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Q: 1. Find for the following functions : dx 3(x* - ' –1) 5) y (ans.:

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Q: A manufacturer of calculators has a monthly fixed cost of $500 and a processing cost of $17 for each...

A: Profit is equal to difference of selling price and manufacturing cost.

Q: Let h(x)=f(x)+g(x). If f(x)=x^3 and g(x)=2x^4, what is h′(2)

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Q: A brokerage firm charges 6% commission on gold purchases in amounts from $50 to $3000. For purchases...

A: We have, a brokerage firm charges 6% commission on gold purchases in amounts from $50 to $3000. For ...

Q: A ship leaves port at noon and has a bearing of N 53° E. The ship sails at 15 knots. At 6 pm the shi...

A: Given: Ship leave port at noon and has a bearing of N53∘E.The ship sails 15 knots.

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

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Q: If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (12 ), and f (a).

A: We have given fx=x3+x2-x-1

Q: Domin and rang

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: What did you notice?

A: perform subtraction

Q: Logarithmic Diffetentia tion Use logarithmic differentiation te find the derivativeof Hwith respect ...

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Q: (구+w)@-2y' -0. – 2y² = 0. x +xy %3D dx

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other que...

Q: f(x) = x –? f(x) = 1-x2 f(x) = 4 -x f(x) = +3 x*+1

A:

Q: Find an equation of the plane that passes through the line of intersection of the planes ( x- z = 1 ...

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Q: Homework: (1) Using the definition of derivative, find the derivative of the following functions: (a...

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest rat...

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Q: Example: Find dy/dx for the following functions : a) v= coth(tanx) h) v= sin'(tanhx)

A: (a). The given function is: y=coth(tan x)

Q: Derive the SYinala Casht

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Q: Discuss some of the ways that you can show a vector field is not conservative

A: Given: To show that a vector field is not conservativeLet us consider that F→ to be ai+bj+ck=0

Q: 3x 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: dy for the following functions : dx 1. Find 5) 15) y=\tan /2x +7 (ans.

A: We have to find dy/dx of given functions.

Q: Factorise the following using ac method: 1. 2b2-5b+3=0 2. 2c2+7c-4=0 3. 2g2-g-10=0

A: In the question it is asked to factorize three functions given below. 2b2-5b+3=0 2c2+7c-4=0 2g2-g-1...

Q: A body moves on a coordinate line such that it has a position s=f(t)=t^2-6t+5 on the interval 0 is l...

A: The position of the body is given by, ft=t2-6t+5, 0≤t≤5

Q: The total cost of producing x units of a certain commodity is given by C(x) = 20x ^ 2 + 100 a)Find t...

A: Given Total Cost C(x) = 20x2 + 100

Q: Use the Binomial Theorem to expand the binomial (3x + 1)4 and express the result in simplified form.

A: It is known that Binomial for positive integral index is, x+an=xn+nxn-1a1!++n(n-1)xn-2a22!+...+an Th...

Q: 5. Test the exactness of ODE, if not, use an integrating factor to make exact and then find general ...

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Q: Q2: Consider the square matrix A 2 -3 2 A = -4 2 -6 2 2 4 (i) Find the determinate of A by using cof...

A: Matrix

Q: Evaluate the following expressions without using a calculator. (a) In(e-10) = (b) eln (8) %3D In (0)...

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Q: x² x²_4

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Q: Write a linear cost function for situation. Identify all variables used. A ski resort charges a snow...

A: We have given a situation which is a ski resort charges a snowboard rental fee of $40 plus $8.5 per...

Q: If f and g are: h(x) = |2x + 3| + x2 f(x) = 3x − 5 (a) Find h ◦ f (b) Find f ◦ h. Simplify your res...

A: (a) Find h ◦ f

Q: Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 9...

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Q: | 1. Find dx dy for the following functions : 45) y=x' log,(3– 2x) (ans.:3x² log,( 3 –2x)-73-2x )ln2...

A: We have to find the following derivatives

Q: write polynomial function from graph this is a practice problem, not a graded assignment

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Q: The graph shows a proportional relationship between a family's distance from home, y, and the time t...

A: Answer

Q: Suppose that the cost function for a commodity is C(x) = 50 + x² dollars. (a) Find the marginal cost...

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Q: O GRAPHS AND FUNCTIONS Application problem with a linear function: Finding a coordinate. The credit ...

A: To determine the remaining credit after 83 minutes of the call.

Q: When streaking an agar plate using a four-quadrant technique, begin streaking in the first quadrant....

A: We have to choose the correct option.

Q: If f(x)=ln(3x^3+4x^2+x+4)

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Q: Find the domain and the vertical asymptote of y = log(4 + z). The domain, in interval notation, is: ...

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Q: 2 (x

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Q: Find the indefinite integral u:

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Q: Q.2 Let line (L): x = 2t, y = 2 + 5t , z = 3 + 2t if (a,1,b) lies on line .Find (2a + b)? point

A: According to the problem, we have

Q: write the function whose graph is the graph of y = x3, but Shifted down 4 units vv

A: Given: The function y=x3 To find: The equation of the function whose graph is the graph of y=x3 but ...

Q: A) find the directional derivative of f at P x - y f(x, y) = ; P(-1, –2); 0 = 1/2 x +y B) Find the d...

A: Sorry, we can answer the first question as per the honor policy. Please resubmit the other question ...

Q: Let f(x)=|2+3x|

A: According to the problem, we have

Q: What six quantities are needed to compute a correlation coefficient?

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Q: Calculus Question

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Q: dz If Z=xy³-Cos(x²y) ,x=rt² , y=tr² then dr A) 5[t*r°+ r?t*Sin (tr")] B) 5[2t7r#+ r?t*Sin (t°r")] C)...

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Q: GRAPHI 1) f(x) = x2+8x + 12 %3D 10 Vertex: Axis of Symmetry

A: As you have posted multiple questions, so according to our guidelines we will solve only first quest...

Q: (a) Find the domain of each function. (b) Locate any intercepts.(c) Graph each function. (d) Based o...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

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