If 3x^2+3x+xy=5 and y(5)=−17y(5)=-17, find y'(5)y′(5) by implicit differentiation

Q: dr dt = -4rt such that when t = 0, r = ro

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Q: Use Squeeze theorem to evaluate lim ecotha cos(x). -0-x

A: Let us consider the limit limx→af(x). If h(x)<f(x)<g(x)  and  limx→ah(x)=limx→ag(x)=L then…

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A: Vector is parallel to another iff one is constant multiple of other .example: u=kv Orthogonal when…

Q: Which of the function is not an exact equation of the first order? OA. (ey + ycosx) dx + (xe³ + sinx…

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Q: Question 3 For what natural numbers n can the following expression: 1+2+3+ ... + n be a prime…

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Q: Let X be a Banach space and let P : X → X be a projection. If the kernel and range of P are closed…

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Q: (the ring all sequence of integers componer ise addition and ication). how that R as ideals I₁,…

A: Please check the next step for details. We have not used given hint but used a different easier…

Q: Differential equations -Undetermined coefficients a) x + (3x + 1)y=e-3x dx dy b)x+y=e* b) x dx

A: A differential equation of the form y'+p(x)y=q(x) is called linear differential equation and…

Q: Show that a nonconstant polynomial from Z[x] that is irreducibleover Z is primitive.

A: A non-constant polynomial is a polynomial in which the leading coefficient is non-zero and degree is…

Q: Consider the ellipsoid x² + y² + 42² = 41. Find the acute angle that the tangent plane at the point…

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: Find Vz. z = sin(5y² - 5xy) NOTE: Give your answer in unit vector notation; that is, in terms of i…

A: For any scalar valued function: z=f(x, y), it can be written that ∇z=∂f(x, y)∂xi^+∂f(x, y)∂yj^.

Q: If the future value F is calculated to be P1500 and the simple interest / is P150, how much is the…

A: Solution - 35 : Given future value F=P1500Simple interest I=P150

Q: dy Which of the following is TRUE about the differential equation x +y=1/2² dx O A. The equation is…

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Q: Consider the survival of a population of species S. Assume that if the population size fall below a…

A: Given:  Survival of a population of species S. Population size fall below minnimum survival level m,…

Q: Prove that if p is a prime and a² = 6² (mod p), then either a = b (mod p) or a = -b (mod p).

A: Details are typeset in Step 2. We use Bezouts theorem for gcd to solve this probelm.

Q: Select the logical expression that is equivalent to:-3xv(A(x) B(x,y)) -(A(x) B(x,y))…

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Q: A custom guitar shop sells two types of guitars: electric and acoustic. The creation process of each…

A: Given- The table is as follows:   Base guitarcreation Applying thefinish/paint Addingaccessories…

Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

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Q: Which of the following equations can be made into a linear differential equation? A. (x² + xy)dy −…

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Q: Let A be a 6 × 5 matrix with linearly independent column vectors a1, a2, a3 and whose remaining…

A: (a) it is given that A be a 6×5 matrix with the columns a1, a2, a3, a4, a5 and a4=a1+3a2+a3,…

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Q: me Cartesian coordinates of a point are given. (a) (-3, 3) (i) Find polar coordinates (r, 0) of the…

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Q: Let F be a field and let p(x) be irreducible over F. If E is a fieldthat contains F and there is an…

A: Consider the polynomial fx and gx over Fx. let px be irreducible over F and pa=0 for an element a in…

Q: Your character starts at position po = Compute the next position of the character given the…

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Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 O A. 1/4 O B. 1/2 O C.…

A: The given differential equation dy-y+xy5dx=0 We have to find the value of arbitrary constant C when…

Q: The domain for x and y is the set of employees at a company. Miguel is one of th company. Define the…

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Q: Determine the number of lines of symmetry of the giv

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Q: 2y dx = 3x dy with the initial condition y(-2) = 1

A: We have to solve the following differential equation                           2ydx=3xdy with the…

Q: Prove that the sum of five consecutive even numbers is divisible by five.

A: We have to show that sum of five consecutive even numbers is divisible by five.

Q: The function r(t) = (0, 5+ 3 cos (4t), 3 sin (4t)) traces a circle. Determine the radius, center,…

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Q: PLEASEE

A: We use given symbols to convert given proposition . Of

Q: g(t) = -tan² (2+) +sin (3+¹+8+³) [[// (++1)]] cot " (cosh (3+1)), ift 71 if t <0 ifo≤t≤1

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Q: What congruence do all integers of the form 6k+ 1 satisfy?

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Q: Carrie invested P25,000 (P) of her money. She expect her money to compound quarterly (m=4) at a rate…

A: We know compound interest formula A=P1+jmmt Where P is principal amount, j is rate of interest, m is…

Q: 3. Consider the canonical basis {₁,2,3} of R³ and let F = {f₁, f2, fs} be defined by =(1,0,-1), 72…

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Q: Let F, F ′ be forests on the same set of vertices, with ∥F ∥ < ∥F ′∥. Show that F ′ has an edge e…

A: Given Data: To Show that F ′ has an edge e such that F + e is again a forest.

Q: 50 200 B D

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Q: fill this following table: Exponential form Logurillanic form (1) ² = m log 10000 =4

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Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A: Given: The rate of change of the variable y in terms of another variable t is equal to the…

Q: 200 B

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Q: Show that 1-ei0|= 2| sin(0/2). [Hint: first multiply by e-i0/2. For this question, you may not use a…

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Q: Find the volume of the solid generated when the region enclosed by y = √√√x +3, y = √3x, and y = 0…

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Q: Solve the following differential equations with homogeneous coefficients. Show the test for…

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Q: Which of the equations below is a second order nonlinear differential equation? A. 2 "x²y - (1 -…

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Q: A new car costs $27, 000 depreciates to 80% of its value in 2 years. Round all answers to 2 decimal…

A: (a) Let the linear function is, ft=mt+c when t=0, f0=$27000, so, 27000=m0+cc=27000 when t=2,…

Q: The charactertistic polynomial of the matrix C = is p(x) = x²(x - 1). The matrix has two distinct…

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Q: Suppose that E is an extension of F and a, b∈ E. If a is algebraicover F of degree m, and b is…

A: Given : E is an extension of F To Prove : Fa , b  : F=mn

Q: The percent of high school students who smoked cigarettes on 1 or more of the 30 days preceding the…

A: Given,  The percentage of high school students who smoked on 1 or more of the 30 days preceding the…

Q: Prove that if (a, 91) = 1 and (b, 91) = 1, then 91 | a¹² - ¹². 12

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