18. SHOW ALL WORK Find the square roots of - 1 + iV3. Leave answers as exact values. No decimals.

Q: y y=x+1 x= 4 y = 0

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Q: 2 -x Evaluate lim x-2 x5 - 32 1/-60 O 1/80 O NONE OF THESE -80 O -1/80

A: The given limit,                 limx→22-xx5-32

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x<24x2+6x+8if x≥2

Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral 3e* dx with n = 4…

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Q: The circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm. Use linear…

A: Given that the circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm .

Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

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Q: 9. The management of a large store wishes to add a fenced-in rectangular storage yard of 20,000…

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Q: Determine whether the given series converges or diverges. 4n – 8n 5" n = 1 converges O diverges If…

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Q: Evaluate lim v9x² – 5x + 3x x - 00

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Q: Find the line integral of F = (6x - 3x) i+3z j+k from (0,0,0) to (1,1,1) over each of the following…

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Q: Derivative. The derivative of h(x) : 3+ e(4x2 + 5) is O none of the other answers -e(4x + 5)…

A: step 2 complete solution

Q: dy 3) Determine the of : In (ху?) %3D х у dx

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Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

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Q: Question If 0 < 0 < 2T and –12cos²0 – 8 = –17, determine the values of 0. If there are multiple…

A: The value of cos in the fourth quadrant is positive

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: omposition. Suppose we want to find the composition of a function with itself. Let g(x) = -4(x+3)2…

A: Given, g(x)=-4(x+3)2

Q: Given the following differential equation y" - x?y = 0 After plugging in the appropriate power…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: There are more than 3 sub-questions, as per the Q&amp;A guidelines I am answering the 1st 3…

Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: Find the slope of the tangent line to the curve at the point (1, 0).

A: Given, f(x)= x-x³ (1,0)

Q: Tangent Line. If p(x) = 3x² + 2x4 + 8 + 2 Then the equation of the tangent line to the function p(x)…

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Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: Object Height. Suppose an object is thrown straight up from the ground. The height after t seconds…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Use implicit differentiation to find the specified derivative at the given point. dy 7. Find at the…

A: Given that,   6x-7y+5x2y2=0 at the point -1,1

Q: 16. Find the number of units x, measured in thousands, that will minimize the average cost function…

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Q: 6. S (2x+3) dx (x2+3x-6)9

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Q: Calculate the work done by the field F when the object moves along the given path from the initial…

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Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

A: The solution is given below

Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: /3x+10 4 Evaluate lim x- 2- x2- 4x +4 А. 1 В. 3/8 D. -00 E. None of these C.0 B O D E O A

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Q: If f is decreasing on (a, b), then f ' (x) < 0 for each x in (a, b).   a) True b) False

A: We know that the function is said to be decreasing on I then f′(x) &lt; 0 at each point in an…

Q: 2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area…

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Q: (a) Graph the equations in the system. (b) Solve the system by using the substitution method. (x+3)°…

A: Using substitution method.

Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

Q: 5 x - 2 Horizontal Asymptotes. Find the horizontal asymptote of f(x) = 4 x2+5 x-2 O y = 0 There is…

A: The given function is: To find the horizontal asymptote.

Q: Suppose that f is a function given as f(r) = - 2² +2x + 4. Simplify the expression f(x + h). f(x +…

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Q: 3 Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(æ) =…

A: Here, the given function is: f(x)=5x3-3x6

Q: dy Find of y = /2u – 9; u = x² – 9 dx Type your answer without fractional or negative exponents. Use…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 9x+9…

A: First we factorise the denominator of the given function.Then form the partial fraction…

Q: 2² + y° = 1 = 2' - y %3| = z + y? = 1 +E z = I +y ² + y² + z² = 1 = 2° + y? circular cone sphere…

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Q: If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O…

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Q: Consider the function f(x) whose second derivative is f"(x) = 4x + 4 sin(x). If f(0) = 2 and %3D %3D…

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Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.