11. Find the limit using algebraic techniques. The limit of f(x) = -4 O- 0 O=¹ x+4 2x²+5x-12 as x approaches -4.

Q: 5. Find the general equation of the circle of curvature of the parametric equation t+1 X=- 2 ; y =…

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Q: Evaluate the given integral Q. Q = ff (√5 - x) dA, R where R is the region bounded by y = x and x =…

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Q: Find the critical points and sketch the graph of the function.

A: Topic:- application of derivatives

Q: Find the second derivative of f(t) = [(1+)¹ +1]¹

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Q: Given: f(x) = 10-X g(x)=x² + 4x-2 Find and simplify (9°F)

A: Given query is to find indicated composite function.

Q: Find the curvature K and the radius of curvature R at (1,2). (A K= √/2. R=₁ R = √2 (В) K= R= 2√2 2√2…

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Q: Let A be the set of students who live one km from school and let B be the set of students who walk…

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Q: 2. Which is the interpretation of the statement lim f(x) = L? i. For all x values close to c, but…

A: As per bartleby guidelines we only give first three question answers.

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

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Q: Find the gradient of the function f(x,y)=5y-x at the point (8,9). Then sketch the gradient and the…

A: See this solution in below

Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: A) The given function is f(x)=x33-2x2+12 ................................... (1) from -2 to 7 using…

Q: 4x+8 (x+2) ³ 3). D. Ba -dx

A: This is a problem related to integration. Based on the general formula and concept we will evaluate…

Q: II. Evaluate each of the following limits. -√3-x 4) lim x-2 2 4-x 5) limSin (²) 6) lim(4x + 1)² x-0

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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

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Q: x² dx -1 (2x²+2x+1)² sº₁

A: We have to evaluate the integral. ∫dxa2+x2=1atan-1(xa)+c

Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2 cos(3t)…

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Q: C. In5 x ,2 X limx→+⁰

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Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: Evaluate the equation f f ² sin (ry)dyda Select one: O a. / O b. 2 c. O d. (²+4) (+4)

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Q: Evaluate the integral. 34 1 8- dx

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Q: x= e-t cos 2t y= e-2t sin 2t given parametric equation find a, b, and c a) find dy/dt b) the…

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Q: Evaluate the integral: fe²* coshada Select one: a. ++C Ob. +C O c. 2¹+C -+0 Ⓒd.+²+C

A: Simplify it .. ∫ex(e2x/2 + 1/2)dx  ∫e3x/2 + ex/2dx e3x/6 + ex/2 + c  Option A is right.

Q: Physical Applications of First-Order Differential Equations A body of unknown temperature is placed…

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Q: 1. Evaluate the given integral Q. JR (y - 2x) dA, R where R is the region bounded by x = 0, y = x, x…

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: 10. Find the equation of the curve whose slope is the inverse of the sum of the square root of five…

A: Given ,  We have to find the equation of the curve whose slope is the inverse of the sum of the…

Q: Evaluate the following integrals: (show solution) a x² +2 b.) 1 x+1 x+√x c) f(sec x d.) e 4x 4x+1 x…

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Q: 3 − 4 + 16 - 64 + ...

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: 5. Determine whether the following statements are True or False? y = f(x) 2 X 0 (a) lim f(x) = 1 (b)…

A: Given graph of y= f(x)

Q: If a force of 5lb produces a stretch of one-tenth the natural length L ft of a spring, how much work…

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Q: 2-201 0 1 1 1 103 A = 0 1 -1 3 0 1 1 1 1 1 1 Which is the element A3,2?

A: To find the element A3,2  of the given matrix A.

Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: Set up, but do not evaluate, the integral for the surface area of the solid obtained by 3x rotating…

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Q: Solve the system of differential equations. x₁' = 3x1 - 1x₂ ¸x₂' = 1x₁ + 5x2 x₁ (0) = - 11, x₂(0) =…

A: This is a problem related to solving system of linear differential equation. Based on the general…

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the…

A: We have to calculate the area using left end right end and mid point methods.

Q: 2. Use integration to find the volume of the solid generated which is bounded by x + y = 2 and the x…

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Q: Suppose the functions f(x) and g(x) satisfy the following: f(2)= g(2) = g(0) = 4 3 2 f'(2) = g'(2) =…

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Q: 10. Find the limit using any technique. The limit of f(x) = 2x² - 3 as x approaches -3. 15 21 limit…

A: To find limit of f(x)

Q: Find the integral of ³y²-y+1 f dy y³-y²

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Q: Setan2 sec² 2xdx Select one: O a. 0.4325 O b. 0.0287 O c. 0.6543 d. 0.0177

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² - x - 10

A: A detailed solution is given below.

Q: 1. The figure shows the graph of a function f(x) with domain 0 ≤ x ≤ 3. Which of the following…

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Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

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Q: how did you get the final answer??

A: Let's find value of rate of change of slope with respect to x.

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: Find the critical points and sketch the graph of the function. 1. f(x) = √5 + x

A: We know that Critical points are points where the function is defined and its derivative is zero or…