given u = <3,7> and v=<-6,3> find u*v

Q: surveyor standing 57 meters from the base of a building measures the angle to the top of the…

A: distance between surveyor  and building is 57 meter angle with building top = 38 angle with top of…

Q: Find the limit. lim (x,y) → (5, 1) ety Discuss the continuity of the function. O continuous…

A: See this solution in below

Q: a. b. C. Evaluate the following double integrals: (2xy + 3y²)dydx (r)drde (e-²) dydx (Changing the…

A: We need to evaluate the given double integrals. Please see below fora detailed answer.

Q: 8 If f(x) = 3 + = + x 6 x2 find f'(x). Find f'(4). Round to 3 decimal places if necessary.

A: Given that f(x)=3+8x+6x2-(i)Our Aim is to find f'(x) and f'(4).

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (2) limx-o x-³ (tan-¹x - x)

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Q: Find all points where the function is discontinuous. Ox=1 O None O x = -2 Ox= -2, x = 1 →→x

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Q: Q / if w = tan x and x=4²++ Find dw dt

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y"…

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

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Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: A spherical iron ball 8cm in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: + 2 .4 i ti ti ti ti + i _ ។ { / - 1 "

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Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: dr. (4+x²)²

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Q: Evaluate the definite integral. S √4x + 3dx

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Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: 7. Use integration tables to find or evaluate the integral. (Use C for the constant of integration.)…

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: 10. dy dx = X y²√1 + x

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Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…

A: We will use comparison theorem to compare the given two Integrals.

Q: 10.¹ (3x² - y²) dx + (xy − x³y¯¹) dy = 0 2 du

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Q: (e) Evaluate S 1+7x dx.

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Q: 18. Assume that f"(x) = (x + 2)²(x-2)(x - 3)(x - 5)³. Find x-value(s) for all inflection point (s).

A: If sign of f''(x) changes when we move from left to the right of x=a then x=a is known as the point…

Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: defined on the interval [-5, 7]. a.) f(x) is concave down on the open b.) f(x) is concave up on the…

A: This question can be solved using the concept of point of inflection, critical point and point of…

Q: 2x+3 (2x² + 6x - 1)5 S 1)5 dx

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Q: Answer the following questions for the function f(x)=x√x²+1

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Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y= 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q4: (chose one only) 3-x 1- f(x) = 2 x 2 a) Find limx→2+ f(x), limx→2- f(x) andf(2). b) Dose limx-2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 4,…

A: Need to find out the Wy1,y24

Q: valuate the following double integral over the region R by converting it to an iterated integral. Se…

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Q: Find f'(x) for f(x) = - 8A√x - 5Bx⁹ where A and B are constants. Completely simplify any fractions.…

A: Solution of given question is written in below steps.

Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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Q: Find the radius of convergence, R, and the interval of convergence, I, of the following series. (1)…

A: (1) The given series is ∑n=1∞n(x-1)n

Q: FIND: hf(x)dx 2 g(x) dx = = f₁₁ f(x) dx = = if g(x) is an odd function. if f(x) is an odd function.

A: We need to find integral.

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: (B): Find the tangent equation to the curve y = sin²x at point x =

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Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. A $124,000 trust is to…

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) (sin(0) +…

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Q: Let f be continuous over [a,b] and differentiable over (a,b). Then there exists at least one point…

A: Let f be continuous over a,b and differentiable over a,b. Then there exits at leastone point c∈a,b…