lim x → 0 cosx−1 -1 X

Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: 1. (Section 14.1) Graph the curve given by vector function 7 (t) = of positive orientation. Do not…

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Q: Find the differential equation for the given family . y ^ 2 = C * x ^ 4 - 2

A: The given  equation is; y2=Cx4-2.

Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: 3 TT The volume, V, of a sphere in terms of its radius, r, is given by V (r) = 7³. Express r as a…

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Q: 2. Verify that the function is solution to the given differential equation. et 1+ et d.P dt =…

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Q: 3) Prove that : tanz = 올n(부를) In

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Q: Find a formula for the described function. An open rectangular box with volume 7 m³ has a square…

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Q: u սյ # P Express numbers in exact form. Use symbolic notation and fractions where needed.) ||U₁v ||…

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Q: Define g(2) for the given function so that it is continuous at x = 2. 2x²-8 2x - 4 g(x)= Define g(2)…

A: We can find the correct answer in the below steps.

Q: Gratio and proportion diameter of x =…

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Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A: Given:- Find a vector parametric equation r⇀t for the line through the points P=4,-3,4 and Q=3,-6,2…

Q: Find a formula for the described function. A rectangle has area 16 m². Express the perimeter of the…

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Q: How many of the following relations are functions? ((-1,1), (1, 2), (2, 2), (2,-2)} N-1 5r-6y - 12…

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Q: Find the set of all solutions of each of the following differential equations.  y" =32.

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Q: What are the steps to factor x3-3x-52

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Q: Given s(t)=t² + t, find (a) v(t). (c) the velocity and acceleration when t = 4. (b) a(t). (a) v(t) =…

A: Concept: The instantaneous velocity at a given time is the derivative of a function that represents…

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: each pair of functions f(x) and g(x), find the following. F(x) = x²³ +6; g(x) = -1/2 f(g(x)) f(g(x))…

A: Topic:- function

Q: This question has several parts that must be completed sequentially. If you skip a part of part.…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: does the series  E infinity/n=1  2^n/3^n converge or diverge a)the series converges because its is…

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Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: What about the graph, where to plot the both lines ???

A: As S denotes the number of bowls of salad and P denotes the number of pizza slices .Also given that…

Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: AJ Evaluate the following relations for given values 1) f(x) = x=1 Find a) f(1) x+2 b) f(a + 1)

A: Here we have to find the value of f(x) at given values. Here you ask for only 1st part.

Q: Q1) Evaluate: (a) fe²_1_dx Inx sin ¹x 1-x² dx (b) f 1- cos dx (e) Jỗ 2sinx cosx dx (c) | Inx dx

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Q: Differentiate. dy dx y = 2x³ - 5x² + 7x +4 ||

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Q: In Exercises 1-8, find the domain D of the function. Give your answer in interval no X 1. f(x) = 3x³…

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Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α v→=αu→

Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: 3. X+Y)/4=5Z

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Q: Represent N/ks^2 in the correct SI form.

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Q: For the function defined as follows, find a. f(x + h), b. f(x+h)-f(x), and c. [f(x +h)-f(x)] /h. 11…

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Q: b) Find the domain and the range of the following function: f(x)=√x²-25

A: Please see the below picture for detailed solution.

Q: solve the equation  2×+6-4(×+1)=3×+5

A: This question can be solved using the concept of solving linear equation in one variable.

Q: x-2 x-2x²+x-6 5. Evaluate: lim

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Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: Graphs of f and g are shown. Is f even, odd, or neither? even f odd neither Explain your reasoning.…

A: The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An…

Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Let f(x) = 4x - 9. Simplify each of the following expressions. f(a)= 4a - 9 f(a+h) = 4a +4h-9…

A: Given query is to perform indicated operation on th function.

Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

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Q: Express (5x + 7y, 8x + 5y, 0) as the sum of a curl free vector field and a divergence free vector…

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Q: Given the graph of f(x) = √√x as shown, graph the function 3 f(x + 4) - 3. -7 -6 -5 -4 -3 -2 -1 7+…

A: Solve the following