Find the exact value of each expression. 1) cos (2) 3) cos 2. 5) sin¬1 –1 7) cos -1 11 9) sin1 11 11) cos 2.

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: Find the horizontal asymptote(s) of the function p(z) f (x) Va(z) where p (x) = 3x? – æ – 2 and q (x...

A:

Q: Complete the differentiation formulas a) d/dx(c)= b) d/dx(ax+b)= c) d/dx(x^n)= d) d/dx(1/x)= d)...

A: We have to find derivative

Q: S(x5 + 10)®x*dx 4 X.

A:

Q: (axy-ay) dx +( 3x'y - 4x) dy = 0

A:

Q: d (4z' +7z+8 2.)- dz Evaluating the derivative using quotient rule:

A: Given that ddz4z3+7z+8z Solution :using quotient rule ddz4z3+7z+8zzddz4z3+7z+8-4z3+7z+8dzdzz2z12z2+7...

Q: Find the volume of the wedge in the figure by integrating the area of vertical cross sections. Assum...

A: Solution: a=6, b=3, and c=4

Q: How could I solve this using shell

A:

Q: If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and tran...

A:

Q: Figure 1 below shows the region R bounded by the curves y 4x, y =-4x and the line y =2. Determine th...

A: Given that, There is a graph between two function y2 = 4x, y2 = -4x and y = 2. We have to Find the a...

Q: 16. 15. sin x cos (x/2) dx 18

A:

Q: Find the area of the surface obtained by rotatin the curve y = Va about the y - axis for 64 < x < 10...

A:

Q: Solve the differential equation with appropriate method. Finalize answer free o logarithms and radic...

A:

Q: S 2x/6-7x dx 6.

A: Using substitution method.

Q: Find the average value of f(x) = x² /57 + x³ 3 on the interval [0,4]. favg %3D Report answers accura...

A: Follow the procedure given below. 

Q: cot *dx e2x +1

A:

Q: 6. Statement 1: The number of students who are present in Filemon T. Lizan SHS for the first day of ...

A: discreate variable means countable variable and continuous veriable means uncountable variables. 

Q: find a standard equation of the line perpendicular to the line ax+by=c that passes throughpoint(xo,y...

A:

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A:

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

A:

Q: 6. In problems 1-2, solve /VP and BVP: Sy(0) = 1, ly'(0) = 1' 2. y" – 4y = 0, subject to : Assume th...

A:

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

A:

Q: A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoi...

A: Draw a free body diagram.

Q: Evaluate, thus Is 27- 5) Calculate the Taylor polynomials T2 (a) and T3 (x) centered at a = a of the...

A: Taylor polynomial is given as                                                                   Tn(x...

Q: find the equations of the tangent and normal to the curve expressed in parametric form at the point ...

A:

Q: 6. If f(x) = x³ - x, find and interpret f"(x)

A:

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

A:

Q: puc Find the interval where f'Ex) is concave up Xてーカ = (X) t

A:

Q: Find the average value on the interval 3, 6| of the function whose graph appears below. average valu...

A: Average value of a function f(x) over interval [a, b] is given by the following formula :-          ...

Q: Find the general (or particular) solution OI the differential equation beloW: (e + 2xe + x²) dx + (x...

A:

Q: Find the particular solution: (D² + 3D + 2)y = 12x²

A: Given thatdiffrancial equation D2 +3D+2y=12x2auxiliary equation is m2+2m+2=0i.e m+1m+2=0⇒m=-1,-2C.F....

Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm/s...

A:

Q: 4. Evaluate the limit of as e approaches 0. 2a A 2 B. % CO D. infinity

A:

Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

A:

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x^2+8 and g...

A:

Q: solve with Laplace transform with x(0)=0

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

Q: ху'- у - 5х1 — Зх? + 2х %3D 0

A:

Q: xdy − ydx = x^2dy, Solve for D

A: We can solve the DE as below

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is horizont...

A:

Q: A plane flying parallel to the ground at a height of 4 km passes over a radar station R. A short tim...

A: NOTE: Refresh your page if you can't see any equations. . here we have y=4 when s=5, s'=300 km/h

Q: +0+ dx 3. = TE 1+ x2 -00

A:

Q: dr Evaluate the integral: 3/2 49 - (A) Which trig substitution is correct for this integral? 1. sin(...

A:

Q: Evaluate S2 sin? x cos3 x dx

A:

Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x - ...

A:

Q: Find the area of the part of the first quadrant that lies between the curves x+y-3 = 0 and xy = 1.

A:

Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

A:

Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

A:

Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

A: