Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

Q: y = 2x2 + 9; (a) x = -1 (b) x = 0 (c) x = 1 dx dt of the given function at the rate dx/dt. Find…

A: We have to find out the derivative

Q: The function y = a. O a-3 O a = -2 ax4 ++has a minimum at the point (√(√)). D . Determine the value…

A: To find the minimum point of the function

Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

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Q: Use Cartesian coordinates to evaluate y² dV D where D is the tetrahedron in the first octant bounded…

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Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Evaluate the double integral over the rectangular region R. x√9 - x²dA R = Mi [[ x√√9 – x²dA; R =…

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Q: Which statement is NOT TRUE about derivatives? O The derivative is the slope of the tangent line to…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: We can solve this as follows:

Q: 22. CHALLENGE If rectangle ABCD has coordinates A(0, 0), B(0, 4), C(4, 3), D(0, 3), find the…

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Q: 12. dx Ve -1

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Q: It is projected that x years from now the population of a certain city will be changing at the rate…

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Q: Use the arc length formula, L = √√√1 + (f' (x))² dæ, to find the length of y = 2ª + 1 on [1, 5].…

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Q: Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented…

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Q: 11. Oil is being pumped continuously from a Texas oil well at a rate proportional to the amount of…

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Q: Consider the function f(x) = x¹ − 50x² +11, x¹50x² This function has an absolute minimum value equal…

A: We need to find absolute max. and min. value.

Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

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Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

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Q: The set S = [1,3] is not./compact. Which open cover of S 9.) {[1,3 + ¼/n) I nεN } b.) { C1-1/n,…

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Q: 9. J et dx 10. 4лr² dr

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

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Q: A farmer finds that if she plants 60 trees per acre, each tree will yield 40 bushels of fruit. She…

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Q: Find the volume of the given solid region bounded below by the cone z= sqrt(x^2+y^2) and sphere…

A: Here we have to find the volume of the solid region.

Q: 7. fx² cos mx dx, where m is constant.

A: We have to solve the integral

Q: Use a double integral to find the volume under the plane z = 2x + y and over the rectangle R = {(x,…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A: First find the first partial derivatives and equate it to zero and find values of x and y. Then find…

Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

Q: The function f(x) = X = (6x 3) e5 has one critical number. Find it.

A: Given function ,   f(x)=(6x-3)e5x

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate (5x + 2√Y) ds where C is given in the accompanying figure. S (5x+2√5) ds- (Type an exact…

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Q: B = {x ER: x is a counting number} = {1,2,3,...} C = {x ER: x = 2n + 1 where n is a nonnegative…

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Q: 20. (x-2x³+1)dx (x² - 2x+5)

A: I am attaching image so that you understand each and every step.

Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Solution of given question is written in below steps.

Q: Find the area of the region using a double integral. The region bounded by y = 4x5, 2x + y = 6, and…

A: To find the area of the region bounded by given curves.

Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one poin…

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Q: Two people on bikes are at the same place. One of the bikers starts riding directly north at a rate…

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. tan(2x…

A: The given function  tan(2x+y)=2x

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

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Q: QUESTION 2 Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: Find the volume V of the solid E enclosed by z = 9-y², z = 36-x, x = 0, and z = 0. (Give an exact…

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Q: Find the antiderivative of f(x) = point (0,3). O F(x) = tan¹x +1 O F(x) = 2 tan ¹x +1 -1 O F(x) =…

A: Given: fx=24x2+1 and x,Fx=0,3   As we know the expression for the antiderivative; Fx=∫fxdx And…

Q: e dx + (2y + xe") dy = 0

A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

Q: Evaluate the definite integral. I's 5 cos(nt/2) dt

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Q: Find the volume of the solid underz = 6 - 5x and above the plane bounded by y plane. O a. 19 O b. 11…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

Q: Vectors: given vectors "=(-3,-1,4) and v = (-2,3,2) 2u- v Add/subtract/scalar multiplication: Find…

A: Given: u=-3,-1,4    and  v=-2,3,2

Q: The fox population in a certain region has a continuous growth rate of 4 percent per year. It is…

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