In a class of 40 students, 27 like Calculus and 25 like Chemistry. How many like both Calculus and Chemistry

Q: dR dx If r=- which of the following is equal to Arctan(e*e) dx Orek R-1 e-2+e²R R re 1+e²(R+1) ○ ere…

A: We have to find the derivative of the given function.

Q: Let A = Then a = 5 0. 24], -4 B = Number [.35 14 0 -28 Also given that B = a A

A: To find the value of alpha

Q: Use implicit differentiation to find the point in the first quadrant on the ellipse 8x² + 2y² =…

A: NOTE: Refresh your page if you can't see any equations. . first, we need to solve this equation for…

Q: Use your derivative rules to find the derivative of the following functions: 1. f(x) = x¹ cos(x)…

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Q: Make a sign diagram for the derivative of the rational function. 3x + 6 X-2 f(x) = ---Select--- X…

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Q: For the function f(x), whose graph is shown below in blue, find lim f(x). x-x The red vertical…

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Q: 4. A box is to be constructed with the base length twice the base width. The material used to build…

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Q: if x ≤ 0 if 0 2 Use the definition for g to evaluate the following. Show work where appropriate. 1,…

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Q: 2 Find the equations of the tangent line and normal line (in the form: ax + by = c) to the curve y³…

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Q: If f(x)=x²-x²+-, then/"(2) =

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Q: Question 3 Sketch a function that has the following properties: fis discontinuous only at f is not…

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Q: Find the indefinite integral. wln(w - 2)dw

A: ∫ wlnw-2dw

Q: 1. Find the particular solution for the D.E. = 2 sec²x tanx given that dx² when x = 0, y = 0 and…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: B. Given the matrix 1 20 A 0-1 4 52 a Find the value of a for which the matrix is singular.

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Given k(x)=f(x)g(x), what is k'(8) ? 1 6 -5 -4 3 2 0 O-1/3 2/3 O-2/3 O 10 tio 1 2 3 4 I 1 f 5 1 6 7…

A: Graph of the functions f and g is given and kx=fxgx. We have to find the value of k'8.

Q: Let S = an be an infinite series such that S = 7 - 3 N2 10 Σ απ 10 (a) What are the values of an and…

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Q: Let S(x)=In(x² - 4x+5)

A: first derivative

Q: TOUT Mark. || Problem #5: Find the work done by the force F = -7yi+ 8xj along one loop of the curve…

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Q: Find an equation of the tangent plane to the parametric surface x = 1r cos 0, y = 4r sin 6 the point…

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Q: A company's marginal cost function is MC = 15x³/2 - 20x²/3 + 1, where x is the number of units, and…

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Q: dy Use implicit differentiation to determine given the equation xy + x¹ = y². dx dy dx ||

A: Given xy+x4=y2

Q: Evaluate the limit lim 9z+4 92²-62 +4 Question Help: Video Submit Question

A: Topic = Limits

Q: Suppose the function y = f(x) is defined by an equation x² + y² + sin(xy) = 9. Given that f(0) = 3.…

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Q: Bernoulli's equation dy dx -ye-2x = 6y8, will be reduced to a linear equation by using the…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: Determine whether the series converges or diverges: Input C for convergence and D for divergence: 00…

A: The given series ∑n=1∞-1n2n9n+3.

Q: A company has $15,950 available per month for advertising. Newspaper ads cost $230 each and can't…

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Q: For the function f(x) = -7x² + 9x + 4, find the equation of the tangent line at x = 4.

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Q: what value of x does the function f(x) = x³ – 2x²+x-11 have a relative maximum 1/3 -1/3 -1

A: Given query is to find the value of x where function has relative maximum.

Q: Let f(x) = 2x + 7 √x + 26 2 if x if x = -1 Select all statements below that you agree with. Note:…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=6√x,…

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Q: Find the equation of circle with Centre (2, 2) and passes through the point (4,5) - Find the…

A: Topic:- geometry    Note :- as per our guideline if more than one question uploaded than only first…

Q: Given the function f(x) = 4x²-x+3, determine f(z)-f(x) Z-X a) lim Z-X b) f(x) a) lim Z-X f(z)-f(x)…

A: Given query is to perform indicated operation on the function.

Q: Determine all the critical numbers of f(x) A) X=1 B) X=0 (C) x=-1 D) There is none 1+x² Select all…

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Q: 4. Sketch the graph of a continuous function f(x) with domain [0, 2] which is differentiable up to…

A: f'(1) = 0  which means slope of function  is zero at x = 1

Q: The radius of a spherical balloon is decreasing at a rate of - in/sec. π Which of the following is…

A: given  negative sign because radius is decreasing

Q: Find the area of the following region, expressing your result in terms of the positive integer n ≥…

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Q: Continuing with the same problem as above: Suppose L(x)= What is h'(2) ? 0 1 -5 not enough info to…

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Q: Identify the modal (mode) sport from the survey results. Calculate the number of learners that chose…

A: All the subparts are solved below:

Q: Solve (c) y" + 4y = 0, (d) (1+y/2)3 = (y')².

A: Solution is given below:

Q: Given the following arrow diagrams for functions from A to B, give a possible rule for the function.…

A: Part(a) Given

Q: If lim f(x) exists, then f is differentiable at x=c. X-C True False

A: We have given  limx→cfx exists. If limit exist then function is continuous at x=c. fc-=fc+=fc So,…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an = 15 n=1…

A: By using the Ratio Test to  determine whether the series is convergentor divergent.∑n=1∞ n9n

Q: Find the vertex, focus, and directrix of the parabola. x2 = 6y vertex (x, y) =…

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Q: 2. y = 2√x-x Curve Sketching Information Domain Intercepts Local maxima Local minima Point (s) of…

A: Note: - According to the company policy we can attempt only three subparts of a question so please…

Q: i) Given the functions below, solve for the following = f (x) = x+1 and g(x) = X-³33 a] (gof)(x) and…

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Q: -3x+1 Given y=6³+¹, find y".

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Q: Use a trigonometric substitution to calculate a non-zero constant. X √x² + 2ax dx, where a is

A: The given integration is: ∫xx2+2axdx Use a trigonometric substitution to find the value of the given…

Q: (3) Evaluate 42 sin(y³) dy dx You may want to reverse the order of integration.

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Q: The gas equation for one mole of oxygen related its pressure P (in atmospheres), its temperature, T…

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