1. ƒ(x)=x²- = x² - secx 2. w = ex²-x² + 4x 3. h(z)=In(2z)sin(2z) 3x² 4. y= √x² +1 5. y³ + 2xy = 3

Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

A:

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

A:

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A: As per bartleby guidelines we only give first question answers.

Q: 1. J(√sinx+cosx) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Determine the antiderivatives of the following functions: 1. f(x + 1)100 dx 2. f(x² + x) ¹0 (2x +…

A:

Q: > Previous question Find the first three nonzero terms of the Taylor expansion for the given…

A:

Q: Q4: A) For each of the following ,find fx fy fxx fy fyx and fxy 1.f(x, y) = ln(2x + 3y). 2.f(x, y) =…

A: According to the company rule we can answer only first question and rest can be reposted

Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: It is given that the radius of the semicircle increases at the rate of 0.5 cms -1 when heated.…

A: Given ,  The radius of the semicircle increases at the rate of 0.5 cm s-1 when heated We have to…

Q: 4) A projectile travels at a velocity of v(t) = 45-32t, where v(t) is measured in feet per second.…

A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: X        P(X) X. P(X) X-μ   (X-μ)2 (X-μ)2 .P(X)  0 0.1 0 - 2.2 4.84 0.484 1 0.2 0.2 - 1.2…

Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

A: We have to find the sign of a, b, c.

Q: Use Cartesian coordinates to evaluate JJJ² dV D where D is the tetrahedron in the first octant…

A: Given integration is evaluated.

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A: Solution: The objective is to find the derivative of the given function

Q: show that V(x, y) = x 'f (2x+y) is the genera Solution of : du 2X x av ах 1 ду

A: First, we find ∂v/∂x and ∂v/∂y  and substitute them in the given equation, if it satisfies the…

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

A:

Q: When solving ff(u)du = t - e³u f(u)du you obtain 1 A) f(t) 1-e³t t B) f(t) 1+e³t t C) f(t) 1-e³t 1…

A:

Q: Consider the following quadratic function. g(x)=3x² - 6x-4 (a) Write the equation in the form g(x) =…

A: This question can be solved using the concept of general equation of parabola.

Q: 4. Evaluate the double integral: So Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dx.)…

A:

Q: F = cos(x) Î+sin(y) ĵ+cos(z) k

A:

Q: IV. Evaluate: lim (x² + €¯²) (² - ¹ cs

A: We can evaluate the given limit by using the properties of  limits.

Q: 2cos^2(?) sin3? dx

A:

Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curves are y=x3 and y=x.   Now find the point of intersection between the given curves.…

Q: Question Using the definition of a derivative, find f'(x) given f(x) = -x³+4x² + 4x + 2. (Do not…

A:

Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)

Q: 5. Use the substitution method to evaluate So 3x²+2 x3 + 2x +37 dx.

A: Topic = Integration

Q: need

A: We will solve the problem.

Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

A:

Q: Consider the parametric curve: x = ln(t + 5) y = −6t5 Which integral gives the arc length of the…

A:

Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

Q: Find the value of t(5) if you are give t(3)=-1 and the non-recursive formula is given as…

A:

Q: 1-u y= 1+ u u=1-x²

A:

Q: Function h is graphed. h -4 -3 -2 L y 4 3+ 2- 1 -1- -2+ -3- 12 3 4 Find h(2) da. Give an exact…

A: This question can be solved using the concept of area under curve.

Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

A:

Q: Given g(x) = -10x-2 -5x-2' Provide your answer below: g'(x) = find g'(x) using the definition of a…

A:

Q: 5. In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

A:

Q: Stan77x dx

A: tan2x=sec2x-1

Q: Solve the following differential equation using the fourth-order Range-Cata method and find the…

A:

Q: 13. Use integration by parts to evaluate [x rlnrdr.

A:

Q: Find the area of the region enclosed by the curves y = 4 24 8 16 O O x³ and y = 4x.

A:

Q: Using exact Solution, find the general solution of the following differential equation: (cos2y -…

A:

Q: whats next the pattern 6 13 24 51 142

A: whats next the pattern 6 13 24 51 142

Q: Write down a differential equation of the form = ay + b whose ay dt all other solutions diverge from…

A: Here, the differential equation is of the form  dydt=ay+b⇒dydt=ay+ba⇒dyy+ba=a dt⇒∫dyy+ba=∫a…

Q: Find Df,Rf/f(x). X 3 √x + √ X

A:

Q: For the curve x+y-y=1 complete the following parts. a. Find equations of all lines tangent to the…

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

Q: 1) (hu) 07h =hx solve d ШF СП

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