In y = C₁e* + C₂е¯x

Q: (y-2)dx-(x-y-1)dy = 0

A:

Q: The function f(x) = X = (6x 3) e5 has one critical number. Find it.

A: Given function ,   f(x)=(6x-3)e5x

Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 65 bushels of fruit. She…

A: A farmer finds that if she plants 65 trees per acre, each tree will yield 65 bushels of fruit.For…

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

A: Here we have to use the concept of derivatives.

Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

A:

Q: əx ду Əw aw x+y)+x²³ sec show that x +yay əx Ex: If w = y³ tan-¹ x²-y², x4-2xy³ Lemma: If w = f(g(x,…

A:

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A:

Q: For the function gox) graphed here, find the following limits or explain why they do not Im gox) e.…

A: Given,

Q: Find d²y dx² d²y dx² in terms of x and y. y5 = x6 6 25 X or|c X

A:

Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: For the curve xy + x2y - xy² = 1, use implicit differentiation to find the equations of the tangent…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

A:

Q: (x - 8)dx x (x + 5)² X

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. Convert the ff. in cartesian form: (a) 2² = 4+47² (b) p = sin osin

A:

Q: How do you multiply cube in an equation?

A: Solution

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A:

Q: 4. fsin (In x)dx

A:

Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

A:

Q: 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of:…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given po…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

A:

Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

A:

Q: You are given the polar curve r = 3 cos(0). (a) List all of the points (r, 0) where the tangent line…

A:

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

A:

Q: (2x-1) In(4x) dx

A:

Q: Decompose v into two vectors v₁ and v₂, where v₁ is parallel to w and v₂ is orthogonal to w. v=2i+j…

A:

Q: Sand is poured at the rate of 10 m3/min so as to form a conical pile whose altitude is always equal…

A:

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: Find v. v=-4i-j ||v||=| (Simplify your answer. Type an exact answer, using radicals as needed.)

A: Here, the given vector is: v=-4i-j=(-4)+(-1)j

Q: A company determines that its demand function is given by p(q) = -0.7q+2056 and that its cost…

A: A company determines that its demand function given by p(q)=-0.7q+2056 and that its cost function is…

Q: 11. J√e²-1dx

A: We have to evaluate the integral.

Q: dx 1+x-2

A:

Q: Consider the function f(x) = x¹ − 50x² +11, x¹50x² This function has an absolute minimum value equal…

A: We need to find absolute max. and min. value.

Q: Let's practice on how to complete the square because this will help us to identify whether the given…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... for…

Q: If a set S has both a minimum and a maximum, then S is closed.

A:

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: POT Q3.If f(x,y) = sin'(x-3y) +sin xind: of af and ду

A: Given:     fx,y=sin2x-3y+sin-1xy Taking partial derivative with respect to x.…

Q: 150. Determine the real number a such that vectors a = -3i+2j and b = 2i+aj are orthogonal.

A: Given:a=-3i+2jb=2i+aj

Q: Given the function f(x) = 5x(sin x + cosa) what is f' (4)? O No correct answer O -1.996 O -2.99 Ⓒ…

A:

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: A payment of $2,170 was due three years ago, and a payment of $1,850 is due today. What single…

A:

Q: What is the derivative of −9 sin² (-3x³)? O-162x³ sin (-3x³) cos (-3x³) no correct answer O 162x²…

A: just differentiate the given function by using chain rule of derivative and easily find the required…

Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

A:

Q: [Select] 3x²+3 ³+3x-4 3x² +3 In{³+3-4} 1 ³+30-4 1 In{³+3x-4} 32-4) A. f'(2) 6.51 B. f'(2) = 1.5 C.…

A: Given function is  f(x) = ln(x3 +3x-4)  20) find derivative of f i.e. f'  22) find f'(2)

Q: y = 9x² and y = 0 about x = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find equations for the tangent line and normal line to the circle at each given point. (The normal…

A: The circle equation x2+y2=25

Q: . In/du/u if u>0, then the result is O . In [lul+c] O Inu+c O In(u)+c O In [(-u)+c]…

A: