7) For each set of parametric equations, eliminate the parameter and find a corresponding rectangular equation: X=3 - 7 cos t y = 12 - sin t

Q: 8. Given the following information, sketch a continuous graph of r(x) as accurately as you can on…

A:

Q: Solve the system of differential equations.

A:

Q: 4. The complex numbers u and v are as follows: u = 3cis(1.234) and v = 2cis(2.415). Write the…

A:

Q: (cos(x)) dx cos(c) 3.

A:

Q: y 4 (2, 4) y = 2x ソニx? Using a vertical element of area, the area of the shaded region is given by…

A: The objective of the question is evaluate area bounded by the given function and use the vertical…

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

A:

Q: y y =x - 4 y =/2x + 8 4 6 10 x -2- -6+

A: Area bounded by the curves :   If f(x) and g(x) are two continuous function on a,b and f(x)≥g(x) on…

Q: help

A: We will solve the Differential equation.

Q: solve with complete solution, tell whether the improper integral is convergent or divergent

A: Yes the improper integral is convergent. see below the answer and calculation

Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: The letters r and 0 represent polar coordinates. Write the given equation using r-4 cos 0 Complete…

A:

Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

A:

Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

A:

Q: F(x) = e2x C = 0

A:

Q: long

A: We will use long division method.

Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: Use the integral test to determine the convergence or divergence of the series. 00 cos 1/k 21) E k2…

A:

Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

A:

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L<1 then…

Q: 1000 V(x) dæ. Be sure that you can explain in words the meaning of this integral. What are the units…

A: Given:-unit of V(x) is decibels/minunit of dxchange in x  is m

Q: Find the standard form for the TANGENT PLANE to the surface: : = f (x,y) = x cos (xy) at the point…

A: The given function is  z = f(x,y) =x cos(xy)

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. :- F(x) = (t + 8t – 4) at F(x)…

A:

Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: 12. A force of 170 N is applied to move an object 90 m horizontally. If the force is directed 33°…

A:

Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

A:

Q: d d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly…

A:

Q: Solve  x * (dy/dx) – x6ex = 4y

A: on solving this we will get :-

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: Find the direction angle of v for the following Vel v = - 6i- 3j What is the direction angle of v?

A: On solving this we will get

Q: dx The integral of the given function ſ is equal to (x²–2x+4)ž а. 1/4 b. 1/5 с. 1/6 d. 1/3 e. None…

A: A detailed solution is given below

Q: 71 dt Find F (x) and F (-2). 14. Consider F(x) .Co 1+t5 EGO

A:

Q: 9.

A: Given,  y=2x+x4-9x+3

Q: d²y Q2: find of the following statement dx2 a) y = xcosnx b) y = In x3 + ex + cot x

A:

Q: Evaluate the defınite integral. i+e"j+t k)dt O el2 12-( - 1) + O el2 – 1 i+ (e-' – 1) j + k el2 – 1…

A: ∫01e12ti + e-t j + t kdt=e12t12i -e-t j + t22 k01=e12112i -e-1 j + 122 k-e12012i -e-0 j + 022…

Q: csch 3x – 5 [3х — 10. dx V3x – 5

A: 10) To evaluate: I=∫csch43x-53x-5dx Substitute 3x-5=u⇒123x-5(3) dx=du⇒13x-5dx=2du3 ⇒I=∫csch4u2du3…

Q: A student is speeding down Route 11 in his fancy red Porsche when his radar system warns him of an…

A: Solution: (a)time since brakes applied (sec)   0     2     4     6      8       10    speed(ft/sec)…

Q: Evaluate the directional derivative Duf (3, 4) if ƒ (x,y) = /æ² + y² and u is the unit V vector in…

A:

Q: 1 dx x(x3000+1)

A:

Q: Find div F and curl F if F(x, y, z) = xªi – 2j + yzk. div F= curl F=

A:

Q: Now, find the

A:

Q: Find lim, x4x+3 X-5x+6 X-X

A: Given query is to find the limit of the expression.

Q: 22. Suppose the velocity of a particle moving on the number line is given by v(t) = 61² – 4t for…

A:

Q: Given line M=-ax+ by+ c, b+ 0 What is the y intercept of the function? C-M -M-C OM-c

A:

Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

A:

Q: 3. Check Euler's Theorem for the function f(x, y) = x + y3 + 3xy2.

A: Euler's Theorem for the function :          x∂f∂x+y∂f∂y = n.f(x,y) ; where , 'n' is the degree of…

Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)3 Σ 00 f(x) n =…

A:

Q: f(x)=/1+2sin x j. f(x)=e" +4* +sinh(10x)

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A: