4. Given a function, fix), such that f(x)dx = 10, calculate: a) - r(«)dx b) S rx - 2)dx d) Stsx) + 1]dx

Q: The three basic trigonometric substitutions are in the table below. Integral Contains Try using…

A: We will solve the integration.

Q: 8. Find y'ifys34-7x+2)+4%-2

A: Differentiation

Q: Find the length of segment AB. Round your answer to the nearest tenth. A 51° 26° 20 mi B 15 mi 16 mi…

A: ANSWER: 16 mi SEE ATTACHMENTS

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

A:

Q: Step 3 Apply the Fundamental Theorem of Calculus, which states that f(x) dx = F(b) - Fa). Use this…

A: We can complete step 4 by the cross multiplication method.

Q: dy (1- y)

A:

Q: Question 21 (-1 )dr In (z + a+ 1) + v3 sin In ( + + 1)-3 tan O 2 In(z +a + 1)-V3 sin () 2 lu(r i…

A:

Q: Using the function f(x, y) find the following limits. If a limit does not exist, enter DNE. z* + 5y2…

A: On solving this we will get

Q: (п+1 c) Σ-1 3η2 b) En=1(-1)" (41) Inn a) En=3 (in (Inn).

A:

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

A:

Q: Find the area between the curves f(x) = x2+2x+1 and g(x) = x+1

A: We need to find area between given curves.

Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

A: The nth term of an arithmetic sequence is an = a + (n - 1)d  a is the first term. d is the common…

Q: The equation of the ellipse that has its center at the origin with focus at (0, 4) and vertex at (0,…

A: The ellipse has its center at the origin with focus at 0,4 and vertex at 0,7

Q: Solve the equation on the interval 0s0<2x. sin (30)= - 1 What are the solutions to sin (30) = - 1 in…

A: Given query is to find the solution of the expression.

Q: sin ® 3y cos3ydy cos 3y dy

A: We have to find out the integral

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

A:

Q: The equation of the line passing through the point (– 3, 7) with slope zero. A. x = -3 C. x = 7 D. y…

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

A:

Q: Problem 3. at a speed of 60 cm/s. Suppose the function g models the radius as a function of time t…

A:

Q: Solve the equation cos? x - cos x = 0 over the interval [0°, 360° ]. solving for cosx, solving for…

A: We will solve for cos x and x.

Q: Find curl(5z i+ 6x j+9y k). curl(5z i+ 6x j+ 9y k) = ( i )i+(i j+( i )k

A:

Q: Evaluating Indefinite Integrals - Partial Fraction Decomposition Suppose we want to evaluate the…

A:

Q: If the series converges, find its limit. (Leave your answer exact.) If the series diverges, simply…

A:

Q: Determine the convergence or divergence of the series. (If you need to use

A: answer is in next step

Q: and y=x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the solid…

A: Given :-region bounded by y=x2  ,  y=x+2revolving about the x-axisusing washer/disk…

Q: Find f'(2).

A:

Q: The area bounded by y=3Vx and 2y =3x is revolved about the y-axis. Using circular ring method, set…

A: This question can be solved using the concept of circular ring method.

Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: system which is represented by the given equation below, is able to work effectively ven when the…

A: Given, f(x) = 7x ^ 3 - 0.31x ^ 2 + 8x - cos(x).

Q: 3. For curve y ==x +4x2 - 12x , locate the possible maximum and minimum %3D points.

A:

Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

A:

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

A:

Q: (H.W) 1- Solve by choose M this time (2 x y² + 3 x² ) dx + (2 x² y + 4 y³ ) dy = 0 2- Find the…

A:

Q: F(x) = e2x C = 0

A:

Q: 1. sin 0 =

A: answer is in next step

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the deinite Integral by the…

A:

Q: FP Use the Fundamental Theorem of Calculus to evaluate: /2 13. xp x zJ55 9/u5

A:

Q: 2 | (ax³+ = 2b - bx²+cx) dx x?dx . -2 (A) True B False

A:

Q: V4.01 V4.01 Give your answer correct to Use differential to estimate the value four decimal places.…

A: topic- differentials

Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

A:

Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

A:

Q: V100-1000 lim y-10

A:

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

A:

Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

A:

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: nd lim l Nx-3 and simplifu X-79

A: Given query is to find the limit of the expression.

Q: a. 0 =-45 → graph type = b. r= 8-8cos0 graph type = facing up/down/left/right? loop length = c. r=…

A: (a) θ=-45°Graph type straight linesymmetry along first and third quadrant     (b) r=8-8cosθgraph…