9 outside cardioid r = 1 + cos 0 inside circle r = 3 cos ( 10 lemniscate ² = 4 cos 20 outside r = = √2

Q: 1. S x² (x+1)4 - dx

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Q: Find the general solution of the differential equation y"-y-6y 16e²t. NOTE: Use c₁ and ca for the…

A: Given  y"-y'-6y=16e2t

Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: consider the hyperbola represented by the equation - (x+5)^2/9^2+ (y-7)^2/13^2= 1

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Q: Find the centroid of the region bounded by y=x+3 and y=x²-3. O (1.098,1.68) O (0,1.68) O (1.68,…

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: TRUE or FALSE: Vectors u = (-4, 1, -2) and = 1 7 1 1

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Q: Evaluate the function at the given values of the independent variable. Simplify the results. f(x) =…

A: The given function, fx=6x-1

Q: Find the interest rate needed for an investment of $9,000 to triple in 7 years if interest is…

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Q: Verify directly that F is an antiderivative of f. 4x √4x² - 6 F(x) is an antiderivative of f(x)…

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Q: Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is…

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Q: Yaster Gadgets manufactures and sells a smartphones per week. The weekly price-demand and cost…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: y² = 8x,x=2, AOR = Y AXIS

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Q: Consider y=(3x^(2) +4)^(-5x)  Please find dy/dx and evaluate y'(0)

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Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: Let's sketch the graph and find tangent of given parametric equations.

Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: Which of the following is the normal line at the point (-1, 1, 1) to the surface 22 - 2y? - 35 - -4…

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.

Q: Identify the function represented by this graph. -5 -4 -3 -2 -1 5 4 3 2 -3 ✔ 1 2 3 4 5 x

A: Topic = Functions

Q: 7x³ - 7x lim x-1 2x² + 2x

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Q: The graph of which of the following rational functions has a hole (donut hole, a point of…

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Q: The slope of the tangent line to the curve y = 4 X at the point 5, is: The equation of this tangent…

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Q: 5) (10 ptos) Determine los puntos críticos de ƒ(x) = ²x³ + x² – 2 2x

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Q: Find the absolute extreme values of the function on the given interval. f(x) = 9x³ - 108x on [0, 5]

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Q: The average value of the function f(x) =2x + 6 on the interval [2, 5] is Select one: O True O False…

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Q: y = x², y = 4x - x²

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Q: q+m (v) m Submit Question 2 1 -6 -5 -4 -3 -2 -1 -1 2 3 A 16 5 1 Find an equation for the graph…

A: General equation  m=AsecBv-c+d Now we need to find A,B,C and D

Q: Find the divergence and curl of the vector field F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz) at…

A: Here we have to find the divergence and curl of given vector field.

Q: The tangent plane to the graph of at the point where (x, y) = (2, 2) (write the appropriate function…

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Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

Q: Consider the region B under the graph of y = 3x² + 1, x [1,3], and above the x-axis. Find the area A…

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Q: Calculate the following two indefinite integrals. Thank you. (6e^(2x)-5x^(3)+(4/x)+3)dx

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Q: Grandma wants to give you $540 at the beginning of each month while you are at school for 3 years.…

A: We know that, Future value = PMT × p {[(1 + r/n)(nt) - 1] / (r/n)} where, PMT is the periodic…

Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: The cost function for a particular product is given by C(x)=0.001x^3 −0.24x^2 +27.9x +110 dollars,…

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Q: Suppose that z = f(x, y) is implicitly defined as a function of x and y. Determine for 4x²z³ - 5yz²…

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Q: Q5. Evaluate the triple integral cos(y²) dz dx dy.

A: The given triple integral is;  Cos(y2), z from 1 to 3, x from 0 to y, y from 0 to sqrt(pi/2).

Q: 4. Compute the total volume of the shaded area of the figure below where the cross-sections are…

A: We need to find volume.

Q: Determine the x-intercept(s) of the functiony = 4(x + 7)³ − 32

A: To calculate x-intercept, we should plug y=0 in the given equation. Given equation is y=4x+73-32…

Q: The area of the surface obtained by rotating the curve y = √√x + 1, for 0 ≤ x ≤ 2, about the x-axis,…

A: Given :

Q: The graph of f is given. Find the following or write d.n.e. if it doesn't exist. If a limit is…

A: Consider the function

Q: Express e in the form a + ib. (Simplify your answer completely.) z = −7+3″ i 447

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Q: Q2. If F = (x² − y² + 2xz)ī − (2xz − xy + yz)j + (z² + x²)k, find the of curl F and curl of curl F…

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Q: 16 6xy ds, where C is the right half of the circle x² + y² = 4. Evaluate the line integral

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Q: Find the following limits (if they don't exist write DNE, ∞o or -∞o as appropriate): Answer: lim h→0…

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Q: 8.) A triangle has a base of 12ft long and an altitude of 8ft high. Find the area of the largest…

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Q: g(x)=3*-1 range y=()*__y=()*__ _y=(3) y =()* YA 2 (y=10²¹ C X O y=5t State the domain and range.…

A: Given  function:- g(x) =3x-1  To find:- Graph, Domain, Range and asymptote

Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

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Q: b) Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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