Question Given the triangle below, find tan(0). Enter the answer as a fraction. Provide your answer below: tan (0) сл 12 13 0

Q: dz 6. If z²x²y (where x, y, and z are positive), then what is dt dy dt e C given that dz dt BU Font…

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Q: Find the smallest possible sum of the squares of two numbers if their product is -9.

A: we need to find out the smallest possible sum of the square of the two numbers whose product is…

Q: Find the area between the curves Area = x = y² - 2y +36 x = -y² - 20y

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Q: Oppgave 1 Bestem om disse konvergerer eller divergerer: a) {(en)-¹} b) c) n

A: Note:-Since you asked multiple questions, according to our policy we can solve only first question…

Q: 3-16 ■ Find dy/dx by implicit differentiation.

A: given equation

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A: The given equation is  on the interval [-2,2]As per the intermediate value theorem, if the function…

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A: In this question, we need to plot the graph of the given function f(t).

Q: Evaluate the limit: lim sin t t

A: we need to find the limit.

Q: Please make sure work is legible

A: a . 14129.74b.  14159.92c.  14180.36d.  14190.68 Complete solution given Explanation: Thank you…

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Q: Find the limit for lim x -> 0 for cos(1/x)

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Q: 5. Find the equation of the tangent line to the curve f(x) = 2x4 +5 that is parallel to the line 64x…

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Q: Consider the functions f: R -> R given by f(x) = 2 + 3x + x2cos(1/x), when x > 0 f(x) = 2 + 3x…

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Q: Let f be a differentiable function such that f(-4)= -9 and f'(x) = -x +4. What is the approximation…

A: Let f be a differentiable function such that .To find the approximation for  found by using the line…

Q: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use…

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Q: Find the limit. lim tan x X->(T/2)* OA. 1 OB. 0 OC. ∞ OD. - 00

A: Given limit is

Q: Given lnln2equals=0.6931 and lnln5equals=​1.6094, find ln left parenthesis 4 e right…

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Q: The area of a square is increasing at a rate of 36 square inches per second. At the time when the…

A: The objective of this question is to find the rate of change of the perimeter of a square when the…

Q: Let f(x) = -4x5√x + f'(x) = -22x 72 9 - 35 22x 5 x³√x 9 X

A: solution given below

Q: In section 5.8, we saw that f1 du = tan ¹(u) + C. Use algebra, a u-substitution, then this formula…

A: we need to find out the integration.

Q: 6. Find the value c such that the line y = x + 3 is tangent to the curve f(x) = c√x. Make sure to…

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Q: Find the volumes of the solids z=1-r z=-sqrt(1-r^2)

A: The objective of the question is to find the volumes of the solids defined by the equations z = 1 -…

Q: (a) Say that Evaluate the following integrals. (b) 5 [*₁ f(x) dx = a³. f(x) dx = 6π/4 + f(cos(x))…

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Q: Let f(x)= 1. f'(3)= 2. f'(6)= = 4 VT Evaluate each of the following:

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Q: Determine the average value of the function f(x,y)=squareroot(x^2+y^2) over the region D� bounded by…

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Q: Compute the given improper integral. Enter the exact value of the answer. | 3 5 1 √x² 9 [ -dx =

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Q: Find the limit. lim t→0 e −6t ¡ + t² sin²(t) (k) k -j + tan(7t)

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Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A: Suppose that over a certain region of space the electrical potential V is givenby the following…

Q: The exponential model A = 225.9e0.023t describes the population, A, of a country in millions, t…

A: The population of Country will be 440 million in 2032Explanation:

Q: X a) lim ²-9 x -3 x+5 b) lim -4 x 4 √x-2 c) lim x 3 2x²-5x-3 x²-x-6 d) lim 2x+7 4x-12 x 3

A: a) limx→−3x2−9x+5

Q: Ay The secant slope through the points (x, f(x)) and (3,7) is: AT (A). And the instantaneous slope…

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Q: True or false and justify answer: f(4)-√2 2 1-sin²x, then fax)= COSX

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Q: Calculus I May I please have the solutions for the following question? Thank you so much.

A: To find:-

Q: Find c> 0 such that the area of the region enclosed by the parabolas y = x² - c² and y = c² - x² is…

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Q: 3. Suppose z = f(u, v), where f(u, v), fu(u, v) and f(u, v) are differentiable functions of u and v.…

A: given

Q: If r(t) = 0, show that r(t) = rr(t) · r'(t). (Hint: |r(t)|² = r(t) · r(t).)

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Q: Determine the intervals of continuity for the following function. Ay Q 5- 4- 34 2- y = f(x) G Choose…

A: To determine the intervals of continuity for the following function.

Q: A cardboard box without a lid is to have a volume of 16,384 cm³. Find the dimensions that minimize…

A: Let the length of the box ftLet the width of the box  ftLet height of the box  ft

Q: If g is a function such that when the limit tends to 2 for the graph of g the graph approaches 4,can…

A: The condition of existence of limit at

Q: 1. Find the positive number(s) b such that the average value of y = 2 + 7x-x³ on the interval [0, b]…

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Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A: The given function is

Q: Complete the equation for the piecewise function graphed below. 6 -6 -5 -4 -3 -2 -1 16 5 4 3 2 O My…

A: Graph given

Q: How do you integrate In = ∫yne5ydy ?

A: The objective of this question is to find the integral of the function I_n = ∫y^n * e^(5y) dy. This…

Q: The demand for a new computer game can be modeled by p(x) = 55-4 Inx, for 0≤x≤800, where p(x) is the…

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Q: The radius of the spherical balloon is increasing at a rate of 4 inches per minute. At what rate is…

A: Let V be the volume of the spherical balloon. Let r be the radius of the spherical balloon.

Q: Tutorial Exercise Find the inflection point(s), if any, of the function. 9g(x) = 6x³9x² + 4x - 9

A: we need to find out the inflection points of the given function.