9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

Q: Determine if the point A(4, -7, 8) lies on the plane: T1 : [x, y, z] = [-3, 2, 9] + s [2, 3, –7] +t…

A:

Q: The junior class has 50 students. Fifteen students take only French, 5 students take only Latin, and…

A:

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

A:

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: Find div F and curl F if F(x, y, z) = xªi – 2j + yzk. div F= curl F=

A:

Q: 2. Find the desivative ofy= Binx

A:

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

A:

Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: alyze and sketch a graph of the function. Find any intercepts, relative extrema, and points of…

A: We are allow to solve one question and 3 subpart only at a time. If you want rest of solution please…

Q: Ay (2, 4) y = 2x y = x2 2. Using a vertical element of area, the area of the shaded region is given…

A:

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: Find the tangent plane to the equation z 2y cos(5x – 4y) at the point (4,5, 10)

A: Given; z=2ycos(5x-4y) at the point (4,5,10)

Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: A. (, 글) %3 ( B. (- , -) =(

A: We will find the coordinates in polar form.

Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value

A: Solve for the value of X

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 1 3n3 n…

A:

Q: petdo eidj to noitom paidi b noit t no eog edt bnt Use the limit process to find the area of the…

A:

Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: e3t – 1 lim t0

A: Use l hospital rule for finding the limit.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

A:

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: 12 (25x – 46x' + 3)dx J-12

A:

Q: Find (3+2)-2i. 406 754 386

A:

Q: f(x)= sin (x² +2x)

A:

Q: Find the derivative with respect to x. (c) y = v7x – x4 (d) y = (1+ sin 7.x)-5 (a) y = (5x – 2)*…

A: This question is related to derivative, we will solve it using given information.

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

A:

Q: n = 1 Vn lim n-00 converges O diverges

A:

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

A:

Q: The value x = a is a critical number for f (x). Classify a as a local maximum, cal minimum or…

A: Given f(x) = x^3 -12x^2 Also given x=8 is critical point  now we have check at x=8 has maxima or…

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: To determine whether the given series is convergent or not.

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

A: We will solve the integration.

Q: dy 4 V -1

A:

Q: Evaluate the limit using L'Hospital's rule 4* – 97 lim

A: Limit

Q: Jack B. Nimble has a reputation for jumping over candle sticks. Just for kicks, do a new jump with…

A: Topic:- application of derivatives

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Solve the following

Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

A:

Q: dy 1- y}

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

Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: The probability that an event will happen is . What is the probability that the event will not…

A:

Q: Jasmine builds tool sheds. She uses 10 sheets of drywall and 15 studs for a small shed and 15 sheets…

A:

Q: Twenty-five

A: We will find the probability.

Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

A:

Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

A:

Q: A mass attached to a vertical spring has position function given by 8(t) = 4 sin(4t) where t is…

A:

Q: Solve y’’ – y’ + y = 2sin(3x)

A:

Q: 3n° + 2n³ - 7 {a,}== 7n' + 3п +4

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. If th use co or -co,…

A: Given query is to find the series converges or diverges.

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 11 cos(t)i+ 9 sin(t)j +…

A: