If f is continuous and 4 0 f(3x) dx. 12 [™* f(x) dx = 50, find

Q: -2 -2 g(x) 2 0 lim f(g(x)) x--2 Graphical; 4 2

A: we have given graph of f(x) and g(x). To find: limx→-2fgx

Q: (-3,3)- x = 2y-y² X

A: We use Horizontal strip to evaluate the area

Q: Consider the function f(x) = 2x³ +39x² - 240x +9. This function has two critical numbers A B: and…

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Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

A: Given that  radius of the cylinder r=5cm radius of sphere  R=9cm

Q: Find the limit: lim1 [(x-1)(x+2)/(x-1)]

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. √x +…

A: Here, to find the area of the region bounded by the graphs of the equations: x+y=5x=0y=0 Here, y=0,…

Q: Evaluate the iterated integral. √64 - y² ST 0 10 (x + y) dx dy

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Q: Use the given transformation to evaluate the integral. The (x - 10y) dA, where R is the triangular…

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Q: 221. y = y = (3x² + 1)³ 223. y = y = ($+7) 772 SHALL NO 225. y = сsс(лx + 1) 227. y = -6sin ³x -3

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Q: Approximate the area under the graph of F(x) = 0.3x³ + 3x² -0.3x-3 over the interval [-6, -1] using…

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Q: 1 1. y= 2. g(x) = x² + √ 3. Evaluate 12 - sin x 1² x² sin x³ dr

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Q: 1. An arrow is shot into the air and its height in feet after t seconds is given by the function…

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Q: Write an equation (any form) for the quadratic graphed below -5-4-3-2 3 N - de 4.1.1

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Q: Find the absolute maximum and minimum values of f (x, y) = x + y − xy on the set D. D is the closed…

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Q: Let f(x)=x²-12x+3. Find the critical value for f(x). We want to find the absolute extrema of on the…

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Q: 2: Let the demand function for a product made in Hartford is given by the function D(g) = -2q +290,…

A: The given demand function is:D(q)=-2q+290

Q: Find the interval of convergence of 8 ∞0 n=0 9n (2n + 1)! Incorrect (Give your answer as an interval…

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Q: Find the Jacobian of the transformation. X = 5es + t I y = 8es - t a(x, y) a(s, t) =

A: Jacobian of the transformation is given by ∂ x,y∂ u,v=∂x∂u∂x∂v∂y∂u∂y∂v

Q: 2. Solve the linear congruence 35x ≡ 77(mod89).

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Q: Find the most general antiderivative for the function Antiderivative = ? 6 -

A: ⇒fx=6x3-4x23

Q: Find the tangent plane to the equation z = 2= - 2x² + 2y² + 5y at the point (4,3,1)

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Decide which of the following properties apply to the function. (More than one property may apply to…

A: This problem is related to function. Please follow the procedure given below.

Q: A differential equation is given as, (4y-e³x) dx +(4x+6) dy = 0 a) Identify M and N b) Then, show…

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Q: how do you find 87=a+b+c for x^2 and -3a-5b+2c=190 for x

A: The solution is shown in step-2

Q: For the following exercises, find functions. 175. y=x²-secx + 1 176 177. y = x² cotx 179. y = Sec.x…

A: Use rule of differentiation (u.v) form  and (u/v) form as I have done in solution

Q: This question is not about solving the stated problem, but about understanding it. A company's…

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Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0)…

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Q: Find the area of the "triangular" region in the first quadrant that is bounded above by the curve y…

A: Area

Q: Find lim h→0 f(2+h)-f(2) h if f(x) = 7x -4.

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Q: Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. f(x)…

A: To find the degree, leading coefficients, and the maximum number of  real zeros of the following…

Q: K A clothing company determines that its marginal cost, in dollars per dress, is given by the…

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Q: Define F(x, y, z)=(xyz, x² + yz,1+ 3x) for (x, y, z) in R³. Find the derivative matrix of the…

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Q: Given the vector function r(t) = (-4t, 5t¹, t5 + 2) Find the velocity and acceleration vectors at t…

A: Velocity: v→t=dr→tdt Acceleration: a→t=dv→tdt

Q: Let L, denote the left-endpoint sum using n subintervals. Compute the indicated left sum for the…

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Q: 3. The axes of two right circular cylinders of equal radius 36 cm intersect at right angles. Find…

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Q: - (1) (သို့ ) ခ -1 1 e() iplex p

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Q: Suppose that f(2)=-5, g(2) = 2, f'(2) = -3, and g'(2) = 1. Find h'(2). (a) h(x) = 2f(x) 4g(x) h'(2)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 5y = e²x = 4. y" - 4y' - 4y' + 5y CSC X 9. (D² - 2D + I)y = 35x³/2ex

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: Use the following information on pH. Chemists define pH by the formula pH = -log10[H], where [H+] is…

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Q: A particle moves with a position function of r(t) = t Inti + t²j + te¯²tk. Find its velocity and…

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Q: The diameter and the altitude of a right circular cone are 10 cm and 16 cm, . respectively. Find the…

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Q: Question 20 Find derivative of y = x. Inx hint: use product rule In x Onone of the above O In x + 1…

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Q: Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 9 + x²…

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Q: (a) Use the Quotient Rule to differentiate the function tan(x)-1 sec(x) f'(x) = (b) Simplify the…

A: a. We have given function fx=tanx-1secx formulas are (i) d dx(ab)=b×d dx(a)-a×d dx(b)b2(ii)  d…

Q: Find the coordinates of the point (x,y) on the curve y=2x+1 that is closest to the point (6,3) .{…

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Q: Determine all critical points for the function. f(x) = 45x³ – 3x5 A. x= -3 O B. x=0, x= -3, and x =…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A: Given: f(x)=x3+5x-24 We are required to find: Intervals on which f(x) is increasingIntervals on…

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

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Q: How many one-to-one functions are there from the set A=(1,2,3,4,5) into the set B={1,2,3,4,5,6,7,8)?…

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Q: Use your graphing calculator to solve the equation graphically for all real solutions 2³-6x²+x+28 =…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…