There is one point of intersection in the graphs of the conics. (x + 1)² + (y + 2)² = 16 (y + 2)² = 4 (x − 3) What are the coordinates of this point of intersection? Enter your answer by filling in the boxes.

Q: If f(t) = = (t² + 2t + 5) (7t² + 2), find ƒ’(t). Find f'(5).

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Q: · -21, x ≥ 0 r+? r 1.Given the integral: f(x) = {¹x Slx Evaluate: ₂f(x) dx

A: We have to solve the given integral

Q: 03* Which of the following is the direction vector from the point A(4, -3, 2, 1) point B(-7,2, -4,…

A: Direction vector from point A to point B is AB→

Q: Find the velocity and position vectors of a particle with acceleration a(t) = (0, 0, 8), and initial…

A: NOTE: Refresh your page if you can't see any equations. . the acceleration vector is  the velocity…

Q: Use the Gauss-Jordan method to solve each system of equations. x + y = 5 3x + 2y = 12

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Q: Solve the differential equation given below. dy/dx = -7y+4/-9x+8 y = ____

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Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

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Q: lim (1 + 2 sin 3x) cotx = ? x →0

A: Here we have to evaluate the limit

Q: Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the…

A: Solution is given below:

Q: QUESTION 3 If s= 2 . q=2t³ and ds dt r = √2²2-1, find when s=2 by using Chair

A: Please refer to the image below

Q: Evaluate the limit: limx→0 (z − cot ) 00 O 2 04 06 =

A: Limx-0(1/x - cotx)

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Q: A stomp rocket is launched straight into the air and is being watched by students 300 meters away.…

A: Topic = Derivative

Q: 03* How many critical points does the function g(x) = |1 - x² | have? 0 1 2 3

A: Critical points for the function are those points where the derivative of function is zero or fails…

Q: 06* If - ²/1 <-3t+1 21/4 107/20 27/5 270/17 < 7 what is one possible value of 9t - 3?

A: Topic = Inequality Correct option = 10720

Q: 60 J 61 11 X Find the exact value of each trigonometric ratio. You do not need to reduce.

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Q: Question 5 What is the instantaneous rate of change at x = 1 of the function f given by f (x) = ? 1…

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Q: Find the directional derivative of f at the point P in the direction of a. f(x, y) = 5x³-9y³;…

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Q: By graphing the quadratic function f(x) = 16+ 12x + 2x², find the - and y-intercepts. x- Oz: 16; y:…

A: Given quadratic equation f( x ) = 16 + 12x + 2x2

Q: 2. Newton's Law of Cooling An object that has been heated will cool to the temperature of the…

A: Given: A hard-boiled egg at termperature 92°  is placedin 20° water to cool. Five minutes later,the…

Q: Prove the identity. cot²x (sec²x - 1) = 1

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Q: In this question, you may find the following useful. For a cone of radius r, height h and length of…

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Q: Part 2 - Find the error(s) and solve the problem correctly. Express the following in completed…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: expression 0.2x - 60 is equivalent to an expression in the form k (x + A). Write the expression in…

A: The expression 0.2 x-60 is equivalent to an expression in the form k(x+A).

Q: 1. Find the range of the given function: y=x² + 3x-4 Oy≤-6.25 y≤6.25 All Real Numbers y≥-6.25

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 10, (4, 4,…

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Q: Let a = C= i ci + j and b = 6i + 54j. Find' c so that a and bare orthogonal.

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Q: ( ²-² + ² ) ✓ = 15² (8 ( ² + ² ) . ( ²/² + ²² ) ₂²² = ( − 15_³ = (5 55-³=1 (²-4), ( - ) ² = (

A: Topic:- Laplace transform

Q: Evaluate the iterated integral. 1 1 [²6² ₁²x + 0 0 (2x + 4y)7 dx dy

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Q: Using the trapezoid method, approximate the area under the curve y = x³ on the interval from 0 to 3…

A: Given: y=f(x)=x33Sub-intervals=3range of integral=[0,3]

Q: Solve the seperable equation for u, (du/dt)= e4u+6t. Use the following initial condition: u(0)=-13…

A: use separable method for solving the differential equation.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8,…

A: Given Data : A line is passing through the point (-8,-8) and is parallel to 5i^+6j^.   Required : We…

Q: A city bus system carries 4000 passengers a day throughout a large city. The cost to ride the bus is…

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Q: 2₂ 1 {(3x+1)² Evaluate the improper integral f dx.

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Q: Let f be the function given by f(x) = −4|x|. Which of the following statements about f are true? 1.…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take x=0 here…

Q: Determine the angles made by the vector V = (29)i + (62)j with the positive x- and y-axes. Write the…

A: Determine the angles made by the vector  V=(29) i+(62) j with the positive x and y-axes. Write the…

Q: What are the domain and range of the function? 11 10 9 8 7 6 UT -4 fm -~ 6 -5 4 -3 2 -1 o 2-1 --2…

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Q: Prove the identity. tan(0) sin(0) + cos(0) = sec(0)

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Q: Approximate the area under the curve of y = - over the interval [-6, -2] using a midpoint…

A: given  y=-3x   interval is  -6,-2by using 4 sun intervals

Q: Find the values of a and b that make f continuous everywhere. a = b = f(x) = X x² 2 4 X - 2 ax² - bx…

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Q: 10. Determine f" if f(x) = √√√x³ +2.

A: Given : f(x)=x3+2To Find :f''

Q: Calculate M6 for f(x) = √√3x over √3x over [2,5].

A: Given Data : We have given a function f(x)=3x over an interval [2,5].   Required : We have to for…

Q: QUESTION 1 In x Find lim- 1-01-2x² QUESTION 2 X Evaluate the improper integral S₁ (x²+1)² dx.

A: As per the bartleby guideline only one question is allowed to solve if multiple question is asked in…

Q: b Evaluate the integral using the formula f x³ dx = 44. = (Give your answer as a whole or exact…

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Q: page-2 15 -- :∴I 1 = { " ( 2²²-22²"+2") (-42) X //똥 = 13 = p(222 = = 16 14 Z = [루* - 2. " + Z 16 14…

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Q: Exercise 5: If f(x) dx = 10 and f(x) dx = −2, use the properties of definite integral to evaluate:…

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Q: f(x)=x5 - 6x7 - 4x lim f(x)= X418 lim f(x) = x18 f(x) = 7x4 - x³ + 7x + 1 lim_ f(x) = x418 lim f(x)…

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Q: Find an equation of a sphere if one of its diameters has endpoints  (1, 4, 6) and (3, 8, 8).

A: Here we have to find the equation of a sphere.