Find

Q: f and g are continuous functions such that g(2) = 6 and lim x→2 [3f(x)+f(x)g(x)] = 36. Find f(2).

A:

Q: Expand with binomial formula (a-x)5

A:

Q: 1. fx² sec x³ tan x³ dx

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

Q: (b) Evaluate the integral J x + 3 (4-5x2) 3 dx.

A:

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

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

Q: Evaluate the integral: ³√1 + 100x² da

A: Need to find out the integration.

Q: Use the graph to find the limit. See Examples 1 and 2. (a) lim f(x) x-1 (b) lim f(x) X-4 y (1, -3) y…

A: Graph of the function is given, we have to find the limit at given points.

Q: The family of circles with center on the line y = 3. A B Ⓒ D 1+ (y − 3) y ''+ (y') ²=0 1+ (y - 3)…

A:

Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

A:

Q: 5(4) + 3y(3) = 0

A: Let's solve given differential equation.

Q: A differential equation is an equation A that contains a derivative like y'(x) as well as the…

A:

Q: Find the Domain and Range for y= 1 1-√5-x

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 13) 16) x2/3 x + 1 x³ x² +1 dx dx

A: Given data:- 13) ∫x23x+1dx 16) ∫x3x2+1dx

Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

A:

Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

A:

Q: 55. + -3 -2 -1 2 O -1 y -2 1 2 3 Graph of f' Let f be a differentiable function with f(1) = 3. The…

A: Let f be a differentiable function with f1=3. The graph of f', the derivative of f, is shown below.…

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

A:

Q: 3. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

A:

Q: 2+2x-1 dx x³-x

A:

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A:

Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1. Find the…

A:

Q: 33. m -3 -2 2. O -1 1 -2+ Graph of f' +2 3 Let f be a differentiable function with f(1) = 3. The…

A: The function f is differentiable with f1=3. Graph of the derivative function of f is given.

Q: Prove that: B(x+1; y ) + B (x₂y + 1) = B(x,y) let (x+1)= X5 (X)

A:

Q: Find high order DE 6. (D4-5D² - 36)y = 0

A:

Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: Eliminate the arbitrary constant. + c₂2e²x y=c₂₁e 1 A B C D -X y"'-y'-2x = 0 y"-y'-2y=0 2y"-y'-2x=0…

A: The given equation is: y=c1e-x+c2e2x...(1) To eliminate the constants c1 & c2.

Q: Find a,b to continue the function at x=3 if: ax + b f(x): = 2ab + 1 bxa + 3 x > 3) x = 3 x < 3)

A:

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan² x, when x →0. Using the Sandwich…

A:

Q: Suppose F(x, y) = 9 sin() sin() - 9 cos( - and C is the curve from P to Qin the figure. Calculate…

A: Given that , F→x,y=9sinx2siny2i^-9cosx2cosy2j^      ......1 and the labeled points are P=3π2,-3π2 ,…

Q: 3. A function f(x) satisfies the inequality 1-<f(x) < 1 + tan²x, when x →0. Using the Sandwich…

A:

Q: List the x values of the discontinuities of the function below: y = In (tan²(x)) over the interval…

A:

Q: Need this in complete and handwritten solution, thank you! 3. Solve for the Homogenous Differential…

A: Ode

Q: The point P(1, 0) lies on the curve y = sin( 13 (a) If Q is the point (x, sin(¹3″ )), find the slope…

A: Note :- “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

A:

Q: f In dx

A:

Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: plane

A:

Q: For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint…

A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

A:

Q: Find an expression for a cubic function f if f(5) = 60 and f(−1) = f(0) = f(6) = 0.

A:

Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

A:

Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

A:

Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours…

A:

Q: Prove the identity. sin (x-y) = tanx-tany cosx cosy Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: A V(t) = -1,700t + 32,000; value after 5 years = $23,500

A:

Q: Prove that B(x+1, y ) + B (x₂y +1) = B(x,y) let M(x+1)= X(X)

A: Here is the solution:

Q: 3 3. y' for y² = x²y³

A: to find out the derivative