Compute the integral (a) sin(x) dx by letting u = x. (b) e/2dx by letting u = x/2. Show that you got the correct answer by differentiating the computed function.

Q: The volume of 425 mL of a certain liquid has mass 390 g. Find the mass of this liquid that has…

A:

Q: Do Dice Play God? from Ian Stewart's Nature's Numbers. Explain your understanding and give some…

A: Not only does God definitely play dice, but He sometimes confuses us by throwing them where they…

Q: Using the Inverse of a Matrix In Exercises 19-26, use an inverse matrix to solve each system of…

A: Given 3x1+2x2=1 x1+4x2=-3

Q: Given the graph of y = f(x) shown below, what is the graph of y = f(-x)?

A: Given Graph

Q: EXERCISES 1.5 Is the function, whose graph is drawn in Fig. 7. continuous at the The following…

A: From the given graph, we have to find the graph is differentiable or not at the points x=0 and x=3

Q: Use the Table of Integrals to evaluate the integral. dx x² 49x² + 81 /

A:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at the…

A:

Q: 4-x 5-√√x² +9, lim x-4 5- 9-x² x-35-√√x² + 16, lim

A: To evaluate the limit.

Q: select the correct answer below O 0 0 V N 나 * 1187

A: If the graph y=f(x) is shifted a units right then the graph will become y=f(x-a) If this graph…

Q: In a frequency distribution table if the last class interval is 18– 34, then the class size will be:…

A:

Q: 16. dy dx = 4e-3x, y = 2 when x = 0 0

A:

Q: ƒ(x): 4- x² 1-x2

A: The given function is fx=4-x21-x2 We have to find the domain of the function.

Q: Find the difference quotient f(z+h)-f(1) h for the function given below. f(2)=-7z+6

A:

Q: 13. 14. dy dx dy dx = = 2 x2 +4 3 x2 + x

A:

Q: 10. C. B.x 아타 1 i B. 유 = (32i + 425 - xyR) . (음 1 + + 으음?) 스 = KA = th 3x2 ax 3가고 x 2 + 42 0 - 24 2…

A:

Q: Given f(x) = 2x² 3x + 4 - 2 g(x) = x² - 2x evaluate f(g(2)) + g(f(-2))

A: Given  f(x) = 2x2-3x+4  g(x)= x2-2x( Evaluate f(g(2)) +g(f(-2))

Q: 4] 5] Find the curvature of y=x² at (1, 1). Find the curvature function for r(t) =. ***** wwwwww

A:

Q: The equation of the tangent line to the curve y=3x² - 2x

A:

Q: What is the mean radius 7 from the midpoint of a cylinder of radius a and height h to its boundary…

A: Given a=h2=10 cm

Q: You are expecting a tax refund of $4,000 in 10 weeks. A tax preparer offers you an "interest-free"…

A:

Q: Graph the following system of linear inequalities.     3x − 2y   ≤   4 −4x + y   >   −6

A:

Q: lim x to infinity (square root 4x^2+x-2x)

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² + y² + 81-9 lim…

A: Solve the following

Q: Find the domain of the vector functions, r(t), listed below. using interval notation. a) r(t) =…

A:

Q: Find the area of the region that is enclosed by the cardiod r = 10 — 10 sin 8. NOTE: Enter the exact…

A: Concept: The area of the region bounded by the cardioid is Area=∬Rrdθ

Q: Determine the interval(s) for which the function shown below is increasing. Provide your answer…

A:

Q: We are trying to prove the following limit. Once we have specified & in terms of &, one of the steps…

A: From ε-δ definition of limit we know that, limx→af(x)=L implies for a pre-assigned ε>0 there…

Q: Given the vector function 7 (t) = (cos 2t, sin 2t, t), find 7(2), Ñ(1), B(4)

A: Given that  r→(t)=cos2t,sin2t,t

Q: Find the derivative and simplify. dy dx y = (4x7 + 2) (9x6-9x4 -8)

A: differentiate by using by part formula

Q: Evaluate the integral using the indicated trigonometric substitution. Note: Use an upper-case "C"…

A:

Q: According to Ohm's Law, current I (in amps), voltage V (in volts), and resistance R (in ohms) in a…

A: According to Ohm's lawI=VR

Q: 128. Find (3) if h(x) = 2x+ f(x)g(x).

A: Function h(x)=2x+f(x)g(x)

Q: Which of the following statements is false? AA function is not differentiable at x-a when it is…

A: NOTE: Refresh your page if you can't see any equations. . conditions for the differentiable…

Q: choose the correct answer A list of numbers has been given. Find the pattern necessary to complete…

A:

Q: H Question Completion Status: QUESTION 4 State the domain of: g(x) = □ (-∞, -2) U (-2, ∞ ) O(-∞,2) U…

A: We have given function  gx=x+3x2+x-6 Domain is the values of x for which a function is defined.…

Q: Choose the correct answer Solve for the median of the given FDT (photo attached) a. 33.33 b. 37.05…

A:

Q: 29 Given that at any point (x, y) on a curve, y = 2, and an equation of the tangent line to the…

A:

Q: Find the local minimum of the function f(x), which is given in the graph below. -8 Provide your…

A: Solution

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A:

Q: Rewrite the quadratic function in transformation form. h(x) = 2x² + 8x - 5 h(x) = Give the vertex. (…

A: Here we have to write inthe standard form

Q: ity before taking limits. 33. f(x)=x²+1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Note: Click on graph for larger version in new browser window. The graphs of the function f (given…

A:

Q: Determine that each equation is a solution of the given differential equation. d²y y = A sin 5x + B…

A:

Q: otto? 5. Find the equation of the line which is tangent to the 6²-4x+5 at the point where x=1. work…

A:

Q: Use the given graph of the function to find the x-values for which f is discontinuous. 1,0 1,0…

A: Topic- Discontinuity of a function A function is discontinuous at a point if there is a jump in the…

Q: x²-3x - 10 x + 1 Given f(x) = statements are true? which of the following Select the correct answer…

A:

Q: f(x) = 6x12, x 5- 2 if x ≤ 2, if x > 2.

A: Consider the function  f(x)=6x-12,     if x≤25-x2        if x>2

Q: (3x²y³ + 3 sinx+4y) dx + (3x³y² + 4x) dy = 0

A:

Q: Let f(x) = The equation of the tangent line to the curve at the point (3,0.40000) can be written in…

A:

Q: 2.) The daily total cost for producing x portable DVD players is given by C(x)=0.0001x³ -0.08x²…

A: NOTE: Refresh your page if you can't see any equations. . the total cost function is the average…