Q/ For the function shown bellow; find dyldx using Chain rule Y = ( 4 2x + 4)*

Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ>0, y(π/3) =2

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: we have given the graph of the function f, it has local minima at x=2 (as it has minimum value in…

Q: If the derivative dx (instead of .) exists at a point and dx = 0, then the tangent line at that…

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Q: Use implicit differentiation to find dy/dx in x^2y^2 + y = x.

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Q: 3 B. Find the eigenvalues. -. 2,= -1 & 1z= 4 B. A,= 2 & 12= 2 C. A,= 4 & 12= 1 E Nona

A: Topic:- matrix algebra

Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of the cylinder…

A: Given problem:- A potter forms a piece of clay into a cylinder. As she rolls it, the length, L, of…

Q: Use sigma notation to write the following Riemann sum. Then evaluate the Riemann sum using a…

A: Solve the following

Q: 3. Evaluate: lim ( ) X-0 sinx

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Q: The integral of the given function cos xdx is equal to а. 1 b. 2 С. -1 d. 3.1416 e. None of the…

A: We know that the integration of cosx is sinx then use the limit and calculate it. Option a is…

Q: Problem #5: In the equation f (x) = e* In(5x) – e* + log find f '(3).

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Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: The function f: R R defined by f(x) = cos(r-) is O a. onto but not one-to-one. O b. neither…

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Q: The integral of the given function ſ is equal to a. In2 b. In3 c. In4 d. In5 e. None of the above

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Q: following functions fo - VE+3 and glo) = Find the formula for eXx) and simplify your answer. Then…

A: For f(x)=x+3 and g(x)=x+42, Our Aim is to find the formula forg∘fx and domain for g∘fx.

Q: Determine the limit: lim 4x2 x→0 sin (2x) cos(2x)

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: In x Find lim x o x2 Find lim x In x.

A: 2.

Q: From the textbook: Let f be the function in the graph below. (1) Going from left to right, this…

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Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

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Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: 7 n³+9 3 n=1 6 n³ + 1 %3D 8.

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Q: Find the solution to the first order linear equation, x- + y = xe*. dx dy • Y = ex _ e*¸ C В. у 3…

A: We have to solve equation

Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

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Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: Solve the following

Q: 2t dt 8. (1²+2)°

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Q: Evaluate the line integral Vo • dr for the following function p and oriented curve C (a) using a…

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Q: What is the degree of f (x, y) = 2y + Væ² + y? ? O 1 O 2 O 1/2

A: We can solve as follows

Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: dy - 3y = 0 dx 16. Solve the first order linear differential equation: А. y = e* + C В. у3 Сезх C. y…

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Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

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Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

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Q: = csc() – y] dæ + ædy = 0 C CSC Dy = = cos-' (In z + C) O Ina + cos () = C O Inz (금) =C cos Oy = x…

A: Topic:- application of integration

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: -4 Determine the limit: lim -i (и — 1)2

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Q: Question i a) [? *:): Determine whether the series 1 Σ n=1 (2n-1)4 is convergent or divergent. b) .…

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Q: Find an eigenbasis and diagonalize. (Show the details.) 101 72 9. -144 -103.

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Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

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Q: a) Test the series EN7-1)" for n =1 convergence or divergence (show all your works) b) Test the…

A: We have to find convergence test

Q: Differentiate the following. 2r-3 1. y = e

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Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Find two sets of polar coordinates for the point for 0 s0 < 2z. (r, 0) = (smaller r-value) (r, 0) =…

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Q: Which of the following statements is true about the function f(x) = x' - 6x²? a. The graph of f is…

A: We will check second derivative to find concave up and concave down.

Q: The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is…

A: topic- definite integral

Q: 23 Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(5,5) tan0 =…

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