2 Evaluate the J ) dx xvx2-4. | a) arcsec ) + c (2) b) arcsin (-) +c c) arccos(x) + c d) arcsin(x) +c

Q: theorem/ het f ,9EDCI) ; Xo E I, Then O iP xER t Xo then f is differentia ble a and f +g is difteren...

A:

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: cln /3 2e" Ve2 + 1 dx

A: The integration of the integral is 2ex√(e2x+1) limit from 0 to ln√3.

Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

A:

Q: 5. (xy² +y – x)dx + x(xy + 1)dy = 0 6. (1– xy)-²dx + [y² + x²(1 – xy)-²]dy = 0; when x = 2, y = 1 7....

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any sp...

Q: sc 2x - cot 2x = 0 1 sec

A: We have csc2x-cot2x=?

Q: In Exercises 19–22, find the slope of the curve at the point indicated. x - 1 y = x + 1' 22. x = 0

A: Find the slope of the curve at x= 0 is  y= (x-1)/(x+1) 

Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we ca...

A: Part a: Ar=2πr2+8πr Here, we can see that the function A(r) is a polynomial function. The domain of ...

Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

A: Formula: Let s(t) is displacement  Then, Velocity V= ds/dt Acceleration A=dV/dt

Q: A Screen Shot 2022-03-09 at 8.18.27 PM - 口v 西 Q Search A cubic function has a constant difference of...

A: We have to find the leading coefficient of the function.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t° 11t m...

A:

Q: Select the best answer. cos( - 1) =

A:

Q: 13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

A: Trigonometry

Q: Consider the following. dt 49 + t2 Let t = 7 tan(0) and determine the following. %3D dt d0 t = 0 → 0...

A:

Q: 3 5 Given: cosa = ? and A is located in the fourth quadrant; find tan . %3D tan DIN

A:

Q: Find the indicated derivative and simplify. y' for y = (2 + 7x- 9x²) ex y' =]

A:

Q: a learn.hawkeslearning.com/Portal/Lesson/lesson_certify#! ave & Exit Certify Lesson: 3.4a Increasing...

A: Given query is to find the value of x where tangent is horizontal.

Q: 2. Determine the slope of the tangent for the following function: 3x f(x) at x = 4 2 x-4x+3

A:

Q: If s(t) = 4t3 - 6t2 – 24t + 8, represent the position of a particle traveling along a horizontal lin...

A: Find your answer below 

Q: Exercise: Show that x vzdA = Qdx2 Therefore, we have x vidA+ V x VzdA = |_ Pdx1 + Qdra = ▼ × vdA = ·...

A:

Q: What is the slope of the line tangent to the graph of y = tan (3x) at x = 1? The slope of the tangen...

A: The objective of the question is determine the slope of the given function at given point.

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: 680 -59 -0 - 0] q? 600 69 - - 0-01 q? - 680 DIFFREN TIATE d Pla) = q? -reo] 2 0.0) q-680] da da 600 ...

A: topic - differentiation

Q: Sz dx; 2x2-3x+2

A: ∫12x2-3x+2dxComplete the square:∫12x-323/22+78dxSubstitute u=4x-37→dudx=47→dx=74du

Q: Convert 7" = 1714 to logarithmic form and use the change of base formula to solve for n. Round answe...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t...

A: The objective of the question is determine the velocity , acceleration and acceleration when velocit...

Q: Let f(x) = x- 2x- 9. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Find...

A: Topic:- derivatives

Q: 5. TikTok is a video-focused social networking service, launched in 2017. A marketing student found ...

A:

Q: A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t ...

A:

Q: Frank was planning a 10-week bike riding trip through Europe. • He planned on taking $1,500 with him...

A: Trip amount

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 f(x) = Σ...

A: The given function,        fx=11+x5

Q: The position of the particle at time t is given by s(t) = t² – 10t + 24. The particle is moving from...

A:

Q: Find the equation of the tangent line to the curve of f(x) = x3 - 4x + 5 at the point (2, 5). O a. y...

A:

Q: 1 dx 2. 0 (2x+1)Vx²+x

A:

Q: Consider the function. f(x) = -2x3 + 12x² – 24x + 15 Step 2 of 2: Determine the open intervals on wh...

A: the given function,     fx=-2x3+12x2-24x+15

Q: 2. Consider the shaded region to the left of the y-axis bounded by the curves y = x2 – 1 and y = x2/...

A: 2) Here, the region is bounded above by the curve y=x22 and below by y=x2-1.

Q: 3) Determine the value(s) of k that make the functionf (x) continuous for all x. Show your work for ...

A:

Q: Compute the sums below. (Assume that the terms in the first sum are consecutive terms of an ar + (- ...

A: Given: - The sequence is, 7+5+3+......+(-263)=∑k=1119(3k+1)= To compute: - The sums below. (Assume t...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ + 1...

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the solutio...

Q: Obtain the solution using Integrating Factors Found by Inspection 2x 5y ′ = y(3x4+y2)

A:

Q: Calculate the derivative. y= cos x In (cos ?x) y' =D (Use parentheses to clearly denote the argument...

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

Q: Given: cosg= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

A:

Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the ...

A:

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4 – 11t m...

A:

Q: 15 12 Using this graph, for each of the following pairs of numbers decide which is larger. Be sure t...

A:

Q: ((2x-y²)´ (x,y) # (0,0) Let f(x, y) = x2+y4 2, (x, y) = (0,0) Is f continuous at (0,0)? Do fr(0,0) a...

A:

Q: Consider the following shaded region bounded by the curves y = x/2 and r = y² – y - 4. (a) Draw a re...

A:

Q: 3. a) Use the trapezium rule with five ordinates to find an approximate value for S dx, giving your ...

A:

Q: Given: cos a=, sin B= , and a and Bare first-quadrant angles; find cos(+ B). -33/65 16/65 1/3

A: