Find the equation of the tangent line to the graph of the function f(x) at the point (0,-2) x+9 I-4 Enter the exact answer. a b √a lal TT sin (a) - B

Q: P1 Find an equation for the curve that passes through the point (1,0) and whose slope at (x, y) is…

A: GIVEN POINT IS (1,1)   GIVEN SLPOE IS    xey   formula for slope is   dydx

Q: 12. Consider the following (true) claim and two possible proofs. Claim. If n is a positive integer,…

A: Claim:   If n is a positive integer, then n2+3n+2 is not a prime number.

Q: 8: Find the relative extrema of the function f(x) = e(2³-3²).

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: we will find the required.

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Q: Find the point (xo, yo) on the graph of y = x³ + 6x² + 4x – 5, at which the slope of the tangent…

A: Topic = Functions

Q: The matrices D and F are defined as follows. 21 0- (²4³) D = 04 -1 FD= F = -1 04 13 Carry out the…

A: The given matrices are  D= 21304-1 , F= -120413 Find FD.

Q: Suppose the cost function for producing gadgets is C(q)=750+3q^2. At what production level is the…

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Q: 3. (a) Suppose that f'(x)=√(12-5x), and ƒ(4) = 3. Find f(x). Show all work. (b) If g"(t) = 3 cos(t)…

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Q: Write a system of inequalities that represents the points inside the triangle with vertices (-2,…

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Q: Given the vectors v and u, answer a. through d. below. v=6i + 3j-2k u = 8i + 15j

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: (1 point) Consider the function f(x) = X 2x² +5 List the x values of the inflection points of f. If…

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Q: Evaluate [] ry dA, where R is the region in the first quadrant bounded by the coordinate axes R and…

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Q: Write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

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Q: Let f(x) = 9xe-² Find all critical numbers and inflection points of f (x). Enter the largest x value…

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Q: 1. Find the derivative y = ln x 20% lim sin 3x lim 2. Find (2) 10 (1) x → 0 2x

A: Solution: 1. y=ln(x) differentiating with respect to x dydx=ddx(ln(x))

Q: 18. 2x² - 3y³ = 5; (-2,1)

A: Given query is to find the derivative.

Q: Test the series below for convergence using the Root Test. 4n² 8n + 5 n=1 The limit of the root test…

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Q: 11. q = D(x) = 100e-0.25x, 100e 0.25x; x = 10

A: Given data, Function q=Dx=100e-0.25x

Q: Use matrices to solve the system of equations. (Use the parameters x, y, and z as necessary. If…

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Q: X y y= 1 2 3 4 5 682 3393 7953 15575 26021 Use linear regression to find the equation for the linear…

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Q: 1. An object is moving along a straight line and its velocity at time t is given b v(t) = t² − 4t -…

A: Given :- ⇒vt=t2-4t-5 By completing square method ⇒vt=t2-4t+22-22-5 ⇒vt=t-22-9 vertex (2,-9)

Q: Find the values of sin 20, cos 20, and tan 20 for the given interval and value. - 2. cos 8 = -(,) 4.…

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Q: During 2015, a particular country's inflation rate averaged 1.2% a day. This means that on average,…

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Q: ܚܘ Problem 3 Bacteria are reproducing in concentric rings in a petri dish. The circular area…

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Q: [Wind-Chill Index] [C] [S] The wind-chill index is given by W(Tv) = 13.12 +0.6215T-11.370.16…

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Q: r(x) is the image of y=2x2+12x+2 after a translation left 2 units and up 3 units, write the equation…

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Q: Compute the inverse matrix, if it exists, using elementary row operations (as shown in Example 3).…

A: Inverse of matrix

Q: 4. For each function that is one-to-one. a) Find the inverse of the function, b) Graph fand f-¹ on…

A: (4). (a).The given function is:f(x)=2x+6x-3 ;       x≠3

Q: Find the exact area of the surface obtained by rotating the given curve about the x-axis. 8. x = a…

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Q: Solve for the General solution of the following differential e- 1. S 2. J 3. sin x dy (sin x cos³ x…

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Q: the answer is incorrect when put into my homework

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Q: Given the graph of f(z) above, find the following limits. (a) (b) lim f(z) - 1-4-00 lim f(z) = 6 818…

A: Topic :- limit calculus

Q: Let f(x) = X a) Compute ƒ'(x) using the definition of the derivative: f '(x) = lim S (x + h)− ƒ (x)…

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Q: Set up an integral that represents the area of the surface obtained by rotating the given curve…

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Q: Find the angle of intersection between S and P

A: You must have calculated the equation of the plane P, at part (a). plane P => 5x - 10y + 4z + 5…

Q: The function f has a domain of [0, 4] and a range of [0, 2]. Start by sketching a potential graph of…

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Q: Find the points on the curve x = cost, y = 2 sin t, 0≤ t ≤ 2π. at which the tangent is a)…

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Q: Equations Linear in Two Variables 2. (2x+3y-1)dx + (2x+3y + 2)dy=0 x(3) = 1

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Q: (a) Suppose y = f(x) is an unknown function but that you know that f(4) = 11 and f'(4) = -0.18.…

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Q: Solve the differential equation. 5 y

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Q: A triangle has a base that is increasing at a rate of 2 cm/sec and a height that is decreasing at a…

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Q: A company's revenue from selling a units of an item is given as R = 1300x - x². If sales are…

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $11 the…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

A: Let radius of sphere=r cm  We use Volume of sphere=43πr3

Q: The graph of a polynomial function f is shown below. a. The root(s) of f with odd multiplicity is…

A: Note: Since, the student has mentioned to solve parts (c) and (d), so we are solving accordingly to…

Q: Consider the following series. 9 Σ n In(n) n = 2 Does the function f(x) Yes No = 9 x In(x) 9 x In(x)…

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Q: The altitude of a triangle is increasing at a rate of 2 cm/min while the area of the triangle is…

A: Explanation of the answer is as follows

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dt x +…

A: As we know from the Chain rule: dydx=dydt·dtdx And use the Power law: ddxxn=nxn-1   Given:…

Q: Determine whether the series is convergent or divergent. In(n) n² Σ n = 2 O convergent divergent

A: To determine whether the given series is convergent or divergent