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Q: The fox population in a certain region has an annual growth rate of 4 percent per year. It is…

A: topic -exponential function

Q: Write the general equation for the circle that passes through the points: (1, 7) (8, 6) (7, -1) You…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: Find the area in the first quadrant bounded by y=4x-x² and the x-axis

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Q: 73 dx

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: dy Differentiate implicitly to find Then find the slope of the curve at the given point. dx xy-3x-8=…

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Q: FinD THE arza BOUNDED By THE CURVES : y° +y +Z %3D

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Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

Q: A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 48 in. and the…

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Q: 4. 7 [fx)dx = - 7, r(x)dx = -7, and = 7. Use these to complete parts (a) through (f). The functions…

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Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

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Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: 1. Each of the following limit expressions correspond to a limit definition of the derivative of a…

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Q: S cos³ 3x dx со

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Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

A: Given query is to find the cost function.

Q: 2. (6x-2) dy d2

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

Q: Find the average value of the function f (x ) = in the interval %3D [1, 4] Express your answer as a…

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Q: 10 15 -10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse Preview…

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Q: Evaluate the definite integral. ra?/3 xVx6 + a2 dx (a > 0)

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Q: If the slope of the graph of f (same as slope of tangent line to graph of f), at the point (1, 2),…

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Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: 2. What is the area of the circle if the diameter is 48 m? 3. The wheel of the car has a radius of…

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Q: Find Duf at P. f(x, y, z) = 6x°y°z*; P(1, – 2, 1); u = i %3D Duf = i

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Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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Q: Let p= -x - 2x + 20 be the demand function, where p is the unit price of a certain commodity, and z…

A: We have to find the quantity and consumer surplus.

Q: d d Calculate ri(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: We have to find derivative

Q: 3. Consider the graph of y = ln (x) + 1. Calculate the area enclosed by the curve y= ln (x) +1 and…

A: The region is bounded by y=ln(x)+1 and the y-axis between the lines y=1 and y=2

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) z = 2x + y…

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Q: [3 Compute the matrix exponential e4t for the diagonal matrix A =

A: Given,  A=3004

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: 1. Ihe rodius of a circle is 9 centimeters. What is the area? 2. The diameter of a circle is 12…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: graph of (x- 1) + (y - 4)2 = 1 is shown on the right. Use implicit differentiation to find the…

A: Given query is to find the slope of the tangent at x = 1.8

Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

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Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

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Q: Where should the point P be chosen on line segment AB so as to maximize the angle 0? (Assume a = 3…

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Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: 2. Evaluate each limit, if it exists. Show all reasoning. 2-Vx-3 4+x a) lim エーキー4 b) lim c) lim l X…

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Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

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Q: 6. Let u = (1, 0, 2) and v = (2, -2, 1). 6.1. Determine 2 u-3 v in component form. 6.2. Find a unit…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: r(t)=cos(πt)i-ln(t)j+t-12kDomaincos function takes all values  ie  -∞,∞logarithmic function takes…

Q: The graph ofr sec 0 = 4 is the graph of a circle. True False

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Q: (a) Shift it to the right 2 units. Denote the function that results from this transformation by fl.…

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Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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