A survey was given asking whether people like dogs and/or cats. 123 said they like dogs 185 said they like cats 62 said they liked both cats and dogs 50 said they don't like cats or dogs. How many people like dogs but not cats? people like dogs but not cats.

Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: To Examine: The given graph can represent a polynomial function or not.

Q: (a) State the Fundamental Theorem of Calculus Part I

A: As per our guidelines only first question is solved. For remaining questions kindly repost the…

Q: 3-solve the following system of linear equations using Gaussian elimination approach (backward…

A:

Q: Answer the following questions for the function defined on the interval [-5, 7]. a.) f(x) is concave…

A: From the above details we have,

Q: Let f be a function with 2 + 3i as the only singular point of it. If 2 + 3i is a removable…

A: Given f be a function with 2+3i as the only singular point of it. If f is a removable singularity of…

Q: Find the general solution to the differential equation y²y" = y' (where y' = dy) Find the general…

A: We have given a differential equation ,  y2 y'' = y' We need to find general solution of given…

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

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

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: Introduction: Whether a set is finite or infinite is determined based upon its cardinality. When the…

Q: A Surface Aren S= S2x $ (v)√1-gin + 1-1/₂ = ² "2² (6² - y²) => y=b √4₂²2²-2² 62 S= D SER SUTH (FWD)…

A: From the above details we have,

Q: Simplify the following with out cesing + cеsingtue deного inator 5 3+i

A:

Q: Determine the form of a particular solution yp of Ур y" + 4y = x cosx. Do not solve the equation.

A: Here given the differential equation as y''+4y=xcosx or D2+4y=xcosx where D=ddx

Q: Use the Green's Theorem to evaluate the line integral Sc y³dx + (x³ + 3xy²2)dy where C is the path…

A:

Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

A:

Q: The number of bacteria in a culture at the start of an experiment is 100. Eight (8 hours later the…

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Q: : Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x +2y-z = 4

A:

Q: 72 n²+1 7. Given a series En=1(-1)"-1 a. Determine whether the series absolutely converges or not.…

A:

Q: Determine the height (h) using Regula - Falsi method from the function if r = 3m, L = 3m and V = 14…

A: Given function is V=r2cos-1r-hr-r-h2rh-h2L              (1) Here V=14 m3, r=3 m, L=3 m Putting all…

Q: Find the general solution of the differential equation y" - 10y' + 61y = 0. NOTE: Use c₁ and c₂ as…

A: given differential equation y''-10y'+61y=0

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: 9.6.29 Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center…

A: Introduction: Every transformation corresponds to a mathematical definition. It is referred to as…

Q: 6. Given the demand equation, P = 100-Q, calculate the price elasticity of demand when P=3 $(a+ß).

A:

Q: can you please re-explain "property of norm" step

A: we have  Ux1+x , r=y∈X :y-x1+x<r expand the bracket Ux1+x , r=y∈X :y-x1-x<r…

Q: P Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of…

A: Given that quantity of Carbon-14 present after t years is Q=612t5715 Solution (a) Initial quantity…

Q: Use the divergence of the vector field to compute F(x, y) = (tan-¹ (2x) fo tan¯¹ (2x) 4 where is the…

A:

Q: The Laplace transform of a function f(t) is given by the expressions F(s) = Lif(t)} = S(0) "dr Find…

A: since subparts are not related so solving only 2 subparts.

Q: Choose all of the correct answers for each of the following: Consider the relationship R between two…

A: A] For one to one relationship both Entity E1 and E2 have direct relation. You can make any table…

Q: 10. Find f'(x), f"(x) and f f(x) dx for the following power series a. f(x) = 1 n-³ xn b.Σ=1 (x-1)+1…

A:

Q: Find the indefinite integral using each method. (Use C for the constant of integration.) x³ √ √ 3 +…

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Q: sent that by a positiv ntity N(0) is 2.

A: Given as, dNdt=?N0=?

Q: Find the four fourth roots of 7+27 and express the roots in polar form. [A] 1.64 cis 3.99°, 1.64 cis…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 2 (1) lim,-ol; (2) lim 0 x ³ (tan-¹x-x)…

A:

Q: b) Hence or otherwise prove that there do not exist three consecutive integer values of n for which…

A: First let us assume that 29n+5 is a perfect square for some consecutive integers n and n+1. Then…

Q: 2. the approximated roots for equationf(x) = e* - 3x in intervals [1,3] is found to be 1.34 find the…

A: Given function is fx=ex−3x. And the approximate roots for equation fx=ex−3x in intervals 1,3 is…

Q: Let X₁ be a closed subspace and X₂ be a finite dimensional subspace of a normed space X. Prove that…

A: Here we have given that X1 be a closed subspace of a normed space X. So, the quotient space XX1 is…

Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: Find an explicit solution to the initial value problem: dy = dx y(x) = ex - 5y y(0) = 0

A:

Q: max (x-1)² - 1 s.t. 0≤x≤2

A: Here follow the python script.

Q: Find the volume of the solid generated by rotating the region bounded by f(x) = 2-x², g(x)=√1-x², x…

A: We know The volume of the solid formed by revolving the region between curve fx and curve gx around…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: To find: The given statement is true or false. Please post the multiple questions separately. Here I…

Q: find the smallest positive root of tan x-x=0 which of the following re-arrangemen opriate? the…

A:

Q: If f is the function defined by f(x)=√x2 + 4x and g is an antiderivative of f such that g (5) = 7,…

A: We know the definition of antiderivative ,  The antiderivative of the function f is a function F…

Q: r(t) = (t,3t,t²)

A:

Q: To help open up a wine bar, Keiko borrowed money from a bank. She took out a personal, amortized…

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Q: (3-zi) (x+y)=3+2i x+2=1 X

A:

Q: 1.) Solve the following differential equation for x(1)=1 and h=0.1 using the 4th-degree Runge-Kutta…

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

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). (a)Sketch a graph of the vector BA with…

A:

Q: (2) y = tan³√/cot (7x)

A: 1. Given: lnx-y=xy+y3 Differentiating as, ddxln x-y =ddxxy+y3⇒1x-y1-dydx…

Q: Verify that there is no magic square of order 2.

A: We will verify that there is no magic square of order 2 using the proof by contradiction.

Q: Match the graph of the surface with one of the contour maps. f(x, y) = e¹ x² + y² O 3 4 y x

A:

Q: 2. Suppose that B = 10 1 [000] 10 1 such that TB: R3 -> R3 Determine: (1) ТВ Kernel (TB) Range (TB)…

A: Here given matrix as B=101000101 This matrix is the standard matrix of the linear transformation TB