VIBDIC he following DES. to E visbiol

Q: If f(x) f'(x) = [ 7-x² 3+x² find:

A: Topic = Derivative

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

A:

Q: Find the generated volume f(x)=sin(x) and the lines x=0 and x=π and rotate about the x-axis V=π^2…

A:

Q: Evaluate the Integral using the following values. [°x³ dx = 260, [°x dx = 10, [°dx = 2 [°(22-7x-x²)…

A:

Q: 2.fe-2y dy

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + 7 x dy = (3x72xx)dx…

A:

Q: 9. Which of the following is f(x) = x³ the parent function for? a) f(x) = 8x³ - 13x + 11 b)…

A: 9. Which of the following is f(x)=x3 parent function for.

Q: dv/du = (u — v)² — 2(u - v) - 2.

A: Here, the given DE is: dvdu=(u-v)2-2(u-v)-2...(1) Substitute u-v=p differentiating it with respect…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A:

Q: x²+1 lim x-5 √2x+2-2

A: We have to evaluate the limit.

Q: (a) Find the velocity function. v (t) = (b) Find the acceleration function. a (t) = PY PW POY

A: A particle moves according to the position function st=e4tsin5t To find the velocity and…

Q: dv/du = (uv)² — 2(u — v) — 2.

A:

Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: 1,-1, 3), 6 = 2-(0, 5, -2) Find 52 +22-46 C a Let a = O (5, 1, 1) *(5, 7, -1) O(18, 35, 12) O(-14,…

A: Topic:- application of algebra

Q: f(x) = -2x² + 7 7x 10 - if x ≤ −1 if x > -1

A:

Q: f(x) = = -2x² + 7 7x - 10 if x -1

A:

Q: Sam makes $25.00 per hour. He gets paid time and a half for overtime. He gets paid every week. He…

A:

Q: 4) Activity 5: Check for Understanding (10 mins) A. Obtain the general solution of the given…

A:

Q: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

A: Imagine you want to enclose a field in the shape of a rectangle with a semicircle on one end. If you…

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

A:

Q: MATH401 Question 3|- functions and numbers A. Prove that cos-¹(-x) = π cos-¹(x) for any real number…

A:

Q: 0.5 for A mortality table is defined such that¸p¸ ={1— x100. Calculate the complete expectation of…

A: Answer is 40.

Q: Determine the general solution of each of the following equations: (a) y" + 2y' + 5y = 3sin2x

A: a) Given:         y''+2y'+5y=3sin2x         5yx+2ddxyx+d2dx2yx=3sin2x This differential equation has…

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

Q: Consider the function f(x) = 4 − 2x² on the interval [ – 2, 3]. Find the average or mean slope of…

A:

Q: -6-5-4-3-2-1 6 I 4 3 2 L -2 -4 -5 T 2 3 4 5 6 X

A:

Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction

Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

A: The given differential equations A) y''=12x2 B) dydx=4x2-1 use the integration formulas,…

Q: Question 4 Use Laplace transforms to solve the differential equation: d²x di 2 + 4x = cos(21) where…

A: Topic:- application of integration and differential equations

Q: ✓ ["1 [™ f(a)da - [* f(x)dx = - Sª f(x)dx and b where a = If what are the bounds of integration for…

A:

Q: - -5 -4 -3 -2 1 - 1 y 5 3- N 1- 1 -2H -3- 1 2 3 4 5 X

A:

Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

A:

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Given: ∫05|10x-5|dx

Q: Let f(x) x³ + 6x² 36x +11. = (a) Use the definition of a derivative or the derivative rules to find…

A:

Q: The graph below is the function f(x) -5-4-3-2 Find lim 4 3 02 1 82 -2 -3- -4 -5 2-1- Find lim Find…

A:

Q: 4. Which of the following functions grows at the same rate as ex as x goes to infinity? ex+3 e3x e2x…

A: We find which of the following functions grow at the same rate as ex as x goes to infinity: (1) ex+3…

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: What are the associated roots forR (x) in the differential equationy''- y = R(x) where R(x) = 4cosx?…

A: Given differential equation:- y"-y = R(x) Where R(x) = 4 cosx

Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

A: Given data:- the double integral, ∫∫R11+x2+y2 dA R is the region y=0, y=x, and  x2+y2=4

Q: What is the radius of convergence of the series R=2 b. R=1 R = ∞ d. R=0 a. C. +∞ xn n+1 -?

A:

Q: 1. x²yy' = ey =

A:

Q: f(x) 3. What does lim = 0 show? X→∞ g(x) O g(x) grows faster than f(x) as x goes to infinity. Of(x)…

A: The given limit is limx→∞fxgx=0

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A:

Q: so xe x dx

A:

Q: Use Mathematical Induction to prove the following. 1 Show that 1+4+7++(3n − 2) + (3n − 2) = n(3n-¹),…

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Differentiate the following function. You do not need to simplify the derivative. F(x) = 4e²² F'(x)…

A:

Q: Evaluate the definite Integral. Use a graphing utility to verify your result. [² (u - ) du

A:

Q: 8. A trapezoid has its vertices at (0,0),(a,h), (a + b1, h), (b2,0), with all the letters denoting…

A:

Q: If f(x) = (t + 3)e' dt, on what interval is f increasing? (Justify your answer)

A:

Q: Let f(x) = x¹ - 50x² 3 (a) Use the definition of a derivative or the derivative rules to find ƒ'(x)…

A: "since you have posted a question with multiple subparts,we will solve first three subparts for…