PLEASE ANSWER:  Find the number in the interval [−1, 1] such that the sum of the number and its square is a maximum.   show your complete solution and write it on paper.

Q: 4. Evaluate the double integral: L Lope y¹/3 (Hint: Change the order of integration to dy dx.) dx…

A: Given problem:-

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

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Q: Find the maclaurin series of the following functions:- 1- e-x 2- 3- sin (3x) 1+x 5- cosh(x) 4-7…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

A: The standard form of the equation of a circle is x-h2+y-k2=r2 where (h, k) is the center of the…

Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

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Q: Use Cartesian coordinates to evaluate Jff v² av . D where D is the tetrahedron in the first octant…

A: We need to find the integral , ∭D y2 dV   where D is the tetrahedron in the first octant bounded by…

Q: If you are not given the graph of a cosine function f(x) however its maximum and minimum are 3π…

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Q: 3 [₁³e- t³e-2t dt

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Q: 6. find the given general differential solution, using homogeneous equations with constant…

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Q: Gradient 3. Find the gradient of the following scalar functions. (c) f(x,y)=at (-1.1) (d) $(x,y,z)=-…

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Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: follow next step

Q: Solve the initial-value problem. x' + 7x = e-7t x(t) =| X cos(t), x(0) = -1

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Q: A: f'(√) = -2. B: f'(√) = -1. C: f'(√) = √√. D: f'(√) = 1. E: f'(√) = 2. If fr. 70 f(t) dt =…

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Q: Q4) Find the volume of the region R, that cut from the cylinder x² + y² = 4, by planes: z = 0 and…

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Q: 2. Find the horizontal asymptotes of the following functions. 9x2 + 1+ 2x + 1 (a) f(x)= = 4x + 3

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Q: What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

A: As per the instruction, we will be answering the first question. For (12), Given: Now, we will find…

Q: x² tan-¹x dx

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Q: F=cos(x) î+sin(y) ĵ+cos (z) k

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Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: We need to find equation of plane.

Q: 1. A Bernoulli differential equation is one that takes the form y' + P(x)y = Q(x)y". (a) Classify…

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Q: dy/dx=x2+3y2/2xy

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Q: Use the Product Rule to find the derivative of the function. f(x) = 9ex cos x

A: product rule: (uv)' = u'v+uv'

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

A: Since you have posted a question with multiple sub parts, we will solve the first three subparts for…

Q: A 170-foot tall antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is…

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Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

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Q: Solve the given differential equation by using separable variables. 2. dy y-1 = dx x + 3

A: We will solve the given differetial equation using separation of variables.

Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Find the value of b for which the differential equation (yebry + x) dx + (bxexy) dy = 0 is exact,…

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Q: 4. Evaluate the double integral: So SAFI y¹/3 x7 +1 (Hint: Change the order of integration to dy…

A: Graph of the limits÷ x=y13,x=2,y=0,y=8

Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Given :y=3sin5x-2cos5x    To prove : y''+25y=0

Q: Je* cos x dx ex

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Q: Payroll Rules: ALL HOURS UP TO 35 HOURS PER WEEK PAID AT HOURLY RATE. ALL HOURS OVER 35 HOURS PER…

A: Juan paulo :-  Standard pay = 35*15 = 525  O. Pay = 5*15*1.5 = 112.5  Bonus = 0.05*(22000 - 10000) =…

Q: Evaluate [[r'dr de over the area bounded between the circler = 2 cos@ and r= 4 cos -41π/2 O -43π/2 O…

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Q: 2- Are the vectores [4,2,6] and [6, 3, 9] collinear? How do you know?

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Since you have asked a multiple questions we are answering the first question, to get any other…

Q: Evaluate 1 dx (x - 2)³

A: we have to solve the integration

Q: The demand function for a firm's product is given by q = 18(3p, 2p)¹/3, where • q = monthly demand…

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Q: Find the equation of the line through P = (14, 13) such that the triangle bounded by this line and…

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Q: Let f be the function below. You can click on the graph to get a larger image. M Determine the…

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Q: For the function z = 3x³5x³y² + 4y³, Show that Zyx = Zxy

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Q: Farmer Watson has decided to take 805 ft of fencing he purchased and use it to enclose the…

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Q: A student is given four different trigonometric expressions 1 I secx cosx 9 II cot²x-csc² x III…

A: Let's simplify given trigonometric function and then evaluate for ranking.

Q: Use mathematical induction to prove the following: 1 + 3 + 5 + ... + (2n – 1) = n² for n ≥ 1

A: This question can be solved using the four basic steps of mathematical induction.

Q: Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3, 0 as a zero of…

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Q: Q1.. Find domain and range for following functions: x a) y = 1 (2 x 20 x<0 b) When f(x) = and g(x)=…

A: Let's find function domain and range.

Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

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Q: Find an equation for the line below. -6 -2 5

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