1. Find two sets of three consecutive odd integers such that the sum of their squares equals 251. Show and explain your work.

Q: Find the unit tangent vector at the indicated point of the vector function T(A/2) = ( r(t) = et…

A: Given vector r( t ) = e6tcost i + e6tsint j + e6t  k

Q: Find the area of the region bounded by the lines y = x² and y = 2-x². (No tolerance. The final…

A: Given and  Graph

Q: dentify one angle between 0° and 360° that has the same reference angle as a 30° standard angle.

A:

Q: A company produces a specific good for which the revenue function in terms of the produced amount q…

A: A company produces a specific good for which the revenue function in terms of the produced amount q…

Q: Find the average rate of change of the function f(x) = Average rate of change = Give exact answer!…

A:

Q: ( 1 Suppose we define a function Blue as follows Blue (s) = 5s²+1. Steven is asked to find Blue…

A:

Q: k X L n X L n Y d X + dy=o 2 (x²-xy + y²) dx-xydy =o

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

Q: 2) Solve dy 4x " x2+342 3x² + y²

A:

Q: Let f(x) = x³ (x + 2)² (x − 3)(x + 4)². Decide whether f(x) is positive on each of the following…

A:

Q: 1) Find the domain: A) f(x) = √TXT 2) Find the range: A) y 1-2x-x² √2X (x-1) C) lim 241+ x-1 X--XX…

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Use the 2 solutions Bernoulli's equation dy y + = x²y² dx x

A:

Q: Question 2 Solve the following simultaneous equations xy = 256, 3log, (v) = 1 (4 marks)

A: Using logarithmic property Logxy=z then apply exponant both side we get y=xz

Q: Find y' if 8√√xy + 6x = 3y. 4y+ 6√√xy+4x 3√xy O 3√√xy-4y 4x 4x-3√√xy 6√√xy+4y 4y+6√/ay 3.√√xy-4x O…

A:

Q: For the function f(x) = 3 - (x + 1)³, find the interval on which fi increasing. O a. (-∞, 3) O b.…

A: given   f(x)=3-(x+1)3 for increasing  f'(x)>0dxndx=nxn-1

Q: Write the correct answer and provide a brief justification for your answer.

A: Topic:- sequence and series

Q: the logistic equation (with t in months.) P(t) = 0.0225P(t)- 0.0003P(t)² ) Find out the percentage…

A:

Q: 04 * Find the equation of the line through (9, 2) with slope -2/3. Oy=-2/3 (x-9) + 2 or y = -2/3x +…

A: Given  line passes through x1,y1=9,2andslope (m)=-23

Q: Consider the following function: 5x 7x -11 1 -1 -7x 11 7 3 2 -X 12 0 0 0 1 f(x) = When f(x) is…

A:

Q: Use the Gauss-Jordan method to solve each system of equations. 2x - 3y = 2 4x - 6y = 1

A:

Q: A nuclear submarine approaches the surface of the ocean at 22.2 km/h and at an angle of 16.7° with…

A: Given velocity( v ) = 22.2 kmhlet angle( θ ) = 16.7°

Q: dy/dx = -3y(-2-y) y= ____

A:

Q: 06 * 1. Fish enter a lake at a rate modeled by the function E given by E(t) = 20+ 15 sin (Z). a rate…

A:

Q: Find the area of the region bounded by the graphs of the given equations. y = x2+3, y = −3+x, x =…

A: To find the area of the region bounded by the graphs of the given equations.y=x2+3, y=-3+x, x=-2,…

Q: Physics shows that when an object is thrown upward with an initial velocity of vo, then its…

A:

Q: A. Find all the partial derivatives of f(x,y) = 12x²y + 2xy + 5y²

A:

Q: Find f'(x) if f(x) = O (x²-5x) (3x²+29x-35) (6x+7)* O(x²-5x) (2x-5) 9(6x+7)² O(x²-5x) (-3x²+27x+14)…

A:

Q: Sketch the following graphs show how if possible thanks y an(6 1 -tan 2 0+ T 4 y = 3 cos(20+6)

A:

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: Question 1: F(t)= -{³ (a) 5. 2t+1 (b) 500-1500 t-1 The amount of money raised during a fund-raising…

A:

Q: F If f(3) = 5 and f'(x) ≤ 2 for 3 ≤ x ≤7, how large Use Mean Value Theorem) can f(7) possible be?…

A:

Q: Find sin 2x, cos 2x, and tan 2x if tanx = - N/W 3 2 and x terminates in quadrant IV.

A:

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

A:

Q: If x^(1/2)+y^(1/2)=x, then the slope of the tangent line at the point (4,4) is

A:

Q: Problem 3. A farmer has a rectangular field with dimensions 200m (north) by 150m (east). A sheep is…

A:

Q: 5) Find the following limits: E) lim ¹ x-0-3x D) lim y-0 sin(3y)cot (5y) y cot (4y) 7x3 X-00…

A: we find the limits .

Q: 4. Let ₁ and ₂ be two nonvertical lines with slopes of m₁ and m₂ (respectively), and assume that mi…

A: Note: Since, the student has mentioned to solve question Part no. (D), so we are solving according…

Q: Find the vector v = PQ. P =(4,5,3) Q = (4,8, 4) V =

A:

Q: 3 Foo = Find the Show 3x-1 X-1 Interse function F"(x) of Fcx) the domain and range of the inverse…

A:

Q: what is -16 IT 3 52" ST 5² p²rin & dp dp de 0

A: Recall the formula:

Q: (-1)n² n² n³n+2 lim n→∞ n³

A: limn→∞(-1)n2n2n3-n+2=?

Q: Find Vz. 8x +9y 8x9y NOTE: Give your answer in unit vector notation; that is, in terms of i and j.…

A: Topic = Derivative

Q: Example- Minimize (X₁, X₂) ==—=— (X₁ + ¹) + X₂ } 1) subject to 9₁ (X₁, X₂) = -X₁ +¹ ≤o 3₂ (X₁, X₁) =…

A: Solution is given below:

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

A:

Q: Simplify the expression by using a double-angle formula. sin 28° cos 28°

A:

Q: Solve using the quadratic equation.    2x^2 - x - 528 Mark all the solutions for x.   16.5   -16…

A: To solve the following polynomial by using the quadratic equation.2x2-x-528

Q: Given the vectors u, v and w in R³, which of the following calculations could result in the answer…

A: Given: Vectors u, v and w in R3. Final answer of Operation should be 3. Cross product of two…

Q: 3. 4 Determine the volume of the solid obtained by rotating the region bounded by y = √x, y = 3 and…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Which of the following angles in standard position has a reference angle of 20°? Select one: O a.…

A:

Q: Solve using the quadratic equation. 2x^2 + 4x - 1  Mark all the solutions for x. 2.346…

A: