7 n³+9 3 n=1 6 n³ + 1 %3D 8.

Q: 3. dx

A: Integral CalculusExtension of power formula

Q: how is the irrational zero found?

A:

Q: For the points P1 (4,2,3) and P2(5,1,2), find the direction of P,P2 and the midpoint of line segment…

A: Given that coordinate of point P1 is (4,2,3) The coordinate of point P2 (5,1,2) We have to found the…

Q: 3. Evaluate: lim -) X-0 sinx

A:

Q: dy Solve of x°y4 – 6e(2-y) = 3. 12e(2z-v) –3r2yA 4 A. y' %3D 6e(2z-y) +4x³y³ B. y' 2e(2z-y) – 3z²y4…

A:

Q: A rectangular garden is fenced on three sides, and the house forms the fourth side of the rectangle.…

A: Explanation of the answer is as follows

Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

A:

Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A:

Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: 1 (tan x + cot х) sec x %D 1/cosx 1/sinx 1

A: Given query is to find the correct option for the expression.

Q: 12" +2 2 (- 1)"-b,. where b = n=1 (n+2) 14"+3 a) Find and simplify bn+1 bn b) Test the given series…

A:

Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: please can you also answer number 3.

A:

Q: 4 x xp = Vx+9

A:

Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

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

Q: Solve using Lagrange Mult ipliera, fenal anewere phould have 4 decimal placia. Find the maximum and…

A:

Q: A rocket is being launched. After a while, it rises at a constant velocity of 40 miles per second.…

A:

Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

A:

Q: How did he get the second derivative step by step and a clear line please 3 -X- Fex) = I+e sinu x…

A:

Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

Q: Determine the linear approximation of f(x) = x* at x = 1. а. у %3D 4x - 3 O b. y=- 4 x - 3 О с. у-…

A:

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

A:

Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

A:

Q: Convert the equation to polar form. (Use variables r and 0 as needed.) x = y

A: Given :x=y

Q: Choose the quadrant in which the terminal side of this standard position angle is located: 105.7°…

A:

Q: Question There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x…

A:

Q: Which of the following series is convergent? Select one: 3n 4n 2n + 1 n=1 3n 3n 2n + 6 n=1 2n 2n 6n…

A: In all the given series you can use the Root Test, that is to find: limn→∞ann if that is less than 1…

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

A:

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

A:

Q: Express the angle in radian measure. 60° pi/6 pi/3 pi/4

A:

Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

A: Question - 1(a) Given: y=53y=x3 Formulas used: The area bounded by the curves f(x) and g(x) is given…

Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: Here is the graph of the two parabolas. Green area is the intersection of two graphs.

Q: the distance between point and our plane is (-3, 3, -2) and not (-3, -3, -2)?

A:

Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: Sx? cosh 5xdx

A:

Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

A:

Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

A:

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

A:

Q: 3. Evaluate: lim ( ) X-0 sinx

A:

Q: Find the tangent plane to the equation z = 2y cos(5z – 4y) at the point (4,5, 10) z = 2y- 2= 0 X…

A:

Q: (yt + y)dy + ty dt = 0.

A:

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

A: We need to solve differentiation problem.

Q: The weekly demand for the PULSE 25 LED TV is p = 600 – 0.05.x, 0 < x < 12000, where p denotes the…

A:

Q: Find the slope of the line tangent to the conic section 25 (х-2)2 (y-6)2 = 1 at (2,10). 16

A:

Q: -2 is a critical number of the function - Vir - f(x) = 2x x2. Select one: True False

A:

Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

A: