Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (5,…

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Q: dx dy 2 Select one: True False

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Q: Dis bounded by the planes y 0, y 2,x=1, z=0 and z =(3-x)/2. Evaluate the triple integral with order…

A: Given Dis bounded by the planes z=3-x2,y=0,y=2,z=0 and x=1

Q: Find the area of a triangle PQR, where P = (2, – 3, – 4), Q = ( – 6, – 2, – 6), and R = (5, 6, – 6)

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Q: n evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth…

A: Given query is to find the solution of the differential equation.

Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

Q: Problem X.6 Let f(z) = : Find the interval of convergence for f,f',f". %3D n2 n=1

A: Ratio test:limn→∞ an+1an <1f(x)=∑n=1∞ xnn2limn→∞ xn+1 n2(n+1)2 xn <1limn→∞ x 1+1n2…

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

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Q: Finding a Limit In Exercises 11-28, find the limit. Use a graphing utility to verify your result.…

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Q: Given –6i is a root, determine all other roots of f(x) = x + 2x² + 36x +72. x= -6, ±2i x = -2, +6 x…

A: Given query is to find the other two roots.

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: Let A(z) represent the area bounded by the graph, the horizontal avis, and the vertical lines att=0…

A: Given data÷

Q: Simplify f and find any vertical asymptotes of f. x²(x+8) f (x)= x²+ 8x

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Q: 7x+2x? (x-4)(2x+3)(2x+1)

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Q: Question Suppose that the length I, width w, and area A = lw of a rectangle are differentiable…

A: l=7 , w= 9A = lw differentiate w.r.t tdAdt=l dwdt+ wdl dt

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

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Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

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Q: 10. dx 1+cos 3x In(1+cos 3x) + C %3D - 3 _11. S 2(cos x)(sin²x)dx 2 + C 3

A: As you mentioned  only 10 & 11 solved

Q: Still looking at the graph of the function f(x) from the previous question, recall that f'(a) gives…

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Q: do number 3

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Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: 1. Given: x(x+8)(x – 2) (x+ 2)³ 8(7x – 4) (x+2)ª ° f(x) = (x+ 2)² ' and f"(x) = with f'(x) = d.…

A: Function is undefined at x= -2   Interval f' (-∞, -8) +ve -8 0 (-8, -2) -ve (-2, 0) +ve…

Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: Find a plane through the points (-7,8,5), (-4,6,2), (8,2,-7) Question Help: D Video Add Work Submit…

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Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

Q: Finding Vertical Asymptotes In Exercises 63–68, find any vertical asymptotes of the graph of the…

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Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

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Q: lim e 0 t/ Select one True False

A: limx→0+e1xusing chain rulelet f(x) =1xg(u) =eulimx→0+ f(x) = limx→0+ 1x =∞

Q: B C 13 a.) Find LA 11 33 D A

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 4. The measurement of a side of a square is found to be 16 in. The possible error in measuring the…

A: We have to find the error in the area.

Q: Evaluate the sum. 7 3 ) Σ 2-3 k = 1

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Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: Solve the system of linear equations and check any solution algebraically. 5x - 3y + 2z = 3 2x + 4y…

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Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

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Q: 37 11 Let z < 1 < and sin (1) = -. Use a double-angle formula to find sin (21). 12 (Give an exact…

A: We have to find the given trigonometric quantity.

Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: x + 6 x - 3x - 54 52. f(x) = %3D

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Q: a+sinx If the function f(x) is continuous at x-0, then a = 2+2acosx x<0

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Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

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Q: dy dx Assume x and y are functions of t. Evaluate for 4xy -3x + 5y° = - 210, with the conditions dt…

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Q: 164 24 7. 8. 88

A: Given

Q: 41. Find a formula for the function S(x, y, z) of three variables that gives the average of three…

A: We have to find the formula for function S(x, y, z).

Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

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

Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: Determine the critical point and find for the maximum and minimum values at closed interval for the…

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