Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) x+5x2 6x - 1 lim x →∞0

Q: By using the definition of the derivative, find d/dx 2x^2 -x

A: We have to find the derivative of the function:  2x2-x

Q: Given that f(x) = 1 4 x² Evaluate the 2022nd derivative of f(x) at x =

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Q: 22. If log, (3¹) = then b = OA B Oc C OD (A) 119 (B) 3 (C) 9 (D)

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Q: |f''(x)| The formula x(x) = 3/2 expresses the curvature x(x) of a twice-differentiable plane curve y…

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Q: Problem 5 Consider the equation e(x²-y)- y = 1. Show work! (a) Find d

A: To find dy/dx.

Q: Consider the function f(x) = 2x³ + 3x² 120x + 5, -5 ≤ x ≤ 5. This function has an absolute minimum…

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Q: Use implicit differentiation to find x-cot(xy) = -2 dy dx

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Q: lim (x-7) cotx X-T

A: To find out the limit.

Q: Find the derivative of the following function using the definition of derivative. State the domain…

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Q: Find all the critical values for the given function shown below. If there are not any critical…

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Q: For the followings problems, consider a function h that is twice differentiable. This means that his…

A: The function h is twice differentiable. The values of h'x are given in the table. x -8 -6 -4 -2 0…

Q: P1 Find an equation for the curve that passes through the point (1,0) and whose slope at (x, y) is…

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Q: Write the equation of the line tangent to the curve  xey = 7y + 8 at (8, 0).

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: Given query is to find polynomial function.

Q: Use the sum and difference identities to determine the exact value of the following expression. If…

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Q: Enlarged Graph = -5 -4 -3 -2 1 10 9 8 7 6 5 4 3 2 -1 -2 -3 -4 -5 2 [X] 3

A: we need to write down the domain.

Q: Solve the Concept of Complete general solution of the differential equation, using the Substitution…

A: Please see the below picture for detailed solution .

Q: The equation for the path of the particle is y= (x + 1)² +2. The velocity vector at t = 4 is v= (0)i…

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Q: (b) Find the equation of the tangent line to the graph of the equation −x²y − 3xy² + y³ = -4 at the…

A: Topic = Derivative

Q: Find the general solution to x′′(t) + 4x(t) = tan(2t) using variation of parameters. (Notice that…

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Q: Blink Appliances plans to order microwaves and stoves. Each microwave requires 1.5 hours to unpack…

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Q: If f(2) = 15 and f '(x) ≥ 1 for 2 ≤ x ≤ 4, how small can f(4) possibly be?

A: Topic = Functions

Q: 2 The path r(t) = (2 cos t)i + (2 sin t) j describes motion on the circle x² + y² = 4. Find the…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dt x +…

A: As we know from the Chain rule: dydx=dydt·dtdx And use the Power law: ddxxn=nxn-1   Given:…

Q: Evaluate the triple integral (2a³y + 9xy³ – 2y³) dV over the rectangular box B B = {(x, y, z) | −1 ≤…

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Q: a) What is the modulus of z = 6√26+ √26i 1-i b) Let v= and w= if these two vectors are orthogonal…

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Q: Find dy/dx using implicit differentiation.  sqrt of x+y = 9+x^2y^2 dy/dx=

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Q: (b) Find the derivative of f(x) = h(x)=2x-11. h'(x) = ab ab a b داه b Va =(²2+4) (2x - 11) by using…

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

A: The polynomial function has degree n=3 with zeros 3 and 5i, and satisfies the condition f1=52. We…

Q: 7. 3 S- 0 √x -dx

A: Given ∫3-xxdx

Q: Find the solution of the initial-value problem. HINT: y(x) = e is a solution of the differential…

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Q: or what value of c is the function f(¹) = { II 6 2-16 (x+4)(x-6) E x=-4 x=1 otherwise continuous at…

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Q: Given f (9) = 2. f' (9) 9. g (9) = -1, and g' (9) - 7, find the values of the following. (a) (b)…

A: givenf(9)=2f'(9)=9g(9)=-1g'(9)=-7

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Graph of the function is given We have to find v=∫05f(x) dx.

Q: D(p)=200/p  find the elasticity of demand

A: given  D(p)=220p   formula for elasticity is             E(p)=-p×dD(p)dpD(p)

Q: te the first four partial sums S₁, ..., S4 for the series having nth term an starting w S. = 12 - 2n

A: We will find.the required.

Q: Problem 5 Consider the equation e(x²-y) - y = 1. Show work! (a) Fi e (b) Find d

A: Topic:- calculus and derivatives

Q: (2) Find parametric equations for the upper semi circle with center (4,3) and radius 5. Sketch such…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. (a) lim 5 + (b) lim 5 888…

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Q: 5- Find a b and if w=artan (x² + 1) = boxy + Cayin (z) x= z²²y = ze and Z=2t-ze wy=-53.25, W7 = 2 at…

A: Aim: To find a ,b, c for the following expressions at t=2. Given: w=a·tanx2+1 - b·x2y + c·ylnz2…

Q: 10. Determine whether the function is linear, constant, or neither y - 12 = 0 OA OB Dc A) Linear B)…

A: Topic - Functions We are given y-12=0

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 4.4 x 10³ m and has an…

A: NOTE: Refresh your page if you can't see any equations. . Kepler's third law is given by where…

Q: =0 π n=0 -2η π

A: As we know that sum of geometric series a+ar+ar2+···· for first term a and common ration r is a1-r

Q: 11. Use the graph of f given below to find f(8). -10 -10 10

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Q: Using polar coordinates, evaluate the volume of the solid in the first octant bounded by the…

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Q: Question 2 :s) Consider the point P(2,-1,-4) and the vectors a = and b= (a) Find the unit vector u…

A: Given:- a→=-2,-1,2 ,b→=-3,2,2

Q: 4. State the solution of the following inequalities, and also graph the solution on a number line a.…

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Q: Evaluate the integral. T/2 T/2 Icons 0 [cos 5t i sin tj+ sin² 4t k] dt [cos 5t i sin tj + sin²4t k]…

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Q: "hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis…

A: We will find the required.

Q: ● 4. An object with mass m moves in a spiral orbit r = co² under a central force F(r, 0) = f(r)(cos…

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