10. Find the value of $1000 deposited in a bank at 8% interest for 10 years compounded: a) quarterly b) continuously.

Q: 2. Determine whether the series (a) Converges 00 (b) 5 3/2 converges or diverges. Diverges

A: need to find out the the series converges or diverges.

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: solutions:-x2+xy-y2=11differentiate both sides w.r.t  xddxx2+ddxxy-ddxy2=ddx112x+y+xdydx-2ydydx=0at…

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: Given ysin(x)-xy2=c

Q: Using Limits, find the instantaneous rate of change of the following function: f(x) = 2x^2 - 16x +…

A: Topic - Instantaneous rate of range of function using limits We are given,…

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

A:

Q: D The region D above can be describe in two ways. 1. If we visualize the region having "top" and…

A:

Q: Find the volume of the solid that lies above the cone p= 12 cos(p). 1 3 and below the sphere

A: Given:- Cone ϕ=π3 Sphere ρ=12cosϕ

Q: PS #1 9. A ladder 10 ft long rests against a vertical wall. Let 0: angle between the top of the…

A: A ladder 10 ft long rests against a vertical wall.Let θ: angle between the top of the ladder and the…

Q: (2, 4) & (3, 5) xy xy -1 −1 Slope in context 4 − 5 2-3 || 1

A: To find the slope with given points.

Q: kite 100 ft above the ground moves horizontally at a speed of 2 ft/s. At what rate (in rad/s) is the…

A: We will find the required.

Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: 3) Solve the following logarithmic equation 1 1 + ((x+1)= 5

A:

Q: Answer the question. Does lim1 f(x) exist? If it does, find the limit. [-x²+1, -1<x<0 4x, 0<x<1 f(x)…

A: To find the limit of the piecewise function

Q: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

A:

Q: Find the derivative of the function y = -7-5x. dx =

A:

Q: Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR…

A: Topic - Derivative of a function We are given, f(x)=1+x4-1x53formulas used:chain…

Q: Car A travels at an average speed of 65 miles per hour. Car B travels at an average speed of 55…

A:

Q: 4y³ (x²+4) dy + 4xy+ = (x² + 4) ² dx

A:

Q: Problem 6e. Practice. Find the Derivative of the following function: F(x)= C08 (2x) Le-Sin (2x)…

A: Given query is to find th derivative.

Q: Solve the corresponding differential equation given the general solution via elimination of…

A: need to find out the correct differential equation.

Q: Evaluate te F. dr. F(x, y) = xi+yj C: r(t) = (9t+4)ī + tj, Ostsi

A:

Q: 10. Find the Taylor polynomial P4 for f(x) = In x at xo = 1. (a)_1+ ²(x-1)=(x-1)² + ²/(x-1) - 1 4 5…

A: Given f(x)=ln x    x0= 1we want to find taylor polynomial P4(x)

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

A: Concept: The thermometer temperature is represented by T and room temperature by Tm Now at time  t=0…

Q: Sketch the graph of a differentiable function y=f(x) through the point (3,3) if f'(3) = 0 and…

A:

Q: mine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does…

A: Given query is to find sequence converges or diverges .

Q: 3. Evaluate the determinant. 24 | a. 22 b.-12 c. -2 d.-18. e. -4

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

A:

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A:

Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: 4 2 -5 -4 -3 -2 -1 -2 -4 -6 -8 -10+ 1 2 e function graphed above is: cave up on the interval(s) cave…

A: The function is concave up where -2&lt;x&lt;1.   The function is concave down where 1&lt;x&lt;5.

Q: 1. Consider the iterated integral (a) Sketch the domain of integration. (b) Change the order of…

A:

Q: Find the surface area of the part of the plane 5x + 3y + z = 2 that lies inside the cylinder x² + y²…

A: Plane: 5x+3y+z=2 Cylinder: x2+y2=4

Q: The graph of the function f(x) = x²2e-x/7 26.53+ 21.22 15.92 10.61 5.31 follows. 5 10 15 20 25 30 Q…

A:

Q: How many x-intercepts would the function shown below have? f(x) = (x² − 5)

A: given that,   f(x)=x2-5   how many x-intercepts would the function have?

Q: A dog food producer reduced the price of a dog food. With the price at $10 the average monthly sales…

A:

Q: An exponential function in the form y = Provide your answer below: b = 1024(6) contains the point…

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Q: Determine the horizontal asymptote of the function. If none exists, state that fact. 4x5 +5x³-4 6 3x…

A:

Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: radius=100mm radius=100mm

A:

Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Evaluate the following indefinite integral by making the appropriate trigonometric substitution. Be…

A:

Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A:

Q: Convert the Cartesian equation to Parametric

A: The answer is in step2.

Q: The parametric equations of lines L₁ and L₂ are as follows: L₁ x= 1+ 4t y=2+7t z = ½-5t and L₂: x= 7…

A:

Q: ԱՆ JS 12x + 3y² dA R es x = y² and x = 9.

A:

Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

A:

Q: Find an equation of the tangent plane at the given point: F(r, s): - (27²+¹), (-2,1) N ==

A: Given function:- Fr,s=-2r2s0.5+1s4

Q: q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit,…

A: Given query is to find marginal profit function and marginal profit

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: a) Given:     The dimension of the cardboard is given as:      Length=41 ft      Width=22 ft Assume…

Q: Question 5 Indicate if the function represents exponential growth or exponential decay. y = 95(0.3¹)…

A: