Let f(x) 3x2+6. Evaluate lim h→0 f(4+h)-f(4) h

Q: Find the area of the triangle whose vertices are given below. A(0,0) B(-6,5) C(5,1) The area of…

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Q: 4. DETAILS - Let p(x) = a (x − b)5(x + c)³, where a, b, and c are constants and a is negative. Which…

A: end befavior is based on degree and leading coefficientleadinf coefficient(LC) is coefficient of…

Q: If the temperature is 40 degrees then the crickets do not chirp at all, and when it is 55 degrees…

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Q: To find the length of the curve defined by 6 y = 4x + 10x from the point (-3,2886) to the point…

A: Length of the curve

Q: Solve the equation: 1. y"+4y+3y=2x²

A: Given :y''+4y'+3y=2x2

Q: meaningless? Explain. (a) (a - b) c . . (c) a (b c) . (e) a . b + c (b) (a - b)c . (d) a (b + c) .…

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Q: 2π 3π (n-1)π n (#) sen (24)sen (34) sen (**)-((-1*) - ....sen n- n n 2"- a) sen 4π n n

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: Solve the given differential equation (where the function is subject to the given conditions) by…

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Q: While in home quarantine due to COVID-19, you decided to grow a certain shrub in your backyard.…

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Q: **************... For the function, find the second-order partials fxx fxy fyx and fy f(x, y) =…

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Q: Solve the given equation for x. (Round your answer to four decimal places.) 10 (1.06³x + 1) = 13 X =

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Q: ƒ(x) = 156

A: Solving the problem by finding the derivative.

Q: X 6. Compute the derivative of 21. x²+1° O zx O O x²+1 1-x² (x²+1)² O=1+x² x² +1 ONone of these

A: To find the derivative of given function

Q: The angle between two planes is the smallest angle 8 between the normal vectors of the planes, where…

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Q: Find the exact length of the curve Arc length Y 2x ≤2<1.

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Q: 8. If f(x) = √2x + 3 and g(x) = x - 1, what is the domain of g(x)f(x)?.✓✓

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Q: The graph below is the function y = f(x) + -2 -1 0 1. Choose all x-values where f is not continuous…

A: Given:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Volume

Q: If lim f(x) = 2.5 and lim f(x) exists, then what is the value of the limit where it exists? T→3 2-3…

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Q: Find the orthogonal trajectores for: y² - x² + 4xy - 2cx=0

A: Here we have to find the orthogonal trajectory.

Q: Find the plane determined by the intersecting lines. L1 x= -1 + 4t y = 2 + 2t L2 x=1-4s y = 1+2s…

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Q: A closed box is in the shape of a rectangular solid with dimensions ?, ?, and ?. (Dimensions are in…

A: Let dimensions are ( x , y , z ) As we know that total surface area of rectangular box ( A ) = 2( xy…

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

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Q: 9 A company's marginal cost function is √x where x is the number of units. Total cost: $ Find the…

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Q: A. Find a nonzero vector orthogonal to the plane through the points  P, Q, and R. B. Find the area…

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Q: ulate the limit algebraically. (If an answer does not exist, enter DNE.) lim (3x + 2√x) X-9 e limit…

A: Given query is to find the limit.

Q: For the sequence an = an-1 + An-2 and a₁ = its first term is its second term is its third term is…

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Q: p(x) Suppose p and q are polynomial functions. If lim = 3 and q(0) = 4, find p(0). x→0 9(x)

A: Here we have to find the value of p(0).

Q: Ive the initial value problem for r as a vector function of t dr ferential equation: dt 3t i-5t j-…

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Q: Find the sum of the series below. Σ n=1 48n (2n-1)² (2n + 1)² The sum of the series is.

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Q: A particle moves along the path y = 3x² − x³ with the horizontal component of the velocity equal to…

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Q: 10) The radius of convergence of the power series E-o n² (z - i) ²n is (a) 1 (b) co (d) None of…

A: 10. The given data is: ∑n=0∞n2z-i2n Find the radius of convergence of the power series.

Q: 33-37 Find the direction cosines and direction angles of the vector. (Give the direction angles…

A: You have asked question number 37, So, I have to solve Only question No. 37.

Q: Let R be the region inside the polar curve r = cos(0) and inside the polar curve r = 1 - sin(0), as…

A: Area bounded by curves

Q: Evaluate fcosh³ xdx

A: ∫ cosh3xdx

Q: Find a value for the constant c so that the function с if x < 8 f(x) = { x-10 6x 1 - if x ≥ 8 is…

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Q: Find the directional derivative of ƒ (x, y, z) = in the direction from P to Q(5, 6, –4). NOTE: Enter…

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Q: Find the exact value. tan 0 = — where 90 ≤ 0 < 180 Find: sin 01/201 /5 2 O 2√5 5 √5 5

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Q: Given the point A (4,-3,2) and th plane P: 5x - 4y - 3z = -24. LetL be the line through A…

A: This is question of calculus  Here one plane and one line is given  We have to find line point on…

Q: Current Attempt in Progress Using the table below, create a table of values for f(g(x)) and for g…

A: Solving the problem by finding the value of the function.

Q: Use a finite sum to estimate the average value off on the given interval by partitioning the…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Use this definition to find f ′(a) at the given number a. f(x) =    6x + 7,    a = 7

A: Solution: Here  f(x)=6x+7 Derivative w.r.t  x ,we get

Q: Find B and t for the space curve r(t) = (6 sin t) i + (6 cos t)j + (8t) k. T - (cost) i+ [-sin t) ;+…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Given Differential equation,2xyy' + y2 = 2x2

Q: II. Get the transfer function of the differential equation: 2. y"+ 3y'+4y=x" - 2x²+x

A: Given :y''+3y'+4y=x''-2x'+x

Q: For the open-top box shown below, find formulas for the volume and the total amount of material (the…

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Q: Find  f ′(a). f(x) = 2x2 − 3x + 3 f ′(a) =

A: The function is  f(x)=2x2-3x+3

Q: The size of an exponentially growing bacteria colony doubles in 5 hours. How long will it take for…

A: Solution: Q.9  Using formula P=P0ert