ectile is launched straight up in the air. Its height (in feet) t seconds after launch is given by the function f(t)= - 16t+383t+7. Find its velocity 7.8 seconds after it is launched. G ocity is essary, round to two decimal places. Do not include units.

Q: 5. 39+5 dy (59-7)2

A:

Q: Find the derivative of 83-4 A. 3 ln 8 B. 83x-4 C. D. OA OB OD OC 83-4 ln 8 83x-43 In 8

A: We are authorized to solve only one question, please repost remaining questions Derivative of…

Q: 5. Consider the surface obtained by rotating the graph of f(x) = 1/2, 221, around the z-axis. This…

A: We will show this using integration ∫1∞1xdx = ln x1∞ = limx→∞ln x = ∞

Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.

Q: Find the absolute maximum and absolute minimum values off on the given interval. (Round all answers…

A:

Q: x5 (2 – x²) 5 dx

A:

Q: h. Average value of f on [-4,-1]

A: From graph  f(-4)=5f(-1)=7   formula for average value

Q: The curve is given in polar coordinates by r = e³0. Let A be the point on the curve corresponding to…

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: Estimate the integral right-hand sum with n = 3 subdivisions. Left-hand sum Right-hand sum - [₁2 2…

A: To solve the following problem

Q: 3. Find the area of the band cut from the paraboloid x² + y² -z = 0 by the planes z = 2 and z = 6.…

A:

Q: ² fx ds, where C is с t a. the straight line segment x = t. y = from (0,0) to (16,4) b. the…

A:

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [ºf(x) dx = dx = lim…

A:

Q: Find sin 2x, cos 2x, and tan 2x if sin x= sin 2x = cos 2x = = tan 2x 010 X 1 and x terminates in…

A:

Q: Which of the following statements are TRUE? (Circle ALL that Apply) Optimization can mean…

A: Two multiple choices questions are given. These questions are from algebra and calculus. We have…

Q: (-0.7, 0) -0.5 (2-1) 2 ده - د.0 - گا - 2t (0.7,0.2) (1.5.2) ۱۰

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy

A: We can solve this as follows:

Q: Find the equation of the tangent line to the graph of f(x) = x³e-* at a = 0.

A:

Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: Calculate[ri(t) r2(t)] and [ri(t) x r2(t)] first by differentiating the product directly and then by…

A: r1(t)=6t i+ 4t2 j+ 4t3 kdr1dt=6 i +8t j +12t2 kr2(t)=t4kdr2dt=4t3 k

Q: 3) f cost x dx بعة

A:

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

A:

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A:

Q: Consider the following. y 2 y=4-x² (2.0), X 0.5 1.0 1.5 2.0 2.5 3.0 (a) Form the integral that…

A:

Q: The decay rate for a radioactive isotope

A:

Q: a. b. ² (30e³P +/- ¹ dp р 4 1 2 2x4 dx

A:

Q: andard fencing

A:

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

A:

Q: [₁ 2x - x² dx

A: To integrate.

Q: xy + 1 lim (x, y)→(1, −1) x² − y²

A:

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: Calculate[r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt he product directly and…

A:

Q: = √(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate 2. Let f(x) √0.99 (1.01)…

A: Let's find.

Q: Identify and sketch the graph of the equation in R³. x = 1 − log₂ y

A: This is a problem related to graphing the function. Based on the general formula and concept we will…

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A:

Q: ompute the surface integral over the given ented surface: = y'i + 7j - xk, portion of the plane - 1…

A:

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

A:

Q: 1 Abby walked from the park to the gas station and then to her house. The diagram shows the top view…

A: Here, from the given diagram triangle ABC is a right-angle triangle.

Q: 4. S dx x+√2x+1

A:

Q: 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…

A: We know that equation of sine graph , y=Asin(K(x-C))+D. Where A amplitude A=(max-min)/2 A=(10/2) A=5…

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

A:

Q: A model for the spread of a rumor is given by the equation p(t)= 1/1+ae^(-kt), where p(t) is the…

A: Given problem:- A model for the spread of a rumor is given by the equation p(t)= 1/(1+ae-kt)…

Q: A circle has a radius of 3.5in. A sector of the circle has a central angle of 1.5 radians. Find the…

A:

Q: Determine whether the series is convergent or divergent. Σ 122 O convergent O divergent If it is…

A:

Q: Problem # 15 7 tan (2x) dx use: tan²x = sec² x - 1

A:

Q: Consider the following. f(x) = 25 25 20 15 10 g(x)=x² 5 X -4 -2 2 4 6 i (a) Form the integral that…

A: We are given a shaded region bounded by functions  f(x) =25 and g(x) =x2 where x≥0 We have to  1.…

Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

A:

Q: Evaluate [12x. (2x - y) dx + (x + 3y) dy. C: arc on y = x/2 from (0, 0) to (4, 32)

A:

Q: Find the limit. lim (ti – 4 · 4 j + t² k) t→7 lim (t i − 4 j + t² k) = i 1→7 i+ i j+ i k

A: