Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money into a bank account that pays annual interest of 10% compounded continuously. What will be the balance of the account in 2 years?

Q: Find the particular solution that satisfies the differential equation and the initial condition. f'(...

A:

Q: In the rectangular prism shown below, OA=a, OC =b and oD =c. Express each of the following vectors i...

A: We have to write following side of cube in vector form on the basis of given vector.

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: A telephone line hangs betweenn two poles at 12 m apart. In the shape of the catenary y = 50 cosh -4...

A:

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: 7T then 6. If 0 = sin(0) = cos(0) = COS %3D

A:

Q: s² -a² Find the value of r' at s = 2 S* +a | 2a if r(s) = %3D

A: Find your answer below 

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A: We know that Rolle's theorem , If y=f(x) is real valued function of real variable such that, (i) f(x...

Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1, ...

A:

Q: O Evalunte

A: We will evaluate the double integral. 

Q: Angle A has a measure of 11 Gips. Since an angle making a full rotation measures 15 Gips and Angle ...

A:

Q: A series is the sum of the terms of a sequence. To indicate the sum, we use sigma E notation. Write ...

A: Solution:Given geometrical series1+3+9+27+81+ ......1+3+32+33+34+.....∑3nn=0∞

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: Solve the following initial value problem. y6) -2y" +y' 3 + 7x e*; y(0)=y'(0) = 0, y"(0)= 1 The solu...

A:

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: Evaluate , (5"3-). Write fractions as an improper fraction a/b. %=D1 fit does not converge, write "I...

A: We will evaluate the series. 

Q: 700 find the following. For the demand function q = D(x) = a) The elasticity b) The elasticity at x ...

A:

Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(2,3, 1). NOTE: Enter the exac...

A: Given

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If i...

A: Explained below 

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2 a...

A: We need to calculate the volume.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given Edit 1 by the vectors u, v a...

A:

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

A:

Q: 2. In each figure, congruent parts are marked. a. List down the given congruent parts. b. Give addit...

A:

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: We will find the rate of change of the future value. 

Q: [(x²-4)(12z–z')' dz

A: Given,            ∫z2-412z-z34dz

Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 & R4,5,1 To find Area of triangle PQR

Q: If f(4)= 3 and f'(4) = –5, find g'(4) when g(x)=² (4) Your answer

A:

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: 24 xp-

A:

Q: b) Show that y = 2sin (2x) is a solution to the differential equation: - 64 =0

A:

Q: The equation r(t) = (3t + 9) i + V5t) j+ (2t) k is the position of a particle in space at time t. Fi...

A: This is a combination of vector and application of derivative problem

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A:

Q: For the following exercises, find all points on the curve that have the given slope. 71 x= 4 cos t, ...

A: Given query is to find the points where slope is 0.5.

Q: A complex numbers is a symbol x + jy, where x and y are = -1. numbers and i^2 rational O real O irra...

A:

Q: Find the area of the parallelogram that has u = i – 2j + k and = 3j + 2k as adjacent sides. NOTE: En...

A: Area of parallelogram with adjacent sides u→ and v→ is defined as u→×v→

Q: Consider the following limit. 6x2 + x - 1 lim x - (-1/2)+ 10x² - 5x - 5 Simplify the rational expres...

A:

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the ...

A:

Q: 6. y' – y = e* 8. 4x'y + x*y' = sin’x %3D

A:

Q: The radius of a circular disk is given as 26 cm with a maximal error in measurement of 0.4 cm. Use d...

A:

Q: (6w+12w") /w +w° dw

A: Given: I=∫6w-4+12w-7w-3+w-64dw So, we can also write as: I=∫6w-4+12w-7w-3+w-64dw=∫6w4+12w71w3+1w64dw...

Q: - tan²(x) sec5 (x)

A: Given query is to find the value of the integral.

Q: (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =

A:

Q: 8. The graph of the function y=-x(x- 1)(x+2) begins in quadrant 9. The graph of the function y =x(x-...

A:

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: We have to check weather the given graph is continuous but not differentiable.

Q: DO NOT include spaces in between characters. * Compute (x' + 2x)* Со at x=-1. 15 Your answer

A:

Q: Write an equivalent first-order differential equation and initial condition for y. y = 2- |(5+ y(t))...

A: Find your answer below 

Q: For items 8 & 9, express the complex number in rectangularform. 8. 4 cis - A. 1+ iv7 B. 2+i 2V3 C. 2...

A:

Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

A: