36-x² using trigonometric substitution. Note: Use C for an arbitrary…

A:

Q: Graph the solution of the system of inequalities. x-y> 4 13+ y ≤ 2x S No Solution ? Help -10 -9 -8…

A: Given :- The system of inequalities

Q: Solve each of the given triangles (i.e. find the lengths of the missing sides). Parta) Part b) 160°…

A:

Q: dx 4+ (x-3)² 1. S.

A:

Q: 2t True or False, for all values of x, 2 dt = sint O True O False 2x sinx

A:

Q: Find lim 14x4 x f(x) 0.900 0.990 | 0.999 1.001 | 1.010 1.100

A:

Q: Find the radius of convergence of the power series 1 xn 3n+ (−2)² (n +1) n=0

A:

Q: Evaluate h+ fiz" /// 1 AP (2x + 2h + fix) = {(x, y, z) |0 ≤ x ≤ 8,0 ≤ y ≤ 1,0 ≤ z ≤7} .

A:

Q: 20. Find the area of the region between the curve y sin x and y = cos x from 0 to π/2. a. 0.414 b.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: S dx x√16x²-5

A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Find the mass of a lamina bounded by y=4 sqrt(x), x=4, "and" \ y=0 with the density function…

A:

Q: A B U 12.64 feet 15.82 feet 16.77 feet X 21 ft 37°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: If $100 is invested at 8% compounded semi-annually, what is the interest earned after: a) 7 years…

A:

Q: Use the Laws of logarithms to rewrite the expression log: (2¹4 14 y13 in a form with no logarithm of…

A: Logarithmic Formula

Q: Consider the following limit. lim Ax+0+ 8 x + Ax Ax 8 X Simplify the rational expression as much as…

A: This question is related to right hand side limit

Q: f(x) = g(x) = (f - g)(x). Simplify. f(x) 9x² - 5x + 9 g(x) = 15x³ - 6x² =

A:

Q: Find f'(x) given in the integral function f(x) = Jotanudu

A:

Q: Evaluate the integral sin x cos³x dx

A:

Q: Find the derivative of the function in the image below by using the definition, then evaluate the…

A: Use the defination of the derivative

Q: Rewrite the following integral using substitution: $_1 -dx (5-x)³

A:

Q: The graph of y=f(x) is shown below (dashed curve). Reposition the two green draggable points to…

A:

Q: Question 12 O O Which of the following is equivalent to C ? 10 6 10 C 10 16 C 10 10 C 4

A:

Q: The magnitude of vector v along with its direction angle are given below. Write the vector in…

A: We have,  ||v|| = 8   θ = 330°

Q: True or False, f, *√1-x²dx = 0 (Solve algebraically.) O True O False

A:

Q: i dont understand your work, where is the rest of the solution?

A: The function f(x) has the following definition:

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: given, put x=chere we can see that ,

Q: Here again, is the triangle from Question 1. 4√3 X 30⁰ Enter the value of y here. If necessary,…

A:

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: 19.) Find the indicated of 0. exact value of the trigonometric function CSC =-9/8, is in quad III 7…

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = the x-axis are rectangles…

A:

Q: 22. √₁² (x² – (2 (x² - 4x + 2) dx

A:

Q: 4. The formula A = P(1 + i)" gives the amount, A, of an investment of P dollars after n years at 1%…

A: As per the problem the amount A of investment P after n years at i% interest compounded yearly is…

Q: 3. Find the particular solution of 4y" + 25y = 0 when x = 0, y = -2; y' = 0

A:

Q: Suppose that ƒ(2) = 2, ƒ(7) = 8, ƒ'(2) = 3, ƒ'(7) = 4 and f" is continuous. Find the value of the…

A: f2=2,f7=8,f'2=3,f'7=4 and f'' is continuous

Q: Find the area of the region. y² = x²(1-x²) -2 2 o -2. 2 X

A:

Q: Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 2) and…

A:

Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the vector shown in component form? 4 T ❤ 40 + 3 N -1 -2 -3 2 3 4 Enter your answer by…

A:

Q: In Problems 11-15, let R be the region bounded by the lines y = -2x-4, y = 6, and x = -2. Each…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 加分題 Find the equation OLDEN YELL line 16 of tangent at the point (-112,-2) to the intersection of…

A:

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A:

Q: 3. Given the function f(x, y, z) = x²y³ - y²z³, evaluate fxx, fyz, and fzx. x + y

A: As per our guidelines we are supposed to answer only one question ,please repost the other question…

Q: 2 dn = 5 n n!

A:

Q: A region bounded by f(x) = x + 1, y = 0, x = 1, and x = 4 is shown. What is the volume of the solid…

A:

Q: Question 3 The graph below shows y=f(x) for -2 ≤x≤1. Outside of this interval f(x) is zero. y 1+ 0 x…

A:

Q: If f(x) = 3x² + 6x, what formula will describe, f(x)'s average rate of change over the interval [1,…

A: given given interval is [1,4]

Q: 0. 23. L₂ (x² + x) dx

A:

Q: Find the maximum value of the function f(x,y)=2x^2+3y^2-4x-5 on the domain x^2+y^2=121. List the…

A: To find the maximum value of the function fx, y=2x2+3y2-4x-5  on the domain x2+y2=121. To list the…

Q: Use the substitution x = 2 sint, - ≤t≤ to simplify the following integral: 플 1 4 - x2 dx (a)…

A: By using substitution x=2 sint, -π2≤t≤π2, to evaluate the following integral. ∫14-x2 dx

Q: =) Consider the function z = y² cos(3x) + xy a. Find the partial derivatives. b. Find all the…

A: Partial derivatives with with respect to x then y constant