Find the value of (5a² – 6)da

Q: dy 5. Solve the differential equation = 7xy3 if y = 0.5 when x = 2. dx

A: Given query is to find the solution of the differential equation.

Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

A:

Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

A:

Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

A:

Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

A:

Q: Section 1.9 In Exercises 1-3, find the general solution of the differential equation specified. dy…

A: First order differential equation : Consider the first order differential equation…

Q: (d) 10*+3 = 62r

A: Given,  10x+3=62x

Q: Evaluate the integral. HINT: [Use a shortcut.] e 8x - 1 dx

A: Using substitution ,

Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

A:

Q: 5 3 + s2-8 s2+ 3.

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Find the area of the region under the graph of f on [a, b]. f(x) = x2 - 8x + 20; [-1, 2]

A: The detailed solution is given below Thank you

Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

A:

Q: Police use the formula: v = /20L to estimate the speed of a car, v, in miles per hour, based on the…

A:

Q: 4. Find the exact value of the expression. (a) 10log 36 (b) In e3

A: Explanation of the answer is as follows

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

Q: 2. For the parametric curve defined by: x(t) = t2 + 4t + 2 y(t) = t³ + 2t2 + 4t + 1 (a) determine…

A:

Q: e Newton's method to approximate a root of the equation 5x+ 7x +3 = 0 as follo 1 = -1 be the initial…

A: answer is in next step

Q: For the polynomial -1/2x(3x + 1)*(x - 10)², find the following: a) the end behavior of the graph…

A: Given:    P(x) = --1/2x ( 3x + 1 )4 ( x - 10 )2

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

A:

Q: 8- Prove that lim,. -7 (5x – 32) = 3 using the formal definition of the limit. (choose e and 6 )

A:

Q: x cosy dx + cos?x

A: We have to choose the correct option from the given options according to the given information

Q: 6x7 – 5Vx + 3x + 4x-2 dx

A:

Q: Determine whether L'Hospital's Rule applies to the limit below, then evaluate the limit 33 – 2x +5…

A: Given query is to find the limit.

Q: Evaluate the limit tan x lim z0 2x

A:

Q: f(x,y) = 2y3–3y² – 12y+2x2 – 4x+2.

A:

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

A:

Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Describe the graph of the equation. r = -6i + (1 – ²)j+ t k O It is a parabola in the plane z = -6,…

A: Let's find.

Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: 15. Indefinite Integrals (Part 1) а) -+ cscxcot x dx 2 cosx--sinx+4csc². 3 b) 1 + sec² x dx 1+x2 c)

A: topic - indefinite integral

Q: 4- Find lim,: ( -) 10 20 (You cannot use numerical table method). tan(2)-1 tan?(2)–1)

A:

Q: dy 5. -2ty + 4e-t² dt y(0) = 3

A:

Q: Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) =…

A: The unit tangent vector T→t can be defined as the unit vector in the direction of the velocity…

Q: n? n5 +2 n=1 WI

A:

Q: p3n+1 h(r) Σ-1)" , (п +1) 4m' n=0

A:

Q: Find the surface area revolve about x-axis at y = x³ from 0 < x< 2 98TT Answer: -sq. units 81

A: The curve y=19x3 from 0≤x≤2 revolved about x-axis.

Q: dy Suppose ax 3x + 1 ) /(3 x² + 2x) 1) V(3x2 + 2x ) and y(0) = 1. What is y(5)? O 364.327 264.227 O…

A:

Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

Q: is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}.…

A: Let's find.

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

A:

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: 7 5 5. sec '(In t) tan° (In t) dt t

A:

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

A:

Q: Differentiate the following functions: i. v = 15/7(12/7+ 3t) (2x – 9) f(x) = x + 4 ii. iii. y =…

A: We can solve this as follows:

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A: