1. Using the fact that n(n + 1) Σ k=1 find x³ dx using Riemann sums.

Q: (x +Jy?+1) dx x-(y- dy = 0 り*+1

A:

Q: Evaluate 2 sin² x cos³ x dx 0,

A: Given that: ∫0π2sin2x.cos3xdx

Q: ху (x+ Vy² + 1)dx – (y - dy = 0 2+1 4.

A:

Q: 3. For each of the following functions, determine whether it is one-to-one, onto or one-to-one corre...

A: Solution is here

Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

A:

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

A:

Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload ...

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the tange...

Q: 2 (2xy t Hy-3) dx + (x +2J°dy =0

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

Q: first

A:

Q: Solve for the constants of the integration and the general form of the equation.  Find f(x) if f′′′...

A:

Q: 1. Eliminate the arbitrary constants: x2 y2 Find the solution. a2 b2 1

A:

Q: ху'- у - 5х1 — Зх? + 2х %3D 0

A:

Q: A multiunit mixing process consists of two tanks T1 and T2. Ten (10) gal/min of pure water is pumped...

A: The system can be shown as the following compartment model: The result to be used is  Rate of chang...

Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

A:

Q: Which of the following sequences are convergent sequences? Select all that apply. 7" O an n7 1 O an ...

A: sequences are given, we have to find the convergent sequence

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

A:

Q: Express the function below in rectangular form, (-1+i)-1+i

A: z = -1+i-1+i                                                                         1z = -1+ii-1+iz...

Q: 8. The diameter of a circle is to be measured and its area computed. If the diameter can be measured...

A: I am attaching image so that you understand each and every step.

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

A:

Q: 15. You are given the following two planes: x+4y – 3z– 12 = 0 x+6y-2z-22 =0 f) Find a third equation...

A:

Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin (...

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

Q: . Evaluate ry² dA, where D = {(x, y) | sin r < y s 1/2,0 <S7/6}.

A:

Q: A cross section of a parabolic mirror used in this type of parabolic solar collector can be modeled ...

A:

Q: 7. Find the DE of all circles touching the x-axis at the origin. 8. Consider the initial value probl...

A:

Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

A:

Q: How could I solve this using shell

A:

Q: In problems 1-8 find the least order DE which has the general function as its general solution: 1. y...

A: I am attaching image so that you understand each and every step.

Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+ y...

A: Using method of exact differential equation.

Q: For the following exercises, use the vertex (h, k) and a point on the graph (x, y) to find the gener...

A: 46. h,k=-2,-1, x,y=-4,348. h,k=2,3, x,y=5,12

Q: noitutitaduz ontemonoghtanie sin' x dxsldsinsvlenigito adi to amal cos x

A:

Q: 2. Find the equation of the tangent line to the parabola y = x² – 8x+9 at the point (3, –6)

A: Given y=x2-8x+9 Formula: dydx(xn)=nxn-1 dydx(k)=0, where k is a constant Consider y=x2-8x+9 Differen...

Q: y = x? + C,x + C2e¬*

A:

Q: 1. Let f(x, y) = sin(x² – y). Compute fry.

A: Given that: f(x, y)=sin(x2-y)

Q: x+3 4. S dx (x²+6x)²

A:

Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

A:

Q: Find the volume of the solid obtained when the region bounded by the line y = 2x, the line x = 3, an...

A:

Q: O 2. Choose the best answer. Find the area of the triangle to the nearest tenth square a = 17 inches...

A:

Q: 1 1. Solve v2(4") 8*+1

A: The solution are next step

Q: Evaluate the integral of * 4xV16 x2 using the new variable. а. 2/3 оБ. 256/3 c. 255/3 O d. 15/3

A:

Q: A certain electronics manufacturer is making GPUS for gaming laptops (GPU stands for graphics proces...

A: Given an equation which represnt margin cost of x GPUs

Q: Evaluate Ln(-5.3- j2.4) O 4.3143+ j1.0541 O 1.7610 – j2.7164 O -1.2232+j1.9883 O -2.6170 - j3.5246

A: First express the given rectangular point into polar form then using following identities find the U...

Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)...

A: Using derivative formula.

Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

A:

Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: O Q 14. Choose the best answer. Find the value of the remaining side of the triangle a = 11, 6= 6, C...

A: Given :   a=11 b=6 C=14 degree

Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: Obtain the solution of the following differential equations. 6. ydx − xdy = y^2dy

A:

Q: y′ =x+1/y4+1 when x = 0, y = 0, Find the general and particular soln.

A: Given: y'=x+1y4+1   Use the variable-separable method to solve the given differential equation. Now,...

Q: cot *dx e2x +1

A: