3t² Determine f'(2) if f(t)=log10 2t – 1

Q: Find the maximum and minimum values of f(x,y)=xy on the ellipse  4x^2+y^2=6

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Q: 3. Determine whether F is a conservative vector field. If it is, find a function f such that F= Vf. ...

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Q: My sequence has the following terms: -100, 00 3 10000 20000 7 1000000 31 - 3 J...

A: This question can be solved by applying the concept of finding general term of a sequence.

Q: lim cos G+5 +

A: limx→πcosx2+π4+12  

Q: Suppose that the total cost (in dollars) for a product is given by C(x) = 1700 + 160 In(2x + 1) wher...

A: topic- functions and derivatives

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: topic - vectors 

Q: The equation r(t) = (3t + 9) i + V5t) j+ (2t) k is the position of a particle in space at time t. Fi...

A: This is a combination of vector and application of derivative problem

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer below 

Q: 3. The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is T...

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Q: Evaluate the integral L(9te") i + (9e 2") j+ (4) kļat. J[(otea") i+ (9e 2) j+(4) k]at = ([ i+ +. (Ty...

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Q: Find the indefinite integral and check the result by differentiating.

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Q: 00 Suppose y = > anx" on an open interval I that contains the origin. Express the following as a n=0...

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Q: What is the velocity vector? v(t) = ( Di+ ()i+ (1) k What is the acceleration vector? a(t) = () i+ (...

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Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1, ...

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Q: 2x2-8х+7 x 0 9x2+5x-3' Suppose f (x) = -4х3 +6х2—15 х-6х3

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Q: O g(x)= ( % x + %) X so at the point X, =O. x >0 9メ- x

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Q: Find the volume of the solid obtained by rotating the region bounded by x =y and x = 5y about the y-...

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Q: For the following exercises, find all points on the curve that have the given slope. 71 x= 4 cos t, ...

A: Given query is to find the points where slope is 0.5.

Q: DO NOT include the variable in your answer. Given the graph off'(x) below, what is the slope of the ...

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Q: Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = sinh kt L{f(t)} %3...

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Q: 700 find the following. For the demand function q = D(x) = a) The elasticity b) The elasticity at x ...

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: A particle moves on a straight line with velocity function v(t) = sin ot cos' at. Find the position ...

A: integration

Q: X - 5 dx -2x + 2

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Q: A poster must have a printed area of 280 square inches. The top and bottom margins are 6 inches each...

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Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3 sin x on [- 7,7] Select the c...

A: topic - application of derivatives

Q: B. Let ulr,e) = r"sin(ne). Find 4 2n-2 +u -nr Ure or

A: Given 

Q: Find f x) and f xof fCx) = 11x³

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Q: 2. A tunnel with an elliptical cross-section is built over the highway. The length and height of the...

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Q: dt 20.5 t2+2t A - In|t? + 2t| + C B. 2ln +C C. In +C D. In + C

A: First we common out t2 from denominator and then put 1+2/t=u and differentiate both sides with respe...

Q: A telephone line hangs betweenn two poles at 12 m apart. In the shape of the catenary y = 50 cosh -4...

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Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: Find the x-values for all points where f(x) = x4 - 50x? - 5 has a relative extrema.

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Q: Perce Mandtactring delemines that the daily revenue, in dolars, trom the sale of x lewn chairs is Ri...

A: According to new guideline if a question contain more than 3 subparts then we have to solve only 3 s...

Q: Determine whether the improper integral diverges or converges. 1 e2x + e-2x dx O converges O diverge...

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Q: derivative k(t) = 4.8t3 − 4t2 + 2t − 9; t(x) = ln x

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Q: Discuss the continuity of the function h(x) = }" (x2 + 7х -5, x3 – 2x2 + 1, x < 3 x 2 3 on the inter...

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Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

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Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: tion 4x + 200 A garden shop determines the demand function q = D(x) = during early summer for tomato...

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values...

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Q: 3. Let ø(x) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4. Let ...

A: We need to find ratio of solution of D.E.

Q: nd the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form ...

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Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

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Q: 7T then 6. If 0 = sin(0) = cos(0) = COS %3D

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Q: 1. Define the function [In(x + 1)] cosh x + tan x ,x > 0 (sinh x) sec-(x - 2) f(x) = , X < 0 a. Show...

A: Here, the given function is: f(x)=[ln(x+1)] cosh x+tan x, x≥0(sinh x)sec-1(x-2).       x&lt;0

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f"(...

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Q: duct z,z2 and the quotients 1 and (Express your answers in polar form.) Z2

A: We will solve the problem on complex numbers.