Which of the following is the antiderivative of f(x) = tan (A cos x + cotx + C B -In/cos.x+C (C) D sec x + tan x + C In sec rl+C

Q: ㅠ mine the equation of the tangent line at t = to the curve defined 3 metrically by the equations…

A: Topic: application of derivatives

Q: Find the relative maximum and minimum values. f(x,y) = x² + y² - 10x+10y - 7 Select the correct…

A: Find the relative maximum and minimum values. f(x,y)=x2+y2-10x+10y-7

Q: An elliptical culvert is 3.5 feet tall and 7.9 feet wide. It is filled with water to a depth of 1.05…

A:

Q: Find the absolute maximum and absolute minimum of f(x) on [0,2 π]

A: Given, f(x)=x-2 cos(x), 0, 2π

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. 00 (2) Σ…

A: To solve this problem we can use p-test , comparison test and root test

Q: 8. Find the interval of convergence of the power series. 11=0 3n n+2(x-1)"

A:

Q: With today's technology and powerful computers, it is often tempting to think that the curve…

A: Given function:- f(x)=x4 -408x3 +3600x2

Q: blem 3. : Use the Comparison Test to determine w 1 Σ In(n) n=2

A:

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

A:

Q: he table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

A: Solution:

Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.

Q: (x - 1)" (n + 1)2n Determine the values of x for which the power series Σ(-1)". n=0 converges.…

A:

Q: Compute the surface integral over the given oriented surface: F = (0,0, e³+), boundary of the cube…

A:

Q: Find the arc length of the polar curve, r = e30 from 0 = 0 to 0 = 2

A:

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

A:

Q: 7. g(x) = f' √t + 1² dt

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

Q: complementary

A:

Q: Using Integral test, determine convergence or divergence for Σn (Inn)³3 * n=3

A:

Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: A ball thrown in the air has a velocity of v(t) = 98 32t ft/sec at time t seconds. Find the total…

A: given velocity is  v(t)=98-32t   given  t=1 to t=8 formula used is  v(t)=ds(t)dt∫xndx=xn+1n+1+c

Q: A function F(x) is called an antiderivative of f(x) if

A: Our Aim is to tell when does a function F(x) is called an antiderivative of f(x)=?

Q: When f is the function defined by 2x - 5, x ≤ 1, 1, f(x) = S 5x 52 – 9,

A:

Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: Find the points of intersection of the two graphs y = sin (2x) and y = 2 cos²(x) for 0 ≤ x < 2.…

A:

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

A:

Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: We have to show that given vector field is not conservative. Topic:- Vector Calculus.

Q: Determine if the series converges or diverges. If the series converges, give its value.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the area of the region bounded by the line y = 4x, the curve y = Area = √405 x and the x-axis.

A:

Q: find the area that is bounded by the curve ? = √(10sin(theta)) and lies in the sector 0 ≤ theta ≤ pi

A:

Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

A:

Q: What is a parametric description for the plane - 20x - 18y + 2z = 8? Select the correct answer…

A:

Q: Find a function f such that the slope of the tangent line at a point (x, y) on the curve y = f(x) is…

A:

Q: If a 180-mile trip took 7 1/2 gallons of gas, how many miles can be driven with a full tank of 14…

A:

Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

A:

Q: re4 1 2 e² x ln²√x dx

A:

Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

A:

Q: Let f(x): = 9 if x mx - I 7 7 If f(x) is a function which is continuous everywhere, then we must…

A: f(x) is continuous at x=a iff limx-&gt;a-f(x)=limx-&gt;a+f(x) Here f(x) is continuous everywhere…

Q: Simplify cos(t)csc(t) to a single trig function.

A: As we know the trigonometric identities: 1). sinx=1cscx 2). cotx=cosxsinx   To simplify the…

Q: Given f(x) = (x - a)² where a is constant. Where does the absolute maximum value of f occur on the…

A: Given,            fx=x-a2 where a is constant.To find : Where does the absolute maximum value of f…

Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0 0+

A: Given differential equation ( sinθ - 2rcos2θ )dr + rcosθ( 2rsinθ + 1 )dθ = 0 standard form Mdx + Ndy…

Q: ermine dy for the following two functions. dx y = 3x¹ + (7 + sin x)²

A:

Q: Find dy/dx. x= t/7+t, y= sqrt(7+t)

A: Given Equations:- x=t7+t y=7+t

Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

A:

Q: Problem 5. the Ratio Test. (a) M18 πη n! n=1 State whether each of the following series converges or…

A:

Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

A:

Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

Q: 4. FIND THE 2ND DERIVATIVE f(x)= (3x²-2)bog (3x²-2); x Solution: x=1

A:

Q: g1 = 3 g2 = 4 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last…

A:

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

A: