Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

Q: Find the equation of the tangent plane to z = e²+x+x³ + 10

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Q: Question 4 Given that v = (0, -2) and w=(5, -8), what is w - v? A B C D (-5, -6) (-5, 6) (5,6)…

A: v =<0,-2> w = <5,-8> We have to find w-v

Q: Find the area between the curve y = y 2.0 1.5 1.0 0.5 1 square units y = 2 1 x5/4 1 X5/4 3 and the…

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Q: g(y) y - 1 y²y + 1 2

A: to find critical points of gy=y-1y2-y+1

Q: 3. Which of the following statements are TRUE about how y=-4 arcsin 3 I. Vertical stretch of 4 II.…

A: Given a transformed trigonometric function, we need to write down the transformations.

Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

Q: Separating the variables in the equation A. ve *dy = xảy ydy B. = xex dx II C. Jdy = xe-X d D. ydy =…

A: Given data differential equation  ye-xdydx=x

Q: What are the answers for the letters d, e, and f? Thank you!

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Q: 17) Use the Binomial Expansion Theorem to determine the coefficient of xº in the expansion of (x² +…

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Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: Find the Maclaurin series of M8 Σ n=0 X sin(t) S t6 - dt.

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Q: +(Bot + B₁) cost, provided that sint and cost are not solutions of the homogeneous equation.…

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Q: 2. Given z(x, y) = x².3√/y+ex-y + 5 find oxoy²

A: Question 2)  Given function  z( x , y ) = x2.y3 + e4x-y + 5x2∂3z∂x∂y2 = ?

Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 -…

A: We have to find that given lines are parallel interest or skew.

Q: In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in volts, I is…

A: dVdt=-0.03 volts per second ; dRdt=0.03 ohms per secondR=300 ohms ; I=0.02 ampears And V=IR...1

Q: Consider the following differential equation to be solved by the method of undetermined coefficients…

A: According to question,Given differential equation,y''-2y'+10y=ex cos3x

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: A sphere is given having a hole and we need to find out the volume of the resulted solid.

Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

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Q: (b) Determine the following integrals: 3 (i) S. 2 x x² - 1 dr

A: As per our guidelines we are supposed to answer only one question at a time. So only solution of…

Q: Question 4 Given that sin() = 0.73, match each trigonometric function with its value. cos(8) csc (8)…

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Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: The graph of the function Hx is To determine: The value of limx→-2Hx.

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: pls solve within the time given. and make sure it is 100% correct thanks, Determine the concavity…

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Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: A bucket begins holding 15 kgs of sand. The bucket is to be lifted to the top of a 20 meter tall…

A: Initially sand present in bucket = 15 kg,Bucket leaks 0.2 kg/m sand when it is lifted.

Q: SCX anx cotx 2. The expression 1 sinx 2 1 - cos²x is equivalent to which of the following?

A: Formula used  sin2x + cos2x = 1 cscx = 1sinx

Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: The force F has a magnitude of 310 lb and acts along the diagonal of the parallelepiped as shown.…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: Simple interest Formula is given as  SI = P×R×t100 Where P is the principal amount  R is the rate of…

Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

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Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x²…

A: Given: f(x)=x2 We are required to: a. Find the simplified form of the difference quotient…

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 50 - 2x² and above…

A: Here we use the polar coordinates;

Q: Work of 3 Joules is done in stretching a spring from its natural length to 19 cm beyond its natural…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

A: The slope of the tangent line to the curve is equal to the derivative of the function at the given…

Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives…

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Q: T -2 4 f(x) g(r)|h(r) 5 4 9 2 -3

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Q: Find the scalar equation of the plane that contains a(7,1,3), b(-3,4,0) and c(1,-1,2).

A: We have, Points:- A(7, 1, 3) B(-3, 4, 0) C(1, -1, 2)

Q: 4. Graph f(x)=-2log, (x-5)+3 Show your work.Write Domain and range.

A: According to  question,given function,fx= -2 log3x-5+3

Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

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Q: Find the exact solution for e2-2e-35=0. 2x If there is no solution, enter NA. Enclose arguments of…

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Q: A volume is described as follows: 1. the base is the region bounded by = y² + 14y-5 and x = y² - 26y…

A: Given: x = -y^2 + 14 y - 5 x = y^2 - 26 y + 177

Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

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Q: In the space below, solve the equation 5x-3=4x+1 Show your work

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Q: 3. Determine an equation in symmetric form of a line parallel to *³ = = = 2+2 and z+7 3 -4 passing…

A: We have, given line equation: (x - 3)/3 = (y - 5)/-4 = (z + 7)/4