1. Evaluate the limit. lim √x²+1 X-00 3x+2

Q: |s sin³ 50 √ cos 50 de

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Q: Suppose that a fourth order differential equation has a solution y = -6e5* sin(x). (a) Find such a…

A: (b) General solution for this differential equation is

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A: Given,          The reproduction function for a whale is estimated to be                     f(p) =…

Q: Let f(x)= (7x-5)^4                (5x+2)^5 find f' (x)  Please answer ASAP and write neatly thank…

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Q: Consider the initial-value problem  y' = y, y(0) = 3. (a) Use Euler's method with each of the…

A: Given : Consider the initial-value problem  y' = y, y(0) = 3.

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Q: Find '(t), given r(t) r'(t) = = - - 4 -7t 6t? -3t 5' 5t²+1' 4t³ - 3

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Q: The answer above is NOT correct. Find the solution to the boundary value problem: (e^t) [cos (2)…

A: The given equation is; d2y/dx2-2dy/dt+5y=0, y(0)=1, y(pi/4)=5.

Q: #8 Sunday, October 23, 2022 8:55 PM Use shell method to write and evaluate definite integral that…

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Q: Consider the following equations. f(x) √x + 3 1 g(x) +3 Sketch the region bounded by the graphs of…

A: Let's sketch the graph of functions and find area.

Q: cos x x r² sin dr 1. f(x)= 2

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Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: (A) Eliminate the arbitrary constants. 4. y = C₁ + С₂e-4x

A: As per the instruction, we will be answering the first question by specifying it. For (4), Given:…

Q: I= d. h(x) = H= e. h(x) = I 7(x-6)(x + 7) 3x² + 5 Preview Preview (x-7)²(x + 10) (x + 13) x(x-7)(x +…

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Q: 1. Consider the curve given by xy² - x³y = 6. dy_3x²y-y² dx 2xy - x³ a. Show that = b. Find all…

A: Topic = Derivative

Q: Order One Differential E Solve the ff. DE Equation 1. xy' - 2y = x³ ce

A: We have to solve the given differential equation

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: 6. Write the equation 5² = 25 in logarithmic form. [A] log₂25=5 [C] log,25=2 [B] log255=2 [D] log,…

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Q: Classify the quadric surface. 2² = x² + 1/²/² O hyperboloid of two sheets O elliptic paraboloid O…

A: Given: So,           x2+y29-z2=0 and which is an equation of elliptic paraboloid.

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A: The velocity of the graph is increasing when the graph goes upwards.

Q: Particle Motion from Equation (Level 2) Oct 23, 8:53:22 PM A particle moves along the x-axis so that…

A: we will find the required.

Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

A: A sequence an is said to be monotone if it is either increasing (i.e., an≤an+1) or decreasing (i.e.,…

Q: Part II. Find the required derivative of the given functions. Show your solution and express your…

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Q: A pool shaped like the bottom half of a sphere is being filled at a rate of 22 cubic feet per…

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Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim sin (7x)-7x…

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Q: What would the revenue function be

A: As we see Demand function Dx=-0.095x+4.545

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

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Q: Consider the region bounded by the curve y = 27x − x4 and the x-axis.  Find the exact area of the…

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Q: You are stationary on the ground and are watching a bird fly by horizontally at a rate of 10 m/sec.…

A: Here we have to use the concept of derivatives

Q: Sketch the graph off and use your sketch to find the absolute and local maximum and minimum values…

A: We have to find the following conditions according to the given

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Q: Simplify as much as possible the expression for the product of functions h = f.g f(x) = x+2, g(x) =…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Solve the DE. (x³ + xy²-y)dx + (y³ + x²y + x) dy = 0 O arctan(‡)=C − x y O arctan (=) = C - x² - y²…

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Q: Consider the functions f(x) = x² and g(x) = 1-2x. Determine each of the following. 1. Form the…

A: Given f(x)=x², g(x)=1-2x

Q: Find the curvature of the curve r(t) = (4 cos(2t), 4 sin(2t), 2t) at the point t = 0 Give your…

A: The given curve is  r(t)→=4cos(2t), 4sin(2t), 2t

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Q: The sphere x² + 10x + y² + 8y + z² - 2z = 34 is centered at the point (a, b, c). Find abc, the…

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Q: The graph of a function f is shown below. 1 Suppose the function g is defined as g(x) f(x) =, we'll…

A: Note: - According to the company policy we can attempt only three subparts of a question so please…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ 50 √ cos 50 dº X

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Q: If x = f(0) cos(e) and y=f(8) sin(8) then the dy derivative with polar coordinates, where dx f(0) =…

A: Topic = Derivative

Q: 2. Solve the equations a. ( b. ( b. i ) e²x-7e²-8 = 0. ‚) 2(3x+6)_g(1-x) = 0. ) log (x)+log (x − 6)…

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Q: What is the least possible degree of the polynomial graphed above?

A: We know that ,                          Least degree of polynomial is given by n+1 . where n is…