∞ dx x²+12

Q: Given z = ebulv (Use symbolic notation and fractions where needed.) dz dt II ,u= √t, v = 81³ + 1.…

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Q: 2) Evaluate using long division first to write f (x) as the sum of a polynomial and a proper…

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Q: eliminate the arbitrary constant y=C1x^2+C2e^2x

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Q: Find the derivative of y with respect to x. y=In (tan-1 (7x4)) dx =

A: We need to find out the derivative of the given function.

Q: at the point (1.0) at the point (0.7) y= y= x x Illustrate by graphing the curve and its tangent…

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Q: Let f(x) = 8x³ - 15x²2 -2, x ≥ 1.5. Find the value of 3 df The value of df 1 at the point x = 623 =…

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Q: If E is the solid described below with density function p(x, y, z) = x² + y2, find the following…

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Q: Determine the vertex, the axis of symmetry, the direction of opening, the maximum or minimum value,…

A: see below the answer and calculation

Q: Use implicit differentiation to find dy dx (6xy + 5)2 = 36y = dy dx

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Q: The line tangent to the curve x²y² = 16 at (-1,-4) is y=.

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Q: y' = y = sec(0) tan(0) sec (0)tan (0)sec² (0) X

A: Given query is to find the derivative.

Q: dr Find for 0-718 de de || -7/8 -r = -3. -

A: Given query is to find indicated derivative.

Q: Consider the following function. 1 (x 9)(x - 10) Determine all values of x at which the function is…

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Q: a) b) Let V R³. Let W be a subset of V where W = The vectors = Show that W is a subspace of V. a…

A: Please see the below picture for detailed solution.

Q: If z = x² + xy, where x = uv² + w and y = u + ve", then: [80] u=2, v=-3, w=0

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Q: if f(x) = x sinx, then f'(x) = sin x + xcosx. show that there must be at least one value of in the…

A: The given function fx=x sin x and its derivative is f'x=sin x+x cosx. We have to show that at least…

Q: What is the length of the latus rectum of; 4x² +9y² + 8x - 56 = 0

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Q: 10. Find the critical points of f(x)=x²-3x² and identify the intervals on which fis increasing and…

A: Given function:- fx=x3-3x2

Q: Evaluate the limit lim s→6 1 S 1 6 S-6 -

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Q: TOPIC 1 Higher Derivatives 1-x Q. #1 Given f(x)= please find derivatives below. Hint: Always…

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Q: Should i put 62 on the other side making it -62?

A: The equation of sphere is x2+y2+z2+16x-2y+2z+62=0. We have to rewrite this equation.

Q: In(x) x 2 dx

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Q: What is the change in surface area with respect to time at t = 4s? Given: dv/dt = 12t^5 cm^3/s

A: We have to find the change in surface area with respect to time at t=4s .

Q: Calculate the arc length of y = 16 - 6x over the interval [1, 3]. (Use symbolic notation and…

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Q: Solve 2 cos² (w) - cos(w) - 3=0 for all solutions.

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Q: The function s(t) describes the position of a particle moving along a coordinate line, where & is in…

A: The given data is: st=t4-162t2+6561, t>0 a) Find the velocity and acceleration function.

Q: Find an equation of the tangent line to the curve at the given point. y = (x - 5)/(x − 6), (7,2)

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Q: Divide as indicated. - 25 4x-4 O A. B. ÷ 2 x +10x+25 2 x +4x-5 ²-25 4x-4 + 10x + 25 x2+4x-5 x²-25 x²…

A: To divide as indicated. x2-254x-4÷x2+10x+25x2+4x-5

Q: How is problem #8 done?

A: We will find the required.

Q: Which of the expressions are defined, and which are not? Give reasons for your answers. a. cot 8 b.…

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Q: Let f(x) = 5x2 − 2x. (a) Find the instantaneous rate of change of f(x) at x = −1. (b) Find the…

A: See below the answer and calculation

Q: 7. A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given…

A: According to question,Given Perimeter of rectangular fence = 24 m

Q: Convert each bearing measurement to degrees in standard position (DSP): 1. bearing of 100 degrees =…

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Q: S sin 3x sin 6x dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Solve the linear programming problem by the method of corners. Find the minimum and maximum of P =…

A: First we meed to draw the inequalities on the graph÷ Red line÷3x+5y≥20 Blue line÷-2x+y≤2 Green…

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = = cosh (6x).…

A: To calculate the Taylor polynomials T2 and T3 centered at a=0 for the function fx=cosh6x.

Q: y'-y=4te2t  is a first order linear DE in standard form. TRUE or FALSE?

A: Given differential equation is y'-y=4te2t

Q: A. Find the solution of the following differential equation 2. (D² — 10D + 34)³y = 0

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Q: Evaluate the definite integral by interpreting it in terms of areas. [² (3x - 9)dx

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 9x - 4x²…

A: To find out the slope and equation of the tangent line.

Q: Find f'(x) and f''(x). 2 x - 5x x+1 f(x)=

A: Given: f(x)=x2-5xx+1

Q: #4 find Y=3X₁ Y=3√x Volyne rotate about Y=3

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Q: Find the distance in netween the point P(-4,3,-1) and Q(4,-1,3)

A: given points P(-4,3,-1) Q(4,-1,3)formula for distance is D=(x2-x1)2+(y2-y1)2+(z2-z1)2

Q: al places. ,0) 7, urve linder th of C curve plane red From ction Dosi- 21-23 Use Theorem 10 to 21.…

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Q: If g(8) = sin(), find g'(8) and g "(0). 8 g'(0) - (0),6

A: Given query is to find indicated derivative.

Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x² - x + 1 on…

A: This is question of calculus  here value of function we have to find. further calculation is given…

Q: Find the derivative of y with respect to t. y=sin¹ (√14t)

A: The given function y=sin-114t. We have to find its derivative.

Q: 16 .." f . f(4) = 21 . f(t) dt = 31 f(16) = 25 Evaluate: T Upload your handwritten work in the box…

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Q: Find the indicated partial derivative. f(x, y) = 6xy5 + x5y⁹ fxxy fyyy = X

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Q: let c1=(e^-4t,sin(t),3t^3) c2= (e^4t,cos(-5t),3t^3) d/dt[c1 dot c2]=? d/dt[c1 cross c2)=

A: Given :c1=(e-4t, sin(t), 3t3 )c2=(e4t, cos(-5t), 3t3)