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Q: Find: W(e2x, –5e3x) A. 5e3x B. 4e5x C. -5e5x D. -4e* E. None

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Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: Write the equation of a sine or cosine function to describe the graph.

A: We know the general form of sine isy=asin(k(x-θ))+bb is the vertical shift of the graphfrom graph…

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Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

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Q: Use the log rule of differentiation and differentiate y with respect to x.  y = ln( 8 + ex 8 − ex

A: given function

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. O…

A: Using greens theorem

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

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Q: Determine the gradient of f(r, y) = ez sin(5y) at (r, y) = (3, – 1). Round to 2 decimal places. V…

A: Given query is to find the gradient at indicated point.

Q: 231 arginal cost of a product is given by 154 + dollars per unit, where x Is the number of units…

A: Given query is to find the increased in cost.

Q: (235 – 4.x25 + 2x)dx

A: The detailed solution is given below Thank you

Q: Find a particular solution of the DE: y" – 6y' + 8y = 64x?. C. yp = 8x + 12x + 7 E. None A. Yp = 4x?…

A: Solve it

Q: —2х Se-2x sin 3x dx

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Q: Solve the following differential equations of dy 1 y= xy': + dx

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Q: Find the area of the region enclosed between the curves defined by the equations y = vx +2,y= x ,…

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Q: 2) Center: (11, 16) Radius: 1 4) Center: (-4, 0) Radius: 7 6) Center: (-7, -12) Radius: 3 8) Center:…

A: The Equation of a circle : (x - h)2 + (y - k)2 = r2 Where, r = Radius of the circle (h,k) = Center…

Q: Find the area of the region bounded by the graphs of the given equations. Enter your answer in exact…

A: Given :

Q: [1 1 3 3 1 3 3 0 2 1 1 1 1 2 0 1 2 1 0 1 1 3 6 2 1 4 2 3 2 1 2 4 2 1

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Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

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Q: | sin³(18x) dx =

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Q: 6) Determine constants a and b such that f(x) is continuous for all values of x. ax + 3, if x> 5 8,…

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Q: b) Find the inflection points. 4. For the given function find the local extrema using the Second…

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Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

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Q: Find a particular solution to the DE: y"+ 3y' – 4y = e* xe B. Yp = C. Yp = x²e* D. y, = xe-x E. None…

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Q: The surface S i parametrized by equations x = u + v, y = 3u², z = u – v; The point P (2, 3, 0) lies…

A: Given that the surface S is parameterized by equations x=u+v, y=3u2,z=u-v; the point P(2,3,0) lies…

Q: Evaluate the indefinite integral. .3 6 + x*dx

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Q: 1 Answer: diverges n In n n=2

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Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: 5. show that the equaution sin X-3x+1=0 has only one real root

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Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: Solve the initial value problems: y^ prime =6+5y+y^ 2 ; y(0) = 0

A: We need to solve D.E.

Q: Find the directional derivative of f(x, y) = sin(x + 2y) at the point (-2, -3) in the direction 0 =…

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Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

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Q: 4. x = VI - i , y = t³ – 3t

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Q: Use Green's theorem to evaluate F• dr. (Check the orientation of the curve before applying the…

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Q: Find the area oF the regioN eNclosed between the curves de Fived by the equations y =Vx +2, y: x,…

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Q: dy y- 2x. dx = x(x+1)y %3D

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Q: find the flux of 3 – e")i+ (y³ + sin z)j+ (z³ – unded above by z = V4 – x² outward orientation.

A: We have to find the flux using the divergence therom according to the given information

Q: - In(a°y*) + x2 Consider z as a function of the variables x, y which is denoted by z and let P(1,-1)…

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Q: Consider the curve parameterized by x 3t2 15 and y 2t 15. Find equations for all tangent lines to…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: 11. Use the guideline in §4.4 to sketch the curve: f(x) = x² ln x. A). Domain, Symmetry, Asymptotes,…

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Q: u-3 15) If y= u+4 and u = 2/x+ 2, find when x = 7 dx %3D

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Q: (b). lim zInz² et

A: To evaluate: limx→0 xlnx2ex Using logarithmic property we can write the given limit as  limx→0…

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. ii.…

A: Given data÷

Q: Mark the critical points on the following graph. 교e-등, 98 980+ 882 784 686 588 490 392 294 196 98

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Q: The ellipse shown below has parametric equations x(t) = A cos t, y(t) = B sin t, 0 <t< 27.

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