33. f'(t) = sec t (sec t + tan t), -/2

Q: A man borrows Php 100,000 from the Social Security System for a term of one year. The interest…

A: Bank Discount  =100000×15100=15000

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x х2-16 2. lim x-4 (Vx+5)-3

A: Given; (1). limx→07xsin2x

Q: Jan paid Php 9,250 on a loan made 6 months before at 12% simple interest. Find the interest…

A: Amount Paid after 6 months= 9250 rate of interest=12%=0.12 Recall: Amount after time t years…

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: x²y' + 2xy – 2y = 0

A:

Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

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

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A:

Q: (a) f(x) = (6x² –8x + 4)4 2х -5 (b). у 3D 2.x2 – - 10 2. The population of a city grows from a…

A:

Q: Use logarithmic differentiation to find dy/dx. 4 y = x> 2 x* + 4 dy dx

A:

Q: ) Find for the following functions (choose five only): dx 1. y = 2* + e2x-1 2. y = sec x tan x 3. y…

A: We can solve this as follows:

Q: 1 dr r²Vr² – 9 -2.

A: answer is in next step

Q: Compute f(5) (e) forthe function f(x) = x³.In(x+)

A: f(x)=x3.ln(x4)f(x)=4x3ln(x)Differentiatef'(x)=4x2+3x2ln(x)f'(x)=4x2+12x2ln(x)Differentiatef''(x)=8x+…

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

Q: Let C be the parametric curve defined by                         x(t) = t2 - 2;…

A:

Q: x cos y + sin 2y = xy

A:

Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: Find the integral value for the following functions

A:

Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

A: x=32t-cos tdxdt=32+sin tvertical tangent line:dxdt=032+sin t=0sin t =-32t=2nπ+4π3  and t=2nπ+5π3,…

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ…

A:

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

A:

Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

A:

Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

A:

Q: Select the conic section represented by the given equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 ellipse…

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C, D, E, F…

Q: QUESTION 10 Let D (x) = - 5x +7 and S(x) = 3x+ 1. Find the equilibrium point. 3.25 (-5, 32) (3, -8)…

A:

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

A:

Q: 7. Find the area of the region bounded above by the line y 3, below by the graph of y VT, between…

A:

Q: Find the radius of convergence, R, of the series. (x + 4)" R Find the interval, I, of convergence of…

A: The given series,        ∑n=1∞n6nx+4n

Q: If possible, find AB. (If not possible, enter IMPOSSIBLE.) 0 1 0 B = 3 1 A = -5 5 0 4 2 1 8 6 -1 7…

A:

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim r14 (Yx+5)-3

A:

Q: Suppose the motion of an avalanche is described by the function s)- 4, where s is the distance in…

A:

Q: Sketch the region bounded by the graphs of the functions. = gtx) = -e", x =x = 1 (x) Find the area…

A:

Q: 1. Determine the type and stability of the critical points of the homogeneous systems: (b) 4 = x + y…

A: Solving

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 20…

A:

Q: Let ü =, v = where A and B are some constants. Given that ü + 80 = find the value of the product…

A:

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

A:

Q: Question 1 Determine whether the integral is improper 5 (x– 4) -Idr Not improper

A: Solving

Q: How many terms of the series (-1)" 1+2" are needed to compute the sum of the series with an error…

A: By Alternating series estimation series test : s=∑n=1∞(-1)nbn        1)  bn+1≤bn2)  limn→∞ bn=0Then…

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

A:

Q: az 9- z2 – 2xz 16 find | ax ду at the point (1,1) 10- x+ 2xy – y² = 2 find ax 11- Find The slope of…

A: 9)z2-2xz=16differentiating w.r.t. x;2z ∂z∂x-2z(1)-2x ∂z∂x=0(z-x)∂z∂x=z∂z∂x=zz-x

Q: The function, that is O everywhere except at t=0, is know as: None of these O Unit step O Delta O…

A: topic - functions

Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

A:

Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

A: given

Q: Q2/ Solve the Higher order differential Equations. (. d*y 16y = 0 2-

A: Here we have to solve higher order differential equation.

Q: A Moving to another question will save this response. tion 7 /2 Given f(x) = sin(x2) on [0, n/2],…

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A:

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

A:

Q: Approximate the integral using Taylor series method: xsin?x dx

A:

Q: 2 let C be an arbiterery curve from l0,0) to D). (2,4) Evala vute: (3x² oy, x-2)- dio

A: To find the value of the given line integral.

Q: Find the area of the region bounded by the graphs of the given equations. b) f(x)=2x2-6x+5,g(x)=x2+…

A: See below the answer and calculation