QUESTION 8 Sin-1(cos 4 x2) at x = 1 is dx (Enter the numerical value in the blank) QUESTION 9 Given x3+y3=3x+3y and 5, find dt when x = 7 and y = 4. rionl ualue correct to3 decimal places.

Q: Solve the logarithmic equation for x. (a) log(2x) = 3 (b) log(x + 1) + log 2 = log(5x) (c) 5 In(3 – ...

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...

Q: Please solve  it fast

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Q: for the following func tion 2= 22メ - log。メ + 4"+ e?7. dx calculate differential dz when X is increas...

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Q: consider an angle that measures 5pi/4 radians. sketch the standard position

A: For the given angle  5π4 standard position of the angle is sketched as shown below

Q: please show steps

A: first we will differentiate the given functional equation to find the derivative of the function and...

Q: For the given function f(x) and the given values of c and e> 0, find L= lim f(x). %3D Then determine...

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Q: Find dwdt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before...

A: (a)

Q: Find the general solution of the differential equation

A: We have given differential equation drds=49r We have to find general solution of differenial equatio...

Q: Solve the system of equations by any method. -4x +32y 12 x- 8y= -3 Enter the exact answer as an orde...

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Q: (a) Find all values of tt for which the curve given by x(t)=2t^3-3t^2+5t,\ y(t)=3t^3+2t^2-4x(t)=2t3−...

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

Q: 1 y Let A = [1 1 2 0. and %3D -1 2 B = -1 0 Find 1 3 W AB

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Q: Convert 9 1/4% to a decimal. Enter all the decimal places including the leading zero.

A: Given,         914%

Q: plot the function and use the graph to estimate the value of the limit.

A: Given: y=limx→02x-cosxx we know that graph of given function can be drawn as below

Q: Use a system of linear equations with two variables and two equations to solve. 185 students enrolle...

A: Let the number of passing students be x and the number of failing students be y. The total number of...

Q: Use cos 210° = -√3/2 to find the exact value of cos 105°.

A: Use cos 210° = -√3/2 to find the exact value of cos 105°.

Q: Find the slope of the given line y=-6/5x -8 m=

A:  slope of the given line isy=-65x -8m=?

Q: Find the value or values of c that satisfy the equationƒ(b) - ƒ(a)/b - a = ƒ'(c)in the conclusion of...

A: We have fx=lnx-1 ,   2,4 Since, fx is differentiable on 2,4 and continuous on 2,4. Thus, both condit...

Q: B

A: 23 b. Consider the parametric equation x=t+3t and y=t2-4t. Differentiate x=t+3t with respect to t an...

Q: Find the limit limx→1x11−x.

A:  Given that limx→1(x11-x)We need to find the value of limit

Q: State whether the given differential equation is linear or non-linear, ordinary or partial. Identify...

A: Consider the differential equation  y'+y=x2−2             ......(1)    

Q: Find the area of the region described in the following.  The region bounded by y =  6x and y = 3x2 -...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Find two values of θ, 0 ≤ θ < 2π, that satisfy the equation cos θ = 1/2.

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Q: Use the matrices below to perform the indicated operation if possible. B = 10 6 C -5 If the operatio...

A: Given: The matrices are B=-106-52 and C=0971.

Q: 1.Choose two interesting and original integers a and b, as well as an interesting positive integer r...

A: Let us take (a,b)=(2,3) and r=7So the equation of the circle is:(x-a)2+(y-b)2=r2 (x-2)2+(y-3)2=72 (x...

Q: dx The coordinates of a particle in the metric xy-plane are differentiable functions of time t with ...

A: Given:          dxdt=-5 m/sdydt=-2 m/s Distance of a point (x,y) and the origin is calculate by;    ...

Q: Find the indefinite integrals (most general antiderivatives). You may need to try a solution and the...

A: Consider the integration can be written as I=∫csc2x cot2x dxorI=∫1sin2 xcos 2xsin 2xdxI=∫cos 2xsin22...

Q: 2. 2 sec(3r +5– 27) + sec(67 m 3r-5) = 7

A:   Definition used -                     sec(nπ-θ) =secθ , If n is even.                      secθ= 1...

Q: 1. If y = In(V x² +1 ) , then y' = 2x (b): 2x (a) x² +1 3(x2 +1) () 3(x2 +1)-2/3 (d) 3(x2 +1)

A: y=lnx2+13⇒y=lnx2+113⇒y=13·lnx2+1   ∵lnxy=ylnx

Q: EXAMPLE 3 Flight of an eagle An eagle soars on the ascending spiral path C: r(t) = (x(t). y(t), z(t)...

A: Flight o010f the eagle or the distance travelled by the eagle is given by the equation - C = x(t), y...

Q: Find the Least Common Denominator (LCD) of : (x + 2) / (2x - 3) and 4 / (x + 3).

A: x+22x-3 and 4x+3Least common denominator is the product of the denominators, if the denominators are...

Q: r(t) = ⟨ 4 + t2, t, 0⟩

A: Given position vector is rt=4+t2,t,0. Obtain velocity vector. vt=r't=4+t2,t,0'=2t,1,0 Obtain acceler...

Q: Please help write neat!

A: Given that A square is to be cut from each corner of a piece of paper which is 8 cm by 10 cm, and th...

Q: Q1. Sketch the curves in polar coordinates. (a) r = 4 – 4cos0, (b) r² = 9cos20

A: (a) The given equation of the curve is r=4-4cosθ. Sketch the graph of the given curve using a graphi...

Q: I need help with the following. Thanks

A:  Since you have asked multiple questions in single request so we  will be answering only first quest...

Q: 1.Choose an interesting number α that is not an integer such that 0 ≤ α ≤ 2. .(a)  Draw a picture...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Solve the following first order DE. 3. y' + 2y = y?

A: We have to solve the first order differential equation: y'+2y=y2 Rewriting the above equation, y'+2y...

Q: Enter DNE If the limit or value does not exist. If you are having a hard time seeing the picture cle...

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Q: Find a power series representation for the function and determine the interval of convergence. f(x)=...

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