Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 4 3 2 1 4T 2 8π 10T 4T 3 3 | F | M 1515 4T 3 2π -1 -2 -3 -4 2π 3 - 3

Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

A:

Q: a.) Get an expression for an b.) Evaluate S50 c.) Find n such that Sn = -950 -2, -5, -8, -11,.

A:

Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

A:

Q: = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 11 cos(t)i + 11 sin(t)j + 6tk Use the formula…

A:

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A: Given curves: y=ex, y=xex We have to find the intersection points of both curves Therefore, ex=xex…

Q: Estimate the integral 2de using a left-hand sum and a right-hand sum with n = 3 subdivisions.…

A:

Q: Question Find fy (x, y) for f(x, y) = Provide your answer below: ezy xy

A:

Q: Verify Green's Theorem by evaluating both integrals AN fx2ax+x²&y-LI (x-an) = y2 dx + x2 dy dA ?х ду…

A: We can solve as follows

Q: 7 (t) = (4t³, 5t²). Find 7 '(t).

A:

Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

A:

Q: dx S x² √√16-(x-3)² Let x 3 = 4sec 0 dx = 4 sec 0 tan 0 de Is the solution on the right track? If…

A: We have to find the integral.

Q: ∫10x9−12x3−5 dx Evaluate indefinite anti-differentiation

A:

Q: Find all solutions to the equation. 2 cos x cos x=0

A:

Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ ( Ox (ON-OM) c for the…

A: Here we have to verify the Green's theorem.

Q: y-gx cross-section base view The base of a certain solid is the area bounded above by the graph of y…

A:

Q: A circle is inside a square.

A: Let a be the side of square and r be the radius Let A be the area enclosed between the circle and…

Q: Find the exact area under the graph of f(x)=1 between r=0 and r = 2. Area =

A:

Q: sec7(t) tan(t) dt Evaluate indefinite anti-differen

A: We have to find the integral

Q: Determine whether the series is convergent or divergent. arctan 2n n = 1 O convergent O divergent If…

A:

Q: Use Stokes' Theorem to evaluate for F. dr. F(x, y, z) = 5xyi + 5yzj + 5zxk C where is the triangle…

A:

Q: Let (3, 4) be a point on the terminal Find the exact values of cos 0, sec 0, cos ( = 0 sec 0 = 0 cot…

A:

Q: 343 2 1. y = x² - 9 and y = x + 3 (Answer: 6 s. u.)

A:

Q: (5) Please help me answer this one. Read the problem and questions very carefully. Show your…

A: This is a problem related to percentage part of the mathematics. Based on the general formula and…

Q: face integral over t xk, portion of t n the octant x, y, z ing normal

A:

Q: In x dx = fx²dx fln x dx = (Inx-1) + C the solution correct? If your answer is yes, provide the…

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

Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

A:

Q: Activity 3. Problem Solving. Solve the problem. Show and illustrate your solution. The ladder 7.5…

A:

Q: Question 9 In MN = In M + ln N Maybe False True None of these

A:

Q: Two years ago, $5, 000.00 was placed into an investment in which the amount of money present, P,…

A:

Q: 3. f(x) = 3+ |2x − 4|, a = 2;

A:

Q: (8x4 − 5x2 + 2)dx evaluate indefinite anti-differentiation

A:

Q: ∫ (1 + secx)2 dx Evaluate indefinite anti-differentiation

A: Solve it

Q: Identify and sketch the graph of the equation in R³. Identify and sketch the graph of the traces as…

A: An equation is given                         -x+y2+z29=0We will name and sketch the graph of the…

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

A:

Q: ∫(x2+5)2 dx Evaluate indefinite anti-differentiation

A: Let's find.

Q: A point starts at (x, y) (5,0) and moves CCW along a circular path that is centered at (x, y) (0,…

A: A point starts at x, y=5, 0 and moves CCW along a circular path that is centered at x, y=0, 0.…

Q: second derivative tests. =) has a relative Choose one Choose one maximum minimum at the point (?, ?)

A:

Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A:

Q: s x3 √1-x² V dx

A: Given: I=∫x31-x2dx   ...1   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: A pendulum of length 10 cm has swung so is radian measure of the angle formed by the pendulum and a…

A: Follow the procedure given below.

Q: Recall that the Maclauren series expansion for f(x) is given by f(n) (0) r. Find the Maclauren…

A: The function is given by fx = ex Tp evaluate: The Maclauren series of the function fx.

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

A:

Q: = ||r'(t) × r"(t)|| ||r' (t)||³ to find k(t). 3 r(t) = 5 cos (7t)i + 5 sin(7t)j + 4tk Use the…

A: Given  problem:-

Q: yo dx

A:

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to…

A:

Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

A:

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

A: